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Статті в журналах з теми "Interacting particles systems"

Автор: Grafiati

Опубліковано: 2 листопада 2024

Оновлено: 31 липня 2025

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1

Karmanov, Vladimir A. "Abnormal Bound Systems." Universe 8, no. 2 (2022): 95. http://dx.doi.org/10.3390/universe8020095.

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It is taken for granted that bound systems are made of massive constituents that interact through particle exchanges (charged particles interacting via photon exchanges, quarks in elementary particles interacting via gluon exchanges, and nucleons in nuclei interacting via meson exchanges). However, as was recently theoretically found, there exist systems dominated by exchange particles (at least for the zero exchange masses). In these systems, the contribution of massive constituents is negligible. These systems have a relativistic nature (since they are mainly made of massless particles movin

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2

Abadi, Noam, and Franco Ruzzenenti. "Complex Networks and Interacting Particle Systems." Entropy 25, no. 11 (2023): 1490. http://dx.doi.org/10.3390/e25111490.

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Complex networks is a growing discipline aimed at understanding large interacting systems. One of its goals is to establish a relation between the interactions of a system and the networks structure that emerges. Taking a Lennard-Jones particle system as an example, we show that when interactions are governed by a potential, the notion of structure given by the physical arrangement of the interacting particles can be interpreted as a binary approximation to the interaction potential. This approximation simplifies the calculation of the partition function of the system and allows to study the s

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3

Sudbury, Aidan. "The survival of various interacting particle systems." Advances in Applied Probability 25, no. 4 (1993): 1010–12. http://dx.doi.org/10.2307/1427804.

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Particles may be removed from a lattice by murder, coalescence, mutual annihilation and simple death. If the particle system is not to die out, the removed particles must be replaced by births. This letter shows that coalescence can be counteracted by arbitrarily small birth-rates and contrasts this with the situations for annihilation and pure death where there are critical phenomena. The problem is unresolved for murder.

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4

Sudbury, Aidan. "The survival of various interacting particle systems." Advances in Applied Probability 25, no. 04 (1993): 1010–12. http://dx.doi.org/10.1017/s0001867800025878.

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Анотація:

Particles may be removed from a lattice by murder, coalescence, mutual annihilation and simple death. If the particle system is not to die out, the removed particles must be replaced by births. This letter shows that coalescence can be counteracted by arbitrarily small birth-rates and contrasts this with the situations for annihilation and pure death where there are critical phenomena. The problem is unresolved for murder.

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5

Dolgopyat, Dmitry, Bassam Fayad, Leonid Koralov, and Shuo Yan. "Energy growth for systems of coupled oscillators with partial damping." Nonlinearity 38, no. 5 (2025): 055001. https://doi.org/10.1088/1361-6544/adc8ee.

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Abstract We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject to friction, which models energy dissipation due to the interaction with the environment. We show that, in the diffusive limit, the absolute value of the velocity of the other particle converges to the reflected Brownian motion. In other words, the interaction between the particles is asymptotically negligible in the scaling limit. The proof combines averaging for large energies with large deviation estimate

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6

Itoh, Yoshiaki, Colin Mallows, and Larry Shepp. "Explicit sufficient invariants for an interacting particle system." Journal of Applied Probability 35, no. 3 (1998): 633–41. http://dx.doi.org/10.1239/jap/1032265211.

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We introduce a new class of interacting particle systems on a graph G. Suppose initially there are Ni(0) particles at each vertex i of G, and that the particles interact to form a Markov chain: at each instant two particles are chosen at random, and if these are at adjacent vertices of G, one particle jumps to the other particle's vertex, each with probability 1/2. The process N enters a death state after a finite time when all the particles are in some independent subset of the vertices of G, i.e. a set of vertices with no edges between any two of them. The problem is to find the distribution

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7

Itoh, Yoshiaki, Colin Mallows, and Larry Shepp. "Explicit sufficient invariants for an interacting particle system." Journal of Applied Probability 35, no. 03 (1998): 633–41. http://dx.doi.org/10.1017/s0021900200016284.

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We introduce a new class of interacting particle systems on a graph G. Suppose initially there are N i (0) particles at each vertex i of G, and that the particles interact to form a Markov chain: at each instant two particles are chosen at random, and if these are at adjacent vertices of G, one particle jumps to the other particle's vertex, each with probability 1/2. The process N enters a death state after a finite time when all the particles are in some independent subset of the vertices of G, i.e. a set of vertices with no edges between any two of them. The problem is to find the distributi

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8

METZNER, WALTER, and CLAUDIO CASTELLANI. "TWO PARTICLE CORRELATIONS AND ORTHOGONALITY CATASTROPHE IN INTERACTING FERMI SYSTEMS." International Journal of Modern Physics B 09, no. 16 (1995): 1959–83. http://dx.doi.org/10.1142/s021797929500080x.

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The wave function of two fermions, repulsively interacting in the presence of a Fermi sea, is evaluated in detail. We consider large but finite systems in order to obtain an unambiguous picture of the two-particle correlations. As recently pointed out by Anderson, in d≤2 dimensions the particles may be correlated even when situated on the Fermi surface. The “partial exclusion principle” for two particles with opposite spin on the same Fermi point is discussed, and related to results from the T-matrix approximation. Particles on different Fermi points are shown to be uncorrelated in d>1. Usi

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9

Morvan, A., T. I. Andersen, X. Mi, et al. "Formation of robust bound states of interacting microwave photons." Nature 612, no. 7939 (2022): 240–45. http://dx.doi.org/10.1038/s41586-022-05348-y.

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AbstractSystems of correlated particles appear in many fields of modern science and represent some of the most intractable computational problems in nature. The computational challenge in these systems arises when interactions become comparable to other energy scales, which makes the state of each particle depend on all other particles1. The lack of general solutions for the three-body problem and acceptable theory for strongly correlated electrons shows that our understanding of correlated systems fades when the particle number or the interaction strength increases. One of the hallmarks of in

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10

SKOROHOD, A. V. "Infinite systems of randomly interacting particles." Random Operators and Stochastic Equations 1, no. 1 (1993): 1–14. http://dx.doi.org/10.1515/rose.1993.1.1.1.

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11

Karwowski, Jacek, and Kamil Szewc. "Quasi-Exactly Solvable Models in Quantum Chemistry." Collection of Czechoslovak Chemical Communications 73, no. 10 (2008): 1372–90. http://dx.doi.org/10.1135/cccc20081372.

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A separable model of N interacting particles, in which disjoint pairs of particles interact by arbitrary two-particle potentials while the remaining interactions obey the Hooke law, is discussed from a perspective of its applications in quantum chemistry. In particular, properties of three- and four-particle Hookean systems modeling He-like atoms, H2+ and H2 molecules and many exotic systems are analyzed. The energy spectra and the structure of the wavefunctions of quasi-exactly solvable Schrödinger equations which result from this analysis are investigated in some detail.

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12

LEV, B. I. "CELLULAR STRUCTURE IN CONDENSED MATTER." Modern Physics Letters B 27, no. 28 (2013): 1330020. http://dx.doi.org/10.1142/s0217984913300202.

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In this paper, general description of a cellular structure formation in a system of interacting particles has been proposed. Analytical results are presented for such structures in colloids, systems of particles immersed into a liquid crystal and gravitational systems. It is shown that physical nature of formation of cellular structures in all systems of interacting particles is identical. In all cases, a characteristic of the cellular structure, depending on strength of the interaction, concentration of particles and temperature, can be obtained.

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13

KONDRATIEV, YURI, EUGENE LYTVYNOV, and MICHAEL RÖCKNER. "EQUILIBRIUM KAWASAKI DYNAMICS OF CONTINUOUS PARTICLE SYSTEMS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 10, no. 02 (2007): 185–209. http://dx.doi.org/10.1142/s0219025707002695.

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We construct a new equilibrium dynamics of infinite particle systems in a Riemannian manifold X. This dynamics is an analog of the Kawasaki dynamics of lattice spin systems. The Kawasaki dynamics now is a process where interacting particles randomly hop over X. We establish conditions on the a priori explicitly given symmetrizing measure and the generator of this dynamics, under which a corresponding conservative Markov processes exists. We also outline two types of scaling limit of the equilibrium Kawasaki dynamics: one leading to an equilibrium Glauber dynamics in continuum (a birth-and-deat

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14

Stefanovich, Eugene V. "Moving Unstable Particles and Special Relativity." Advances in High Energy Physics 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/4657079.

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In Poincaré-Wigner-Dirac theory of relativistic interactions, boosts are dynamical. This means that, just like time translations, boost transformations have a nontrivial effect on internal variables of interacting systems. In this respect, boosts are different from space translations and rotations, whose actions are always universal, trivial, and interaction-independent. Applying this theory to unstable particles viewed from a moving reference frame, we prove that the decay probability cannot be invariant with respect to boosts. Different moving observers may see different internal composition

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15

Keim, Nathan C., and Joseph D. Paulsen. "Multiperiodic orbits from interacting soft spots in cyclically sheared amorphous solids." Science Advances 7, no. 33 (2021): eabg7685. http://dx.doi.org/10.1126/sciadv.abg7685.

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When an amorphous solid is deformed cyclically, it may reach a steady state in which the paths of constituent particles trace out closed loops that repeat in each driving cycle. A remarkable variant has been noticed in simulations where the period of particle motions is a multiple of the period of driving, but the reasons for this behavior have remained unclear. Motivated by mesoscopic features of displacement fields in experiments on jammed solids, we propose and analyze a simple model of interacting soft spots—locations where particles rearrange under stress and that resemble two-level syste

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16

Persson, B. N. J., and J. Biele. "Heat transfer in granular media with weakly interacting particles." AIP Advances 12, no. 10 (2022): 105307. http://dx.doi.org/10.1063/5.0108811.

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We study the heat transfer in weakly interacting particle systems in vacuum. The particles have surface roughness with self-affine fractal properties, as expected for mineral particles produced by fracture, e.g., by crunching brittle materials in a mortar, or from thermal fatigue or the impact of micrometeorites on asteroids. We show that the propagating electromagnetic (EM) waves give the dominant heat transfer for large particles, while for small particles both the evanescent EM-waves and the phononic contribution from the area of real contact are important. As an application, we discuss the

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17

Feliachi, Ouassim, Marc Besse, Cesare Nardini, and Julien Barré. "Fluctuating kinetic theory and fluctuating hydrodynamics of aligning active particles: the dilute limit." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 11 (2022): 113207. http://dx.doi.org/10.1088/1742-5468/ac9fc6.

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Abstract Kinetic and hydrodynamic theories are widely employed for describing the collective behavior of active matter systems. At the fluctuating level, these have been obtained from explicit coarse-graining procedures in the limit where each particle interacts weakly with many others, so that the total forces and torques exerted on each of them is of order unity at all times. Such limit is however not relevant for dilute systems that mostly interact via alignment; there, collisions are rare and make the self-propulsion direction to change abruptly. We derive a fluctuating kinetic theory, and

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18

Fogarty, Thomás, Miguel Ángel García-March, Lea F. Santos, and Nathan L. Harshman. "Probing the edge between integrability and quantum chaos in interacting few-atom systems." Quantum 5 (June 29, 2021): 486. http://dx.doi.org/10.22331/q-2021-06-29-486.

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Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary b

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19

Çamkıran, John, Fabian Parsch, and Glenn D. Hibbard. "A local orientational order parameter for systems of interacting particles." Journal of Chemical Physics 156, no. 9 (2022): 091101. http://dx.doi.org/10.1063/5.0079985.

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Many physical systems are well modeled as collections of interacting particles. Nevertheless, a general approach to quantifying the absolute degree of order immediately surrounding a particle has yet to be described. Motivated thus, we introduce a quantity E that captures the amount of pairwise informational redundancy among the bonds formed by a particle. Particles with larger E have less diversity in bond angles and thus simpler neighborhoods. We show that E possesses a number of intuitive mathematical properties, such as increasing monotonicity in the coordination number of Platonic polyhed

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20

ALBEVERIO, SERGIO, HANNO GOTTSCHALK, and MINORU W. YOSHIDA. "SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY." Reviews in Mathematical Physics 17, no. 02 (2005): 175–226. http://dx.doi.org/10.1142/s0129055x05002327.

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Euclidean quantum fields obtained as solutions of stochastic partial pseudo differential equations driven by a Poisson white noise have paths given by locally integrable functions. This makes it possible to define a class of ultra-violet finite local interactions for these models (in any space-time dimension). The corresponding interacting Euclidean quantum fields can be identified with systems of classical "charged" particles in the grand canonical ensemble with an interaction given by a nonlinear energy density of the "static field" generated by the particles' charges via a "generalized Pois

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21

Alon, Ofir E. "Solvable Model of a Generic Driven Mixture of Trapped Bose–Einstein Condensates and Properties of a Many-Boson Floquet State at the Limit of an Infinite Number of Particles." Entropy 22, no. 12 (2020): 1342. http://dx.doi.org/10.3390/e22121342.

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A solvable model of a periodically driven trapped mixture of Bose–Einstein condensates, consisting of N1 interacting bosons of mass m1 driven by a force of amplitude fL,1 and N2 interacting bosons of mass m2 driven by a force of amplitude fL,2, is presented. The model generalizes the harmonic-interaction model for mixtures to the time-dependent domain. The resulting many-particle ground Floquet wavefunction and quasienergy, as well as the time-dependent densities and reduced density matrices, are prescribed explicitly and analyzed at the many-body and mean-field levels of theory for finite sys

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22

Li, Zhongyang, Fei Lu, Mauro Maggioni, Sui Tang, and Cheng Zhang. "On the identifiability of interaction functions in systems of interacting particles." Stochastic Processes and their Applications 132 (February 2021): 135–63. http://dx.doi.org/10.1016/j.spa.2020.10.005.

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23

Tovbin, Yu K. "Kinetic Equations of Physicochemical Processes with Allowance for Multi-Particle Effects in the Lattice Gas Model." Russian Journal of Physical Chemistry A 96, no. 2 (2022): 278–92. http://dx.doi.org/10.1134/s0036024422020273.

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Abstract A way of deriving kinetic equations of physicochemical processes in dense phases is developed on the basis of the discrete–continuous description of the spatial distribution of components in the lattice gas model (LGM), with allowance for multi-particle effects. The emergence of multi-particle effects is associated with the simultaneous influence of all neighbors on the rate of the elementary stage with the participation of a given particle. They include multi-particle potentials of interaction, including quantum–chemical energy calculations, the effect the configurations of neighbori

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24

Al-Nimr, M. A., and V. S. Arpaci. "Radiative Properties of Interacting Particles." Journal of Heat Transfer 114, no. 4 (1992): 950–57. http://dx.doi.org/10.1115/1.2911906.

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Two statistical models for the radial distribution function are proposed. In terms of these models, analytical expressions for the radiation efficiency factors of random homogeneous systems are derived. The Planck and Rosseland mean absorption coefficients are evaluated and the ratio of dependent over independent mean absorption coefficients is given. The role of the far-field and the near-field effects on radiation is investigated. The near-field effect on the scattered radiation is found to be negligible compared to the far-field effect. The effect of particle interaction is demonstrated by

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25

Wagner, Caleb G., Michael F. Hagan, and Aparna Baskaran. "Steady states of active Brownian particles interacting with boundaries." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 1 (2022): 013208. http://dx.doi.org/10.1088/1742-5468/ac42cf.

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Abstract An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach nontrivial nonequilibrium steady states with intriguing phenomenology, such as accumulation at boundaries, ratchet effects, and long-range depletion interactions. Nevertheless, theoretical analysis of these phenomena has proven difficult. Here, we address this theoretical challenge in the context of non-interacting particles in two dimensions, basing our an

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26

Hubal, Halyna M. "The generalized kinetic equation for symmetric particle systems." MATHEMATICA SCANDINAVICA 110, no. 1 (2012): 140. http://dx.doi.org/10.7146/math.scand.a-15201.

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The generalized kinetic equation is obtained for symmetric system of many particles interacting via a pair potential. A representation of a solution of the Cauchy problem for the BBGKY hierarchy is used in the form of an expansion over particle groups whose evolution is governed by the cumulants (semi-invariants).

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27

Rallison, J. M. "Brownian diffusion in concentrated suspensions of interacting particles." Journal of Fluid Mechanics 186 (January 1988): 471–500. http://dx.doi.org/10.1017/s0022112088000230.

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In this paper we set out to calculate the self-diffusivity of a Brownian particle in a concentrated suspension. The problem is treated by regarding the neighbours of a test particle as forming a ‘cage’. For short time t < tc, say, the particle is partially constrained by the cage and an equation is proposed to describe the coupled dynamics of particle and cage. The equation is shown to be asymptotically exact in some cases and acceptably accurate for other simple systems by comparing with Monte Carlo simulations. For times t > tc, the particle diffuses sufficiently far to escape its orig

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28

Berlyand, Leonid, Robert Creese, Pierre-Emmanuel Jabin, and Mykhailo Potomkin. "Continuum Approximations to Systems of Correlated Interacting Particles." Journal of Statistical Physics 174, no. 4 (2018): 808–29. http://dx.doi.org/10.1007/s10955-018-2205-8.

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29

MAZROUI, M'HAMMED, and YAHIA BOUGHALEB. "SURFACE DIFFUSION IN SYSTEMS OF INTERACTING BROWNIAN PARTICLES." International Journal of Modern Physics B 15, no. 16 (2001): 2193–247. http://dx.doi.org/10.1142/s0217979201001649.

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The paper reviews recent results on diffusive phenomena in two-dimensional periodic potential. Specifically, static and dynamic properties are investigated by calculating different correlation functions. Diffusion process is first studied for one-dimensional system by using the Fokker–Planck equation which is solved numerically by the matrix continued fraction method in the case of bistable potential. The transition from hopping to liquid-like diffusion induced by variation of some parameters is discussed. This study will therefore serve to demonstrate the influence of this form of potential.

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30

Song, T., and R. M. Roshko. "Preisach model for systems of interacting superparamagnetic particles." IEEE Transactions on Magnetics 36, no. 1 (2000): 223–30. http://dx.doi.org/10.1109/20.822533.

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31

Blank, M. L. "Self-consistent mappings and systems of interacting particles." Doklady Mathematics 83, no. 1 (2011): 49–52. http://dx.doi.org/10.1134/s1064562411010133.

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32

Ohtsuki, T., and T. Keyes. "Anomalous dynamics of interacting particles in random systems." Journal of Physics A: Mathematical and General 18, no. 3 (1985): L171—L174. http://dx.doi.org/10.1088/0305-4470/18/3/013.

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33

Euán-Díaz, Edith C., Salvador Herrera-Velarde, Vyacheslav R. Misko, François M. Peeters, and Ramón Castañeda-Priego. "Single-File Diffusion of Driven Interacting Colloids." Biophysical Reviews and Letters 09, no. 04 (2014): 413–34. http://dx.doi.org/10.1142/s1793048014400086.

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Анотація:

The dynamical properties of interacting colloids spatially restricted to move in one-dimensional channels [J. Chem. Phys. 133, 114902 (2010)] and subjected to external periodic energy landscapes [Phys. Rev. E 86, 081123 (2012)] have been recently reported in terms of the long-time self-diffusion behavior. However, the full description of the mean-square displacement, ranging from short times to long times, is still missing. Thus, by means of Brownian dynamics computer simulations, we revisit the process known as single-file diffusion in driven interacting colloidal systems at all time scales.

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34

Melnikov, G. А., N. М. Ignatenko, V. V. Suchilkin, and А. S. Gromkov. "Formation of Cluster Systems in Chaotic Condensed Media." Proceedings of the Southwest State University. Series: Engineering and Technology 13, no. 2 (2023): 164–76. http://dx.doi.org/10.21869/2223-1528-2023-13-2-164-176.

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Purpose. The study of cluster formation in a system of chaotically moving and interacting particles taking into account the Efimov effect and the "golden" section.Methods. Methods of mathematical modeling, quantum mechanics, a model of solid spheres, and a cluster model were used.Results. Within the framework of the proposed work, it is noted that in a three-particle system of particles, it is possible to form their spatial configuration in the form of a "golden" triangle, and in the case of an excited state of two particles, the third particle is far enough away from the other two, it is this

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35

Grotto, Francesco, Eliseo Luongo, and Mario Maurelli. "Uniform approximation of 2D Navier-Stokes equations with vorticity creation by stochastic interacting particle systems." Nonlinearity 36, no. 12 (2023): 7149–90. http://dx.doi.org/10.1088/1361-6544/ad0aab.

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Abstract We consider a stochastic interacting particle system in a bounded domain with reflecting boundary, including creation of new particles on the boundary prescribed by a given source term. We show that such particle system approximates 2D Navier–Stokes equations in vorticity form and impermeable boundary, the creation of particles modeling vorticity creation at the boundary. Kernel smoothing, more specifically smoothing by means of the Neumann heat semigroup on the space domain, allows to establish uniform convergence of regularized empirical measures to (weak solutions of) Navier–Stokes

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36

Rieser, Jakob, Mario A. Ciampini, Henning Rudolph, et al. "Tunable light-induced dipole-dipole interaction between optically levitated nanoparticles." Science 377, no. 6609 (2022): 987–90. http://dx.doi.org/10.1126/science.abp9941.

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Arrays of optically trapped nanoparticles have emerged as a platform for the study of complex nonequilibrium phenomena. Analogous to atomic many-body systems, one of the crucial ingredients is the ability to precisely control the interactions between particles. However, the optical interactions studied thus far only provide conservative optical binding forces of limited tunability. In this work, we exploit the phase coherence between the optical fields that drive the light-induced dipole-dipole interaction to couple two nanoparticles. In addition, we effectively switch off the optical interact

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37

Wang, Yu-Qing, and Zi-Huan Zhang. "Cluster mean-field dynamics in one-dimensional TASEP with inner interactions and Langmuir dynamics." Modern Physics Letters B 33, no. 02 (2019): 1950012. http://dx.doi.org/10.1142/s021798491950012x.

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In the area of statistical physics, totally asymmetric simple exclusion process (TASEP) is treated as one of the most important driven-diffusive systems. It contains profound non-equilibrium statistical physics mechanisms due to being the paradigm model like Ising model. Different with previous work, a one-dimensional TASEP coupled with inner interactions and Langmuir dynamics is taken into account. Weak coupled binding and unbinding rates are introduced in the proposed model. Bond breaking and making mechanisms of self-driven particles illustrating the unidirectional movement of protein motor

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38

Yukalov, V. I. "Particle fluctuations in systems with Bose–Einstein condensate." Laser Physics 34, no. 11 (2024): 113001. http://dx.doi.org/10.1088/1555-6611/ad8221.

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Анотація:

Abstract Particle fluctuations in systems, exhibiting Bose–Einstein condensation, are reviewed in order to clarify the basic points that attract high interest and often confront misunderstanding. It is explained that the so-called ‘grand canonical catastrophe’, claiming the occurrence of catastrophic particle fluctuations in the condensed phase, treated by grand canonical ensemble, does not exist. What exists is the incorrect use of the grand canonical ensemble, where gauge symmetry is not broken, while the correct description of the condensed phase necessarily requires gauge symmetry breaking

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39

CURILEF, SERGIO. "NONEXTENSIVE MICROSCOPIC BEHAVIOR OF LONG-RANGE INTERACTING PARTICLES IN PERIODIC MEDIA." International Journal of Modern Physics C 11, no. 03 (2000): 629–34. http://dx.doi.org/10.1142/s0129183100000547.

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This work presents a possible way to study the long-range interacting particles in finite-infinite (mesoscopic-macroscopic) systems with periodic boundary conditions. A symmetric lattice and their contributions over all space are used in the problem. In the present model, we assume that at long distances, the two-body attractive potential decays as a 1/rα law. We verified that the potential in any particle converges (diverges) when the interactions are short(long)-ranged. On the other hand, forces in any particle converge rapidly in all cases. However, we adopt a nonextensive scaling and we gu

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40

van Meurs, Patrick. "The continuum limit of interacting dislocations on multiple slip systems." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 102. http://dx.doi.org/10.1051/cocv/2020038.

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In this paper we derive the continuum limit of a multiple-species, interacting particle system by proving a Γ-convergence result on the interaction energy as the number of particles tends to infinity. As the leading application, we consider n edge dislocations in multiple slip systems. Since the interaction potential of dislocations has a logarithmic singularity at zero with a sign that depends on the orientation of the slip systems, the interaction energy is unbounded from below. To make the minimization problem of this energy meaningful, we follow the common approach to regularise the intera

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41

CALSAMIGLIA, J., L. HARTMANN, W. DÜR, and H. J. BRIEGEL. "ENTANGLEMENT AND DECOHERENCE IN SPIN GASES." International Journal of Quantum Information 05, no. 04 (2007): 509–23. http://dx.doi.org/10.1142/s0219749907003018.

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We study the dynamics of entanglement in spin gases. A spin gas consists of a (large) number of interacting particles whose random motion is described classically while their internal degrees of freedom are described quantum-mechanically. We determine the entanglement that occurs naturally in such systems for specific types of quantum interactions. At the same time, these systems provide microscopic models for non–Markovian decoherence: the interaction of a group of particles with other particles belonging to a background gas are treated exactly, and differences between collective and non–coll

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42

Arango-Restrepo, Andrés, Juan David Torrenegra-Rico, and J. Miguel Rubi. "Entropy Production in a System of Janus Particles." Entropy 27, no. 2 (2025): 112. https://doi.org/10.3390/e27020112.

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Entropy production is a key descriptor of out-of-equilibrium behavior in active matter systems, providing insights into both single-particle dynamics and emergent collective phenomena. It helps determine transport coefficients and phoretic velocities and serves as a crucial tool for understanding collective phenomena such as structural transitions, regime shifts, clustering, and self-organization. This study investigates the role of entropy production for individual active (catalytic Janus) particles and in systems of active particles interacting with one another and their environment. We empl

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43

Bertacchi, Daniela, Fábio Prates Machado, and Fabio Zucca. "Local and Global Survival for Nonhomogeneous Random Walk Systems on Z." Advances in Applied Probability 46, no. 1 (2014): 256–78. http://dx.doi.org/10.1239/aap/1396360113.

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We study an interacting random walk system on ℤ where at time 0 there is an active particle at 0 and one inactive particle on each site n ≥ 1. Particles become active when hit by another active particle. Once activated, the particle starting at n performs an asymmetric, translation invariant, nearest neighbor random walk with left-jump probability ln. We give conditions for global survival, local survival, and infinite activation both in the case where all particles are immortal and in the case where particles have geometrically distributed lifespan (with parameter depending on the starting lo

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44

Bertacchi, Daniela, Fábio Prates Machado, and Fabio Zucca. "Local and Global Survival for Nonhomogeneous Random Walk Systems on Z." Advances in Applied Probability 46, no. 01 (2014): 256–78. http://dx.doi.org/10.1017/s0001867800007035.

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Анотація:

We study an interacting random walk system on ℤ where at time 0 there is an active particle at 0 and one inactive particle on each site n ≥ 1. Particles become active when hit by another active particle. Once activated, the particle starting at n performs an asymmetric, translation invariant, nearest neighbor random walk with left-jump probability l n . We give conditions for global survival, local survival, and infinite activation both in the case where all particles are immortal and in the case where particles have geometrically distributed lifespan (with parameter depending on the starting

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45

Inozemtsev, V. I. "Integrable Model of Interacting Fermions Confined by the Morse Potential." International Journal of Modern Physics A 12, no. 01 (1997): 195–200. http://dx.doi.org/10.1142/s0217751x9700027x.

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The integrals of motion are constructed for the Sutherland hyperbolic quantum systems of particles with internal degrees of freedom (su(n) spins) interacting with an external field with the Morse potential of an arbitrary strength τ2. These systems are confined if some constraint is imposed on τ, the strength λ of the pairwise interaction and the number of particles. The ground state is described by the wave function of the Jastrow form.

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46

Delgado, Rosario, F. Javier López, and Gerardo Sanz. "Local conditions for the stochastic comparison of particle systems." Advances in Applied Probability 36, no. 4 (2004): 1252–77. http://dx.doi.org/10.1239/aap/1103662966.

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Анотація:

We study the stochastic comparison of interacting particle systems where the state space of each particle is a finite set endowed with a partial order, and several particles may change their value at a time. For these processes we give local conditions, on the rates of change, that assure their comparability. We also analyze the case where one of the processes does not have any changes that involve several particles, and obtain necessary and sufficient conditions for their comparability. The proofs are based on the explicit construction of an order-preserving Markovian coupling. We show the ap

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47

Delgado, Rosario, F. Javier López, and Gerardo Sanz. "Local conditions for the stochastic comparison of particle systems." Advances in Applied Probability 36, no. 04 (2004): 1252–77. http://dx.doi.org/10.1017/s0001867800013392.

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Анотація:

We study the stochastic comparison of interacting particle systems where the state space of each particle is a finite set endowed with a partial order, and several particles may change their value at a time. For these processes we give local conditions, on the rates of change, that assure their comparability. We also analyze the case where one of the processes does not have any changes that involve several particles, and obtain necessary and sufficient conditions for their comparability. The proofs are based on the explicit construction of an order-preserving Markovian coupling. We show the ap

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48

OITMAA, J. "RECENT DEVELOPMENTS IN STRONGLY INTERACTING LATTICE SYSTEMS." International Journal of Modern Physics B 13, no. 05n06 (1999): 697–708. http://dx.doi.org/10.1142/s021797929900059x.

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I give an overview of areas of recent and current research in the theoretical study of strongly interacting lattice systems, in the areas of lattice spin models (magnetism), lattice electron models (superconductivity) and lattice gauge models (elementary particles). The emphasis is on novel and interesting physics, and recent results.

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49

Carinci, Gioia, Cristian Giardinà, and Frank Redig. "Exact formulas for two interacting particles and applications in particle systems with duality." Annals of Applied Probability 30, no. 4 (2020): 1934–70. http://dx.doi.org/10.1214/19-aap1548.

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LIU, YU-LIANG. "APPLICATION OF EIGENFUNCTIONAL THEORY ON QUANTUM MANY-PARTICLE SYSTEMS." International Journal of Modern Physics B 16, no. 27 (2002): 4127–63. http://dx.doi.org/10.1142/s0217979202014693.

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We first introduce the basic ingredients of the eigenfunctional theory, and show that a D-dimensional quantum many-particle system is mapped into a (D+1)-dimensional time-depending single-particle problem, and in the representation of the eigenfunctionals of the particle propagator, the particles become free. Then using this method, we study five kinds of quantum many-particle systems: interacting boson system, repulsive, attractive interacting fermion systems, Hubbard model and single-impurity scattering in one-dimensional fermion system, and demonstrate that the microscopic Bogoliubov theory

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