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Journal articles on the topic 'Single parameter scaling theory'

Author: Grafiati

Published: 6 September 2023

Last updated: 31 July 2025

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1

Qi, Jiang, and Chang-de Gong. "A single parameter scaling theory in a disordered layered system." Physics Letters A 127, no. 2 (1988): 105–8. http://dx.doi.org/10.1016/0375-9601(88)90393-3.

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2

Chakraverty, Snehashish, and Subrat Kumar Jena. "Free Vibration of Single Walled Carbon Nanotube Resting on Exponentially Varying Elastic Foundation." Curved and Layered Structures 5, no. 1 (2018): 260–72. http://dx.doi.org/10.1515/cls-2018-0019.

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Abstract In this article, free vibration of SingleWalled Carbon Nanotube (SWCNT) resting on exponentially varying Winkler elastic foundation is investigated by using Differential Quadrature Method (DQM). Euler-Bernoulli beam theory is considered in conjunction with the nonlocal elasticity theory of Eringen. Step by step procedure is included and MATLAB code has been developed to obtain the numerical results for different scaling parameters as well as for four types of edge conditions. Obtained results are validated with known results in special cases showing good agreement. Further, numerical

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3

Supponen, Outi, Danail Obreschkow, Marc Tinguely, Philippe Kobel, Nicolas Dorsaz, and Mohamed Farhat. "Scaling laws for jets of single cavitation bubbles." Journal of Fluid Mechanics 802 (August 3, 2016): 263–93. http://dx.doi.org/10.1017/jfm.2016.463.

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Fast liquid jets, called micro-jets, are produced within cavitation bubbles experiencing an aspherical collapse. Here we review micro-jets of different origins, scales and appearances, and propose a unified framework to describe their dynamics by using an anisotropy parameter $\unicode[STIX]{x1D701}\geqslant 0$, representing a dimensionless measure of the liquid momentum at the collapse point (Kelvin impulse). This parameter is rigorously defined for various jet drivers, including gravity and nearby boundaries. Combining theoretical considerations with hundreds of high-speed visualisations of

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Kalsi, Tara, Alessandro Romito, and Henning Schomerus. "Spectral chaos bounds from scaling theory of maximally efficient quantum-dynamical scrambling." Quantum 9 (February 26, 2025): 1651. https://doi.org/10.22331/q-2025-02-26-1651.

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A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient. We develop a single-parameter scaling theory for the spectral statistics in this scenario, which embodies exact self-similarity of the spectral correlations along the complete scrambling dynamics. We establish that the scaling predictions are matched by a privileged stochastic process and serve as bounds for other dynamical scrambling scenarios, allowing one to quantify inefficient or incomplete scrambl

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Arapov, Yu G., S. V. Gudina, A. S. Klepikova, et al. "The temperature dependence of the conductivity peak values in the single and the double quantum well nanostructures n-InGaAs/GaAs after IR-illumination." Физика и техника полупроводников 51, no. 2 (2017): 281. http://dx.doi.org/10.21883/ftp.2017.02.44119.8302.

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The dependences of the longitudinal and Hall resistances on a magnetic field in n-InGaAs/GaAs heterostructures with a single and double quantum wells after infrared illumination are measured in the range of magnetic fields B=0-16 T and temperatures T=0.05-4.2 K. Analysis of the experimental results was carried out on a base of two-parameter scaling hypothesis for the integer quantum Hall effect. The value of the second (irrelevant) critical exponent of the theory of two-parameter scaling was estimated. DOI: 10.21883/FTP.2017.02.44119.8302

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Yu, Nan, Guy Delrieu, Brice Boudevillain, Pieter Hazenberg, and Remko Uijlenhoet. "Unified Formulation of Single- and Multimoment Normalizations of the Raindrop Size Distribution Based on the Gamma Probability Density Function." Journal of Applied Meteorology and Climatology 53, no. 1 (2014): 166–79. http://dx.doi.org/10.1175/jamc-d-12-0244.1.

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AbstractThis study offers a unified formulation of single- and multimoment normalizations of the raindrop size distribution (DSD), which have been proposed in the framework of scaling analyses in the literature. The key point is to consider a well-defined “general distribution” g(x) as the probability density function (pdf) of the raindrop diameter scaled by a characteristic diameter Dc. The two-parameter gamma pdf is used to model the g(x) function. This theory is illustrated with a 3-yr DSD time series collected in the Cévennes region, France. It is shown that three DSD moments (M2, M3, and

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7

BIETENHOLZ, W., and T. STRUCKMANN. "PERFECT LATTICE PERTURBATION THEORY: A STUDY OF THE ANHARMONIC OSCILLATOR." International Journal of Modern Physics C 10, no. 04 (1999): 531–53. http://dx.doi.org/10.1142/s0129183199000413.

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As an application of perfect lattice perturbation theory, we construct an O(λ) perfect lattice action for the anharmonic oscillator analytically in momentum space. In coordinate space, we obtain a set of 2-spin and 4-spin couplings ∝λ, which we evaluate for various masses. These couplings never involve variables separated by more than two lattice spacings. The O(λ) perfect action is simulated and compared to the standard action. We discuss the improvement for the first two energy gaps ΔE1, ΔE2 and for the scaling quantity ΔE2/ΔE1 in different regimes of the interaction parameter, and of the co

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8

OKABE, YUTAKA, and MACOTO KIKUCHI. "UNIVERSAL FINITE-SIZE-SCALING FUNCTIONS." International Journal of Modern Physics C 07, no. 03 (1996): 287–94. http://dx.doi.org/10.1142/s0129183196000223.

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The idea of universal finite-size-scaling functions of the Ising model is tested by Monte Carlo simulations for various lattices. Not only regular lattices such as the square lattice but quasiperiodic lattices such as the Penrose lattice are treated. We show that the finite-size-scaling functions of the order parameter for various lattices are collapsed on a single curve by choosing two nonuniversal scaling metric factors. We extend the idea of the universal finite-size-scaling functions to the order-parameter distribution function. We pay attention to the effects of boundary conditions.

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9

Sivakumar, Adhithiya, and Jeffrey B. Weiss. "Volume Transport by a 3D Quasigeostrophic Heton." Fluids 7, no. 3 (2022): 92. http://dx.doi.org/10.3390/fluids7030092.

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Oceanic flows self-organize into coherent vortices, which strongly influence their transport and mixing properties. Counter-rotating vortex pairs can travel long distances and carry trapped fluid as they move. These structures are often modeled as hetons, viz. counter-rotating quasigeostrophic point vortex pairs with equal circulations. Here, we investigate the structure of the transport induced by a single three-dimensional heton. The transport is determined by the Hamiltonian structure of the velocity field induced by the heton’s component vortices. The dynamics display a sequence of bifurca

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10

YU, J., Y. NAMBA, and M. SHIOKAWA. "FRACTAL ROUGHNESS CHARACTERIZATION OF SUPER-GROUND Mn-Zn FERRITE SINGLE CRYSTALS." Fractals 04, no. 02 (1996): 205–11. http://dx.doi.org/10.1142/s0218348x96000285.

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The surface of superground Mn-Zn ferrite single crystal may be identified as a self-affine fractal in the stochastic sense. The rms roughness increased as a power of the scale from 102 nm to 106 nm with the roughness exponent α=0.17±0.04, and 0.11±0.06, for grinding feed rate of 15 and 10 μm/rev, respectively. The scaling behavior coincided with the theory prediction well used for growing self-affine surfaces in the interested region for magnetic heads performance. The rms roughnesses increased with increase in the feed rate, implying that the feed rate is a crucial grinding parameter affectin

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11

Zhang, Shu, Bing Wei, Qun Wei, Renxian Li, Shiguo Chen, and Ningning Song. "Optical Force of Bessel Pincer Light-Sheets Beam on a Dielectric Sphere of Arbitrary Size." Nanomaterials 12, no. 21 (2022): 3723. http://dx.doi.org/10.3390/nano12213723.

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In the framework of Generalized Lorenz–Mie theory (GLMT), based on the expansion results of electromagnetic field radiation components of Bessel pincer light sheets beam acting on dielectric particles of arbitrary size, the expression of radiation force components in a Cartesian coordinate system is obtained by using the Maxwell stress tensor method. On the one hand, the effects of the refractive index and the equivalent radius of spherical particles on the distribution of radiation force are discussed; On the other hand, the influence of beam scaling parameter and beam order of Bessel pincer

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12

Freedman, R., and J. P. Vogiatzis. "Theory of induced‐polarization logging in a borehole." GEOPHYSICS 51, no. 9 (1986): 1830–49. http://dx.doi.org/10.1190/1.1442229.

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Currently, there is interest by the petroleum well‐logging industry in the potential use of induced polarization (IP) measurements to improve formation evaluation in shaly sands. Shell Development Company has constructed an experimental four‐electrode IP and resistivity logging tool to obtain downhole measurements in shaly sands. This study contributes to the theoretical understanding and interpretation of the dynamic (i.e., time‐dependent) response of this type of downhole IP logging device. A low‐frequency (e.g., 32 Hz or less) electric current oscillating at a single fixed frequency is appl

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13

Tóth, László Z., Emil Bronstein, Lajos Daróczi, Doron Shilo, and Dezső L. Beke. "Scaling of Average Avalanche Shapes for Acoustic Emission during Jerky Motion of Single Twin Boundary in Single-Crystalline Ni2MnGa." Materials 16, no. 5 (2023): 2089. http://dx.doi.org/10.3390/ma16052089.

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Temporal average shapes of crackling noise avalanches, U(t) (U is the detected parameter proportional to the interface velocity), have self-similar behavior, and it is expected that by appropriate normalization, they can be scaled together according to a universal scaling function. There are also universal scaling relations between the avalanche parameters (amplitude, A, energy, E, size (area), S, and duration, T), which in the mean field theory (MFT) have the form E∝A3, S∝A2, S∝T2. Recently, it turned out that normalizing the theoretically predicted average U(t) function at a fixed size, U(t)

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14

Chen, X. S., та V. Dohm. "Lattice φ4 Theory of Finite-Size Effects Above the Upper Critical Dimension". International Journal of Modern Physics C 09, № 07 (1998): 1073–105. http://dx.doi.org/10.1142/s012918319800100x.

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We present a perturbative calculation of finite-size effects near Tc of the φ4 lattice model in a d-dimensional cubic geometry of size L with periodic boundary conditions for d>4. The structural differences between the φ4 lattice theory and the φ4 field theory found previously in the spherical limit are shown to exist also for a finite number of components of the order parameter. The two-variable finite-size scaling functions of the field theory are nonuniversal whereas those of the lattice theory are independent of the nonuniversal model parameters. One-loop results for finite-size scaling

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15

LIU, DONGZI, and S. DAS SARMA. "UNIVERSALITY IN TWO–DIMENSIONAL LANDAU LEVEL LOCALIZATION." Modern Physics Letters B 07, no. 07 (1993): 449–57. http://dx.doi.org/10.1142/s0217984993000448.

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We show, based on a direct numerical calculation of the Lyapunov exponents of the system and a finite-size single parameter scaling analysis, that the strong-field Landau level localization in a disordered two-dimensional electron gas is non-universal for short-range delta function random scatterers in the sense that the critical exponents in the two lowest Landau levels are substantially different. Inclusion of Landau level coupling and/or consideration of finite range of the random scattering potential in the theory restore the universality and make the computed critical exponents approximat

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16

Zhang, Shu, Shiguo Chen, Qun Wei, Renxian Li, Bing Wei, and Ningning Song. "Scattering Characteristics of a Circularly Polarized Bessel Pincer Light-Sheet Beam Interacting with a Chiral Sphere of Arbitrary Size." Micromachines 16, no. 8 (2025): 845. https://doi.org/10.3390/mi16080845.

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The scattering interaction between a circularly polarized Bessel pincer light-sheet beam and a chiral particle is investigated within the framework of generalized Lorenz–Mie theory (GLMT). The incident electric field distribution is rigorously derived via the vector angular spectrum decomposition method (VASDM), with subsequent determination of the beam-shape coefficients (BSCs) pmnu and qmnu through multipole expansion in the basis of vector spherical wave functions (VSWFs). The expansion coefficients for the scattered field (AmnsBmns) and interior field (AmnBmn) are derived by imposing bound

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17

Lee, GyuWon, Viswanathan Bringi, and Merhala Thurai. "The Retrieval of Drop Size Distribution Parameters Using a Dual-Polarimetric Radar." Remote Sensing 15, no. 4 (2023): 1063. http://dx.doi.org/10.3390/rs15041063.

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The raindrop size distribution (DSD) is vital for applications such as quantitative precipitation estimation, understanding microphysical processes, and validation/improvement of two-moment bulk microphysical schemes. We trace the history of the DSD representation and its linkage to polarimetric radar observables from functional forms (exponential, gamma, and generalized gamma models) and its normalization (un-normalized, single/double-moment scaling normalized). The four-parameter generalized gamma model is a good candidate for the optimal representation of the DSD variability. A radar-based

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18

Wang, Xiaofeng, and Wenshuo Li. "Stability Analysis of Simple Root Seeker for Nonlinear Equation." Axioms 12, no. 2 (2023): 215. http://dx.doi.org/10.3390/axioms12020215.

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In this paper, the stability of a class of Liu–Wang’s optimal eighth-order single-parameter iterative methods for solving simple roots of nonlinear equations was studied by applying them to arbitrary quadratic polynomials. Under the Riemann sphere and scaling theorem, the complex dynamic behavior of the iterative method was analyzed by fractals. We discuss the stability of all fixed points and the parameter spaces starting from the critical points with the Mathematica software. The dynamical planes of the elements with good and bad dynamical behavior are given, and the optimal parameter elemen

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19

Hsiao, Pai-Yi. "Scaling Theory of a Polymer Ejecting from a Cavity into a Semi-Space." Polymers 12, no. 12 (2020): 3014. http://dx.doi.org/10.3390/polym12123014.

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A two-stage model is developed in order to understand the scaling behaviors of single polymers ejecting from a spherical cavity through a nanopore. The dynamics of ejection is derived by balancing the free energy change with the energy dissipation during a process. The ejection velocity is found to vary with the number of monomers in the cavity, m, as mz1/(Nx1D3z1) at the confined stage, and it turns to be m−z2 at the non-confined stage, where N is the chain length and D the cavity diameter. The exponents are shown to be z1=(3ν−1)−1, z2=2ν and x1=1/3, with ν being the Flory exponent. The profi

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20

Brandão, Rodolfo, Jacob R. Holley, and Ory Schnitzer. "Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2242 (2020): 20200444. http://dx.doi.org/10.1098/rspa.2020.0444.

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We study the problem of resonant extraordinary transmission of electromagnetic and acoustic waves through subwavelength slits in an infinite plate, whose thickness is close to a half-multiple of the wavelength. We build on the matched-asymptotics analysis of Holley & Schnitzer (2019 Wave Motion 91 , 102381 (doi:10.1016/j.wavemoti.2019.102381)), who considered a single-slit system assuming an idealized formulation where dissipation is neglected and the electromagnetic and acoustic problems are analogous. We here extend that theory to include thin dissipative boundary layers associated with

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21

Selvamani, Rajendran, M. Mahaveer Sree Jayan, Rossana Dimitri, Francesco Tornabene, and Farzad Ebrahimi. "Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate." Curved and Layered Structures 7, no. 1 (2020): 153–65. http://dx.doi.org/10.1515/cls-2020-0012.

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AbstractThe present paper aims at studying the nonlinear ultrasonic waves in a magneto-thermo-elastic armchair single-walled (SW) carbon nanotube (CNT) with mass sensors resting on a polymer substrate. The analytical formulation accounts for small scale effects based on the Eringen’s nonlocal elasticity theory. The mathematical model and its differential equations are solved theoretically in terms of dimensionless frequencies while assuming a nonlinear Winkler-Pasternak-type foundation. The solution is obtained by means of ultrasonic wave dispersion relations. A parametric work is carried out

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22

Murtazaev, A. K., A. B. Babaev, and G. Y. Ataeva. "Critical properties of 2d disordered 3-state antiferromagnetic potts model ON TRIANGULAR LATTICE." EPJ Web of Conferences 185 (2018): 11001. http://dx.doi.org/10.1051/epjconf/201818511001.

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By introducing a small amount of non-magnetic impurities into an antiferromagnetic (AF) two-dimensional (2D) Potts model on a triangular lattice it is that the impurities in spin systems described by this model result in the change of a first order to a second-order phase transition. The systems with linear sizes L × L = N, L = 9-144 are considered. Investigations are performed using the standard Metropolis algorithm along with Monte-Carlo single-cluster Wolff algorithm. On the basis of the theory of finite-size scaling, critical exponents (CE) are calculated: the heat capacity α, the suscepti

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23

Chavas, Daniel R., and Kerry Emanuel. "Equilibrium Tropical Cyclone Size in an Idealized State of Axisymmetric Radiative–Convective Equilibrium*." Journal of the Atmospheric Sciences 71, no. 5 (2014): 1663–80. http://dx.doi.org/10.1175/jas-d-13-0155.1.

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Abstract Tropical cyclone size remains an unsolved problem in tropical meteorology, yet size plays a significant role in modulating damage. This work employs the Bryan cloud model (CM1) to systematically explore the sensitivity of the structure of an axisymmetric tropical cyclone at statistical equilibrium to the set of relevant model, initial, and environmental external parameters. The analysis is performed in a highly idealized state of radiative–convective equilibrium (RCE) governed by only four thermodynamic parameters, which are shown to modulate the storm structure primarily via modulati

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Vukanic, Jovan, and Rodoljub Simovic. "Reflection of keV light ions from solids at oblique and grazing incidence." Nuclear Technology and Radiation Protection 24, no. 3 (2009): 188–94. http://dx.doi.org/10.2298/ntrp0903188v.

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The particle reflection coefficient of light keV ions backscattered from heavy targets has been determined by two different analytical approaches: by the single collision model in the case of nearly perpendicular incidence and by the small-angle multiple scattering theory in the case of glancing angles of incidence. The obtained analytical formulae are approximately universal functions of the scaled transport cross-section describing the reflection of all light ions from heavy targets. Going from perpendicular to grazing incidence, the transition from pure single to pure multiple scattering ty

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NARENDAR, S., and S. GOPALAKRISHNAN. "A NONLOCAL CONTINUUM MECHANICS MODEL TO ESTIMATE THE MATERIAL PROPERTY OF SINGLE-WALLED CARBON NANOTUBES." International Journal of Nanoscience 11, no. 01 (2012): 1250007. http://dx.doi.org/10.1142/s0219581x1250007x.

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A subject of current technological interest is that of nanotechnology. It would appear that nonlocal continuum mechanics could potentially play a useful role in analysis related to nanotechnology applications. The present work explores this potential in the context of a specific application. The length scales associated with nanotechnology are often sufficiently small to call the applicability of classical continuum models into question. Atomic and molecular models, while certainly conceptually valid for small length scales, are difficult to formulate accurately and are almost always computati

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LUMB, S., S. K. MUTHU, and K. K. SINGH. "LATTICE EQUILIBRIUM THEORY AND SIZE EFFECTS FOR BOSONS IN A BOUNDED HARMONIC POTENTIAL." International Journal of Modern Physics B 20, no. 02 (2006): 151–79. http://dx.doi.org/10.1142/s0217979206033164.

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Effects of finite spatial size of boson assemblies in traps are studied in a self-consistent lattice theory by modeling the trap as a bounded harmonic potential of size R0. The thermodynamic quantities exhibit scaling and crossover from ideal gas behaviour at small (R0/a0) to that appropriate to an unbounded harmonic potential at large (R0/a0) with a crossover parameter [Formula: see text], a0 being the harmonic oscillator length, and τ denoting the dimensionless thermal energy. The numerical results obtained earlier by computing the energy levels of the bounded harmonic oscillator fit the gen

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Anfodillo, Tommaso, Marco Carrer, Filippo Simini, Ionel Popa, Jayanth R. Banavar, and Amos Maritan. "An allometry-based approach for understanding forest structure, predicting tree-size distribution and assessing the degree of disturbance." Proceedings of the Royal Society B: Biological Sciences 280, no. 1751 (2013): 20122375. http://dx.doi.org/10.1098/rspb.2012.2375.

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Tree-size distribution is one of the most investigated subjects in plant population biology. The forestry literature reports that tree-size distribution trajectories vary across different stands and/or species, whereas the metabolic scaling theory suggests that the tree number scales universally as −2 power of diameter. Here, we propose a simple functional scaling model in which these two opposing results are reconciled. Basic principles related to crown shape, energy optimization and the finite-size scaling approach were used to define a set of relationships based on a single parameter that a

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Dawson, Thomas H. "Scaling Adult Doses of Antifungal and Antibacterial Agents to Children." Antimicrobial Agents and Chemotherapy 56, no. 6 (2012): 2948–58. http://dx.doi.org/10.1128/aac.05307-11.

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ABSTRACTMy general pharmacokinetic scaling theory is discussed for the important matter of determining pediatric dosing for existing and new therapeutic drugs when optimal, or near-optimal, dosing for adults is known. The basis for the scaling is the requirement of a time-scaled likeness of the free-drug concentration time histories of children and adults. Broad categories of single and periodic dosing are considered. The former involves the scaling of dosage, and the latter involves both the dosage and schedule. The validity of the scaling relations is demonstrated by using measurements from

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Neunaber, Ingrid, Joachim Peinke, and Martin Obligado. "Application of the Townsend–George theory for free shear flows to single and double wind turbine wakes – a wind tunnel study." Wind Energy Science 7, no. 1 (2022): 201–19. http://dx.doi.org/10.5194/wes-7-201-2022.

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Abstract. The evolution of the mean velocity and the turbulence downstream of wind turbine wakes within the atmospheric boundary layer has been studied over the past decades, but an analytical description is still missing. One possibility to improve the comprehension of this is to look into the modeling of turbulent bluff body wakes. There, by means of the streamwise scaling of the centerline mean velocity deficit, the nature of the turbulence inside a wake can be classified. In this paper, we introduce the analytical model of classical wake theory as introduced by Albert Alan Townsend and Wil

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Xia, Xi, Chengming He, and Peng Zhang. "Universality in the viscous-to-inertial coalescence of liquid droplets." Proceedings of the National Academy of Sciences 116, no. 47 (2019): 23467–72. http://dx.doi.org/10.1073/pnas.1910711116.

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We present a theory on the coalescence of 2 spherical liquid droplets that are initially stationary. The evolution of the radius of a liquid neck formed upon coalescence was formulated as an initial value problem and then solved to yield an exact solution without free parameters, with its 2 asymptotic approximations reproducing the well-known scaling relations in the inertially limited viscous and inertial regimes. The viscous-to-inertial crossover observed in previous research is also recovered by the theory, rendering the collapse of data of different viscosities onto a single curve.

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Jena, Subrat Kumar, and S. Chakraverty. "Free Vibration Analysis of Single Walled Carbon Nanotube with Exponentially Varying Stiffness." Curved and Layered Structures 5, no. 1 (2018): 201–12. http://dx.doi.org/10.1515/cls-2018-0015.

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Abstract In this paper, Differential Quadrature Method (DQM) is applied to investigate free vibration of Single Walled Carbon Nanotubes (SWCNTs) with exponentially varying stiffness based on non-local Euler-Bernoulli beam theory. Application of DQ method in the governing differential equation converts the problem to a generalized eigenvalue problem and its solution gives frequency parameters. Convergence of the results show that DQM solutions converge fast. In this article, a detailed investigation has been reported and MATLAB code has been developed to analyze the numerical results for differ

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WOSNIK, MARTIN, LUCIANO CASTILLO, and WILLIAM K. GEORGE. "A theory for turbulent pipe and channel flows." Journal of Fluid Mechanics 421 (October 25, 2000): 115–45. http://dx.doi.org/10.1017/s0022112000001385.

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A theory for fully developed turbulent pipe and channel flows is proposed which extends the classical analysis to include the effects of finite Reynolds number. The proper scaling for these flows at finite Reynolds number is developed from dimensional and physical considerations using the Reynolds-averaged Navier–Stokes equations. In the limit of infinite Reynolds number, these reduce to the familiar law of the wall and velocity deficit law respectively.The fact that both scaled profiles describe the entire flow for finite values of Reynolds number but reduce to inner and outer profiles is use

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Cao, Kai, Xiangqi Bai, Yiguang Hong, and Lin Wan. "Unsupervised topological alignment for single-cell multi-omics integration." Bioinformatics 36, Supplement_1 (2020): i48—i56. http://dx.doi.org/10.1093/bioinformatics/btaa443.

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Abstract Motivation Single-cell multi-omics data provide a comprehensive molecular view of cells. However, single-cell multi-omics datasets consist of unpaired cells measured with distinct unmatched features across modalities, making data integration challenging. Results In this study, we present a novel algorithm, termed UnionCom, for the unsupervised topological alignment of single-cell multi-omics integration. UnionCom does not require any correspondence information, either among cells or among features. It first embeds the intrinsic low-dimensional structure of each single-cell dataset int

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Zhou, Yuxing, Baicheng Mei, and Kenneth S. Schweizer. "Activated relaxation in supercooled monodisperse atomic and polymeric WCA fluids: Simulation and ECNLE theory." Journal of Chemical Physics 156, no. 11 (2022): 114901. http://dx.doi.org/10.1063/5.0079221.

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We combine simulation and Elastically Collective Nonlinear Langevin Equation (ECNLE) theory to study the activated relaxation in monodisperse atomic and polymeric Weeks–Chandler–Andersen (WCA) liquids over a wide range of temperatures and densities in the supercooled regime under isochoric conditions. By employing novel crystal-avoiding simulations, metastable equilibrium dynamics is probed in the absence of complications associated with size polydispersity. Based on a highly accurate structural input from integral equation theory, ECNLE theory is found to describe well the simulated density a

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Nino, Daniel F., Daniel Djayakarsana, and Joshua N. Milstein. "FOCAL3D: A 3-dimensional clustering package for single-molecule localization microscopy." PLOS Computational Biology 16, no. 12 (2020): e1008479. http://dx.doi.org/10.1371/journal.pcbi.1008479.

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Single-molecule localization microscopy (SMLM) is a powerful tool for studying intracellular structure and macromolecular organization at the nanoscale. The increasingly massive pointillistic data sets generated by SMLM require the development of new and highly efficient quantification tools. Here we present FOCAL3D, an accurate, flexible and exceedingly fast (scaling linearly with the number of localizations) density-based algorithm for quantifying spatial clustering in large 3D SMLM data sets. Unlike DBSCAN, which is perhaps the most commonly employed density-based clustering algorithm, an o

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Abreu, Rafael. "Micropolar Modeling of Shear Wave Dispersion in Marine Sediments and Deep Earth Materials: Deriving Scaling Laws." Geosciences 15, no. 4 (2025): 124. https://doi.org/10.3390/geosciences15040124.

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We draw connections between eight different theories used to describe microscopic (atomic) and macroscopic (seismological) scales. In particular, we show that all these different theories belong to a particular case of a single partial differential equation, allowing us to gain new physical insights and draw connection among them. With this general understanding, we apply the micropolar theory to the description of shear-wave dispersion in marine sediments, showing how we can reproduce observations by only using two micropolar parameters in contrast to the seventeen parameters required by modi

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SAVVIDY, G. K., and K. G. SAVVIDY. "STRING FINE-TUNING." International Journal of Modern Physics A 08, no. 22 (1993): 3993–4011. http://dx.doi.org/10.1142/s0217751x93001624.

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We develop further a new geometrical model of a discretized string, proposed in Ref. 1, and establish its basic physical properties. The model can be considered as the natural extension of the usual Feynman amplitude of the random walks to random surfaces. Both amplitudes coincide in the case, when the surface degenerates into a single particle world line. We extend the model to open surfaces as well. The boundary contribution is proportional to the full length of the boundary, and the coefficient of proportionality can be treated as a hopping parameter of the quarks. In the limit when this pa

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Wiryanto, Leo Hari, and Warsoma Djohan. "Fourth Order PDE: Model of Thin Film Flow Involving Surface Tension." Journal of the Indonesian Mathematical Society 31, no. 2 (2025): 1454. https://doi.org/10.22342/jims.v31i2.1454.

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Surface wave on thin film is considered by involving surface tension. The fluid flows on an inclined channel. The model is based on lubrication theory, and presented in a single equation of the thickness of the fluid as wave movement, and the equation is strongly nonlinear. In solving the model, scaling and linearized processes are applied. So that three physical parameters play an important role in the wave propagation: bottom inclination, length of the scaling and the surface tension. Each of those parameters is represented as a term in the equation. Then, the equation is solved numerically

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Picard, Nicolas. "Asymmetric Competition Can Shape the Size Distribution of Trees in a Natural Tropical Forest." Forest Science 65, no. 5 (2019): 562–69. http://dx.doi.org/10.1093/forsci/fxz018.

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Abstract The architecture (here, the size distribution combined with the spatial pattern of individuals) of natural forest at demographic equilibrium can be used to infer the demographic processes that drive the forest dynamics. In particular, a constant growth rate and a constant mortality rate for all trees would generate an exponential distribution of their size, whereas the metabolic scaling theory predicts a power distribution. In an undisturbed tropical rainforest in French Guiana, the diameter distribution was significantly steeper than the best-fit exponential distribution and signific

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FANG, JUN, JING SHI, XI-QUN CHEN, and ZHENG QIN. "A TWO-DIMENSIONAL CA TRAFFIC MODEL WITH DYNAMIC ROUTE CHOICES BETWEEN RESIDENCE AND WORKPLACE." International Journal of Modern Physics C 21, no. 02 (2010): 221–37. http://dx.doi.org/10.1142/s0129183110015075.

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The Biham, Middleton and Levine (BML) model is extended to describe dynamic route choices between the residence and workplace in cities. The traffic dynamic in the city with a single workplace is studied from the velocity diagram, arrival time probability distribution, destination arrival rate and convergence time. The city with double workplaces is also investigated to compare with a single workplace within the framework of four modes of urban growth. The transitional region is found in the velocity diagrams where the system undergoes a continuous transition from a moving phase to a completel

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Korup, Oliver, Lisa V. Luna, and Joaquin V. Ferrer. "Size scaling of large landslides from incomplete inventories." Natural Hazards and Earth System Sciences 24, no. 11 (2024): 3815–32. http://dx.doi.org/10.5194/nhess-24-3815-2024.

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Abstract. Landslide inventories have become cornerstones for estimating the relationship between the frequency and size of slope failures, thus informing appraisals of hillslope stability, erosion, and commensurate hazard. Numerous studies have reported how larger landslides are systematically rarer than smaller ones, drawing on probability distributions fitted to mapped landslide areas or volumes. In these models, much uncertainty concerns the larger landslides (defined here as affecting areas ≥ 0.1 km2) that are rarely sampled and often projected by extrapolating beyond the observed size ran

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Ruiz, Alejandro. "Dynamic Balance: A Thermodynamic Principle for the Emergence of the Golden Ratio in Open Non-Equilibrium Steady States." Entropy 27, no. 7 (2025): 745. https://doi.org/10.3390/e27070745.

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We develop a symmetry-based variational theory that shows the coarse-grained balance of work inflow to heat outflow in a driven, dissipative system relaxed to the golden ratio. Two order-2 Möbius transformations—a self-dual flip and a self-similar shift—generate a discrete non-abelian subgroup of PGL(2,Q(5)). Requiring any smooth, strictly convex Lyapunov functional to be invariant under both maps enforces a single non-equilibrium fixed point: the golden mean. We confirm this result by (i) a gradient-flow partial-differential equation, (ii) a birth–death Markov chain whose continuum limit is F

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Nagy, József, Sándor Nagy, and Kornél Sailer. "Time Scales of Slow-Roll Inflation in Asymptotically Safe Cosmology." Universe 11, no. 3 (2025): 77. https://doi.org/10.3390/universe11030077.

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Making use of the well-known renormalization group (RG) scale dependences of the gravitational couplings in the framework of the two-parameter Einstein–Hilbert (EH) theory of gravity, the single scalar field-driven cosmological inflation is discussed in a spatially homogeneous, isotropic, and flat model universe. The inflaton field is represented by a one-component real, non-self-interacting, massive scalar field minimally coupled to gravity. Cases without and with the incorporation of the RG scaling of the inflaton mass are compared with each other and with the corresponding classical case. I

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Lazarus, Eli D., Kirstin L. Davenport, and Ana Matias. "Dynamic allometry in coastal overwash morphology." Earth Surface Dynamics 8, no. 1 (2020): 37–50. http://dx.doi.org/10.5194/esurf-8-37-2020.

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Abstract. Allometry refers to a physical principle in which geometric (and/or metabolic) characteristics of an object or organism are correlated to its size. Allometric scaling relationships typically manifest as power laws. In geomorphic contexts, scaling relationships are a quantitative signature of organization, structure, or regularity in a landscape, even if the mechanistic processes responsible for creating such a pattern are unclear. Despite the ubiquity and variety of scaling relationships in physical landscapes, the emergence and development of these relationships tend to be difficult

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Kormendy, John, and K. C. Freeman. "Scaling Laws for Dark Matter Halos in Late-Type and Dwarf Spheroidal Galaxies." Symposium - International Astronomical Union 220 (2004): 377–97. http://dx.doi.org/10.1017/s0074180900183706.

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Published mass models fitted to galaxy rotation curves are used to study the systematic properties of dark matter (DM) halos in late-type and dwarf spheroidal (dSph) galaxies. Halo parameters are derived by fitting non-singular isothermals to (V2 – V2vis)1/2, where V(r) is the observed rotation curve and Vvis is the rotation curve of the visible matter. the latter is calculated from the surface brightness assuming that the mass-to-light ratio M/L is constant with radius. “Maximum disk” values of M/L are adjusted to fit as much of the inner rotation curve as possible without making the halo hav

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GUENDELMAN, E. I., and A. B. KAGANOVICH. "SSB OF SCALE SYMMETRY, FERMION FAMILIES AND QUINTESSENCE WITHOUT THE LONG-RANGE FORCE PROBLEM." International Journal of Modern Physics A 17, no. 03 (2002): 417–33. http://dx.doi.org/10.1142/s0217751x02005736.

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We study a scale-invariant two measures theory where a dilaton field ϕ has no explicit potentials. The scale transformations include the translation of a dilaton ϕ→ϕ+ const . The theory demonstrates a new mechanism for generation of the exponential potential: in the conformal Einstein frame (CEF), after SSB of scale invariance, the theory develops the exponential potential and, in general, the nonlinear kinetic term is generated as well. The scale symmetry does not allow the appearance of terms breaking the exponential shape of the potential that solves the problem of the flatness of the scala

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Avsarkisov, Victor, Erich Becker, and Toralf Renkwitz. "Turbulent Parameters in the Middle Atmosphere: Theoretical Estimates Deduced from a Gravity Wave–Resolving General Circulation Model." Journal of the Atmospheric Sciences 79, no. 4 (2022): 933–52. http://dx.doi.org/10.1175/jas-d-21-0005.1.

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Abstract We present a scaling analysis for the stratified turbulent and small-scale turbulent regimes of atmospheric flow with emphasis on the mesosphere. We distinguish rotating-stratified macroturbulence turbulence (SMT), stratified turbulence (ST), and small-scale isotropic Kolmogorov turbulence (KT), and we specify the length and time scales and the characteristic velocities for these regimes. It is shown that the buoyancy scale (Lb) and the Ozmidov scale (Lo) are the main parameters that describe the transition from SMT to KT. We employ the buoyancy Reynolds number and horizontal Froude n

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Selvamani, Rajendran, M. Mahaveer Sree Jayan, and Farzad Ebrahimi. "Nonlinear ultrasonic waves in a magneto-flexo-thermally actuated single walled armchair carbon nanotube embedded on polymer matrix." World Journal of Engineering 18, no. 1 (2020): 1–13. http://dx.doi.org/10.1108/wje-02-2020-0066.

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Purpose The purpose of this paper is concerned with the study of nonlinear ultrasonic waves in a magneto-flexo-thermo (MFT) elastic armchair single-walled carbon nanotube (ASWCNT) resting on polymer matrix. Design/methodology/approach A mathematical model is developed for the analytical study of nonlinear ultrasonic waves in a MFT elastic armchair single walled carbon nanotube rested on polymer matrix using Euler beam theory. The analytical formulation is developed based on Eringen’s nonlocal elasticity theory to account small scale effect. After developing the formal solution of the mathemati

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Moore, Jonathan R., Arthur P. K. Argles, Kai Zhu, Chris Huntingford, and Peter M. Cox. "Validation of demographic equilibrium theory against tree-size distributions and biomass density in Amazonia." Biogeosciences 17, no. 4 (2020): 1013–32. http://dx.doi.org/10.5194/bg-17-1013-2020.

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Abstract. Predicting the response of forests to climate and land-use change depends on models that can simulate the time-varying distribution of different tree sizes within a forest – so-called forest demography models. A necessary condition for such models to be trustworthy is that they can reproduce the tree-size distributions that are observed within existing forests worldwide. In a previous study, we showed that demographic equilibrium theory (DET) is able to fit tree-diameter distributions for forests across North America, using a single site-specific fitting parameter (μ) which represent

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WEST, DAMIEN, and BRUCE J. WEST. "ON ALLOMETRY RELATIONS." International Journal of Modern Physics B 26, no. 18 (2012): 1230010. http://dx.doi.org/10.1142/s0217979212300101.

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There are a substantial number of empirical relations that began with the identification of a pattern in data; were shown to have a terse power-law description; were interpreted using existing theory; reached the level of "law" and given a name; only to be subsequently fade away when it proved impossible to connect the "law" with a larger body of theory and/or data. Various forms of allometry relations (ARs) have followed this path. The ARs in biology are nearly two hundred years old and those in ecology, geophysics, physiology and other areas of investigation are not that much younger. In gen

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