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Articles de revues sur le sujet « Lattice agreement »

Auteur : Grafiati
Publié le 15 mars 2025
Mis à jour le 31 juillet 2025

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1

Attiya, Hagit, Maurice Herlihy, and Ophir Rachman. "Atomic snapshots using lattice agreement." Distributed Computing 8, no. 3 (1995): 121–32. http://dx.doi.org/10.1007/bf02242714.

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2

Lycett-Brown, Daniel, Ilya Karlin, and Kai H. Luo. "Droplet Collision Simulation by a Multi-Speed Lattice Boltzmann Method." Communications in Computational Physics 9, no. 5 (2011): 1219–34. http://dx.doi.org/10.4208/cicp.311009.091110s.

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AbstractRealization of the Shan-Chen multiphase flow lattice Boltzmann model is considered in the framework of the higher-order Galilean invariant lattices. The present multiphase lattice Boltzmann model is used in two-dimensional simulation of droplet collisions at high Weber numbers. Results are found to be in a good agreement with experimental findings.
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3

Li, Ning, and Ya-Jie Wu. "Mass spectra of Ds meson from Nf = 2 twisted mass lattice QCD." Modern Physics Letters A 30, no. 11 (2015): 1550060. http://dx.doi.org/10.1142/s0217732315500601.

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In this paper, we study the mass spectra of Ds mesons, such as Ds, [Formula: see text] and Ds1. In the simulation, we use Nf = 2 twisted mass lattice QCD gauge configurations generated by the European Twisted Mass Collaboration (ETMC). The simulation is performed on lattices with lattice spacings a = 0.067 fm and lattice size 323×64, and a = 0.085 fm and lattice size 243×48, respectively. Our numerical results for the mass spectra of Ds mesons reached impressive agreement with the experimental data.
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4

AKTEKIN, N., Ş. ERKOÇ, and M. KALAY. "THE TEST OF THE FINITE-SIZE SCALING RELATIONS FOR THE FIVE-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON." International Journal of Modern Physics C 10, no. 07 (1999): 1237–45. http://dx.doi.org/10.1142/s0129183199001005.

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The five-dimensional Ising model is simulated on the Creutz cellular automaton using the finite-size lattices with the linear dimension 4≤L≤16. The exponents in the finite-size scaling relations for the magnetic susceptibility and the order parameter at the infinite-lattice critical temperature are computed to be 2.52(7) and 1.25(11) using 6≤L≤12, respectively, which are in very good agreement with the Monte Carlo results and with the theoretical predictions of 5/2 and 5/4. The critical temperature for the infinite lattice is found to be 8.779(8) using 8≤L≤16 which is also in very good agreeme
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Kia, Behnam, Sarvenaz Kia, John F. Lindner, Sudeshna Sinha, and William L. Ditto. "Coupling Reduces Noise: Applying Dynamical Coupling to Reduce Local White Additive Noise." International Journal of Bifurcation and Chaos 25, no. 03 (2015): 1550040. http://dx.doi.org/10.1142/s0218127415500406.

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We demonstrate how coupling nonlinear dynamical systems can reduce the effects of noise. For simplicity we investigate noisy coupled map lattices and assume noise is white and additive. Noise from different lattice nodes can diffuse across the lattice and lower the noise level of individual nodes. We develop a theoretical model that explains this observed noise evolution and show how the coupled dynamics can naturally function as an averaging filter. Our numerical simulations are in excellent agreement with the model predictions.
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MA, J. P. "A STUDY OF GLUON PROPAGATOR ON COARSE LATTICE." Modern Physics Letters A 15, no. 04 (2000): 229–44. http://dx.doi.org/10.1142/s0217732300000220.

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We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume from (2.40 fm )4 to (4.0 fm )4. We find that the rotation invariance is approximately restored in the q2-range, indicated by the fact that the propagator is a smooth function of the continuum momentum q2. We try to fit our results by two different ways, in the first one we interpret the calculated gluon propagators as a function of the continuum momentum, whi
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7

KALAY, M., and Z. MERDAN. "THE FINITE-SIZE SCALING STUDY OF THE SPECIFIC HEAT AND THE BINDER PARAMETER FOR THE FIVE-DIMENSIONAL ISING MODEL." Modern Physics Letters B 21, no. 28 (2007): 1923–31. http://dx.doi.org/10.1142/s0217984907014279.

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The five-dimensional Ising model with nearest-neighbor pair interactions is simulated on the Creutz cellular automaton by using finite-size lattices with the linear dimensions L=4, 6, 8, 10, 12, 14, and 16. The temperature variations and the finite-size scaling plots of the specific heat and Binder parameter verify the theoretically-predicted expression near the infinite-lattice critical temperature. The approximate values for the critical temperature of the infinite-lattice, T c =8.8063, T c =8.7825 and T c =8.7572, are obtained from the intersection points of specific heat curves, Binder par
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8

Mataev, Muhkametkali, Moldir Abdraimova, and A. Atabay. "Synthesis and X-ray analysis of complex ferrite YbBiNaFe2O6,5." Chemical Bulletin of Kazakh National University, no. 2 (June 30, 2017): 14–17. http://dx.doi.org/10.15328/cb805.

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The complex oxide phase of the composition YbBiNaFe2O6,5 was synthesized by the high-temperature solid-phase reaction. X-ray diffraction analysis was used to study the structure for the first time; the type of syngony, unit cell parameters, X-ray diffraction and pycnometric densities were determined. X-ray diffraction was carried out by homology method from the initial fluorite structure δBi2O3. The method of least squares refined the parameters of the crystal lattice. The parameters of the orthorhombic lattice of complex mixed ferrite at the value of the number of formula units Z=4 are: a=5.2
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9

Merdan, Ziya, Mehmet Bayirli, and Mustafa Kemal Ozturk. "The Finite-Size Scaling Study of the Specific Heat and the Binder Parameter of the Two-Dimensional Ising Model for the Fractals Obtained by Using the Model of Diffusion-Limited Aggregation." Zeitschrift für Naturforschung A 64, no. 12 (2009): 849–54. http://dx.doi.org/10.1515/zna-2009-1212.

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The two-dimensional Ising model with nearest-neighbour pair interactions is simulated on the Creutz cellular automaton by using the finite-size lattices with the linear dimensions L = 80, 120, 160, and 200. The temperature variations and the finite-size scaling plots of the specific heat and the Binder parameter verify the theoretically predicted expression near the infinite lattice critical temperature. The approximate values for the critical temperature of the infinite lattice Tc = 2.287(6), Tc = 2.269(3), and Tc =2.271(1) are obtained from the intersection points of specific heat curves, Bi
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10

Attiya, Hagit, and Arie Fouren. "Adaptive and Efficient Algorithms for Lattice Agreement and Renaming." SIAM Journal on Computing 31, no. 2 (2001): 642–64. http://dx.doi.org/10.1137/s0097539700366000.

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11

Johnson, R. W., and M. Teper. "An extended Isgur-Paton model: Agreement with the lattice?" Nuclear Physics B - Proceedings Supplements 63, no. 1-3 (1998): 197–99. http://dx.doi.org/10.1016/s0920-5632(97)00720-2.

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12

Kaya, Tuncer. "A new approach to real space renormalization group treatment of Ising model for square and simple cubic lattice." International Journal of Modern Physics B 32, no. 23 (2018): 1850252. http://dx.doi.org/10.1142/s0217979218502521.

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Real Space Renormalization Group (RSRG) treatment of Ising model for square and simple cubic lattice is investigated and critical coupling strengths of these lattices are obtained. The mathematical complications, which appear inevitable in the decimated partition function due to Block-spin transformation, is treated with a relevant approximation. The approximation is based on the approximate equivalence of [Formula: see text] for small [Formula: see text], where K is the nearest neighbor coupling strength and [Formula: see text] is the nearest neighbor spins degrees of freedom around a central
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13

Fiedler, Thomas, Andreas Öchsner, Nilindu Muthubandara, Irina V. Belova, and Graeme E. Murch. "Calculation of the Effective Thermal Conductivity in Composites Using Finite Element and Monte Carlo Methods." Materials Science Forum 553 (August 2007): 51–56. http://dx.doi.org/10.4028/www.scientific.net/msf.553.51.

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In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick’s First Law is also presented. Excellent agreement is found between these quite different methods. It is also shown that the results are in excellent agreement with the century-old Maxwell Equation.
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14

Parfenov, P. G. "On the Turns of Digital Images." Modeling and Analysis of Information Systems 20, no. 2 (2015): 157–65. http://dx.doi.org/10.18255/1818-1015-2013-2-157-165.

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The images built on the basis of rectangular and hexagonal lattices are discussed in the article. For images on a rectangular lattice a formula is proposed, which gives approximate values of the components of a characteristic set of coefficients when turning at an arbitrary angle by the method of the nearest neighbor. The characteristic sets are presented in the form of diagrams, an experimental evaluation of errors is made. It was confirmed a good agreement with the predicted value component of characteristic sets and those which were obtained experimentally. For images built on the basis of
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15

BASTONE, E. C., and P. R. SILVA. "AN EFFECTIVE FIELD MODEL TO HIGH TEMPERATURE SUPERCONDUCTORS: FITTING OF THE ENERGY GAP TO THE EXPERIMENTAL RESULTS OF THE Bi2Sr2CaCu2O8." Modern Physics Letters B 14, no. 11 (2000): 385–92. http://dx.doi.org/10.1142/s0217984900000525.

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We use an effective field model (transverse Ising model) to describe the dependence on the temperature of the energy gap of some two-dimensional (2D) superconducting systems. The order parameter of this model is put in a direct correspondence with that of the Ising model. Then, we use the exact relations for the spontaneous magnetization of the Ising model in some 2D lattices as a means to fit the experimental results of Bi 2 Sr 2 CaCu 2 O 8 films obtained through reflectivity measurements by Brunel et al. [Phys. Rev. Lett.66, 1346 (1991)] and the argon-annealed Bi 2 Sr 2 CaCu 2 O 8 samples in
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16

CIACH, A., and G. STELL. "MESOSCOPIC FIELD THEORY OF IONIC SYSTEMS." International Journal of Modern Physics B 19, no. 21 (2005): 3309–43. http://dx.doi.org/10.1142/s0217979205032176.

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A mesoscopic field theory for the primitive model of ionic systems with additional, short-range interactions is presented. Generic models in continuum space and with positions of the ions restricted to lattice sites of various lattices are described in detail. We describe briefly the field-theoretic methods and review the foundations of the mesoscopic description. The types of phase diagrams predicted by our theory for different versions of the model are presented and discussed. They all agree with recent simulations. On the quantitative level our theory yields an RPM tricritical-point locatio
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17

Chen, Chengshang, Yuhan Fang, Chichen Jang, Wenchi Chen, Hui-Chi Lin, and Hsingchih Liang. "Systematically Investigating the Structural Variety of Crystalline and Kaleidoscopic Vortex Lattices by Using Laser Beam Arrays." Applied Sciences 11, no. 17 (2021): 8018. http://dx.doi.org/10.3390/app11178018.

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We theoretically demonstrate that a family of vortex-lattice structures can be flexibly generated using a multi-beam interference approach. Numerical calculation presents a variety of crystalline and kaleidoscopic patterns. Based on the numerical analysis, we experimentally realized these structure beams by combining an amplitude mask with multiple apertures and a spiral phase plate. The excellent agreement between the experimental and theoretical results not only validates the presented method, but also manifests the structure of vortex lattices.
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18

Lan, Mai Thị, Nguyen Van Hong, Nguyen Thu Nhan, and Hoang Van Hue. "Influence of Blocking Effect and Energetic Disorder on Diffusion in One-dimensional Lattice." Communications in Physics 24, no. 1 (2014): 85. http://dx.doi.org/10.15625/0868-3166/24/1/3454.

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The diffusion in one-dimensional disordered lattice with Gaussian distribution of site and transition energies has been studied by mean of kinetic Monte-Carlo simulation. We focus on investigating the influence of energetic disorders and diffusive particle density on diffusivity. In single-particle case, we used both analytical method and kinetic Monte-Carlo simulation to calculate the quantities that relate to diffusive behavior in disordered systems such as the mean time between two consecutive jumps, correlation factor and diffusion coefficient. The calculation shows a good agreement betwee
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19

Bang, Wonbae, M. T. Kaffash, M. T. Hossain, A. Hoffmann, J. B. Ketterson, and M. B. Jungfleisch. "Spin dynamics in permalloy nano-ellipses for honeycomb and square lattices." AIP Advances 12, no. 3 (2022): 035131. http://dx.doi.org/10.1063/9.0000307.

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We report experimental and theoretical studies of spin dynamics in lattice structures of permalloy (Ni80Fe20) nano-ellipses, with four different types of networks including honeycomb and square lattices. The lattices are patterned at the center line of the co-planar wave guide and consist of non-contacting or contacting ellipses. Micromagnetic simulations show excellent agreement with the broadband ferromagnetic resonance (FMR) experimental results. We find the existence of a spin-wave mode localized in the vertex region of the contacting nano-ellipse network. Our finding has important implica
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20

VERMA, M. P., S. K. MISHRA, and M. S. SODHA. "Effect of the inter-grain attractive potential on lattice dynamics in complex plasmas." Journal of Plasma Physics 79, no. 1 (2012): 55–64. http://dx.doi.org/10.1017/s0022377812000694.

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AbstractThe dispersion relation for lattice waves in a linear chain of charged particles in a complex plasma has been derived on the basis of a screened inter-grain repulsive potential and an attractive shadow potential 1/r. It is seen that the inclusion of the attractive potential makes a significant difference in the results; the present results are in good agreement with the experiment. The dispersion relations, corresponding to square and hexagonal planar lattices, with vibrations confined to the plane have also been derived.
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KUMAR, RAGHUVESH, GEETA SHARMA, and MUNISH KUMAR. "SIZE AND TEMPERATURE EFFECT ON THERMAL EXPANSION COEFFICIENT AND LATTICE PARAMETER OF NANOMATERIALS." Modern Physics Letters B 27, no. 25 (2013): 1350180. http://dx.doi.org/10.1142/s0217984913501807.

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A simple theoretical model is developed to study the effect of size and temperature on the coefficient of thermal expansion and lattice parameter of nanomaterials. We have studied the size dependence of thermal expansion coefficient of Pb , Ag and Zn in different shape viz. spherical, nanowire and nanofilm. A good agreement between theory and available experimental data confirmed the model predictions. We have used these results to study the temperature dependence of lattice parameter for different size and also included the results of bulk materials. The temperature dependence of lattice para
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22

AKTEKİN, N. "EFFECT OF THE NUMBER OF ENERGY LEVELS OF A DEMON ON THE SIMULATION OF THE ISING MODELS IN FIVE TO SEVEN DIMENSIONS ON THE CREUTZ CELLULAR AUTOMATON." International Journal of Modern Physics C 10, no. 04 (1999): 621–33. http://dx.doi.org/10.1142/s0129183199000462.

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The Ising models in five to seven dimensions are simulated on the Creutz cellular automaton with the three- to five-bit demons on finite-size lattices. The simulations result in overlapping curves for both the order parameter and the internal energy. However, the magnetic susceptibility and the specific heat curves converge to the limiting ones as the number of bits increases. By fitting the order parameter data within the temperature interval where the infinite lattice is approximated, to a power law with correction and by using the renormalization group prediction for its leading critical ex
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23

Tung, J. C., B. H. Chen, and C. K. Sung. "Characterizing the propagation evolution of optical vortex lattices in astigmatic transformations of frequency-doubled laser modes." Optics Express 32, no. 16 (2024): 27989. http://dx.doi.org/10.1364/oe.530834.

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We develop a wave representation to characterize the propagation evolution of vortex lattice beams, which are produced through a frequency-doubling process of various high-order laser modes, followed by mode conversion. Their phase fields and phase gradients are further analyzed to verify the topological charge for each isolated vortex, as well as the symmetry and net charges of the vortex lattices. In the experiment, we demonstrate the generation of frequency-doubled high-order modes by utilizing an off-center pumped solid-state laser combined with intracavity second-harmonic generation. Subs
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24

Haridass, C., R. Sundararajan, and N. Krishnamurthy. "Lattice dynamics of thallium iodide." Canadian Journal of Physics 66, no. 7 (1988): 630–32. http://dx.doi.org/10.1139/p88-104.

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The long-wavelength optical phonons in orthorhombic TlI are calculated employing a shell model and transferring the potential parameters from cubic TlI and TlBr. Satisfactory agreement between experimental Raman and infrared phonons suggests that the change in the crystal structure alone is the main reason for the redistribution of phonons in the cubic to orthorhombic transition.
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25

Zhang, Ling-Yun, Jia-Tih Lin, Bo-Zang Li, and Fu-Cho Pu. "Thermal Properties of High Temperature Superconductors: Soliton Statistics Approach." Modern Physics Letters B 11, no. 04 (1997): 149–54. http://dx.doi.org/10.1142/s0217984997000207.

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We develop a soliton statistics approach to discuss the lattice effect of high temperature superconductor in the Davydov model on the basis of the bisoliton idea. We prove that lattice displacement in the Davydov model satisfies ϕ4 field form. Critical temperature of high temperature superconductor is studied from statistics of lattice kink. We have shown that the lattice effect is pronounced for thermal properties of high temperature superconductors. Comparision between theoretical and experimental results are good agreement for LaSrCuO and YBaCuO superconductor materials.
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26

Sienkiewicz, Judyta, Paweł Płatek, Fengchun Jiang, Xiaojing Sun, and Alexis Rusinek. "Investigations on the Mechanical Response of Gradient Lattice Structures Manufactured via SLM." Metals 10, no. 2 (2020): 213. http://dx.doi.org/10.3390/met10020213.

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The main aim of the paper is to evaluate the mechanical behavior or lattice specimens subjected to quasi-static and dynamic compression tests. Both regular and three different variants of SS 316L lattice structures with gradually changed topologies (discrete, increase and decrease) have been successfully designed and additively manufactured with the use of the selective laser melting technique. The fabricated structures were subjected to geometrical quality control, microstructure analysis, phase characterization and compression tests under quasi-static and dynamic loading conditions. The mism
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27

Wang, Zuo, Jiazhong Zhang, Yan Liu, and Le Wang. "Regularized lattice Bhatnagar–Gross–Krook model for the thermal flow in porous media." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 3 (2017): 405–15. http://dx.doi.org/10.1177/0954406217719307.

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A regularized lattice Bhatnagar–Gross–Krook model for flow and heat transfer in porous media at the representative element volume scale is presented. In the model, the regularization process is extended to the existing Darcy–Forchheimer-based lattice Bhatnagar–Gross–Krook scheme. Numerical results show good agreement between the present model and the previous ones. Also, the present model shows better numerical stability than its lattice Bhatnagar–Gross–Krook counterpart.
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CHEN, YONG-CONG. "OPTIMIZING THE RVB STATE ON A TRIANGULAR LATTICE: PRESENCE OF THE LONG RANGE ORDER." Modern Physics Letters B 08, no. 20 (1994): 1253–60. http://dx.doi.org/10.1142/s0217984994001242.

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We present a Schwinger boson approach for the RVB state of the spin-1/2 Heisenberg antiferromagnet on a triangular lattice. It is shown that a Gutzwiller projection of the mean field state that includes both antiferromagnetic and ferromagnetic decouplings leads to optimizing the RVB pair amplitudes within a self-consistent approximation. The resulting state yields, by Monte Carlo simulations, energies and spin-spin correlations in excellent agreement with the exact diagonalization result on finite lattices (up to 36 sites). We conclude that the optimized RVB wave function possesses a long rang
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Sá Martins, J. S., and P. M. C. de Oliveira. "Lattice Simulation of Nuclear Multifragmentation." International Journal of Modern Physics C 09, no. 06 (1998): 867–74. http://dx.doi.org/10.1142/s0129183198000819.

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Motivated by the decade-long debate over the issue of criticality supposedly observed in nuclear multifragmentation, we propose a dynamic lattice model to simulate the phenomenon. Its Ising Hamiltonian mimics a short range attractive interaction which competes with a thermal-like dissipative process. The results here presented, generated through an event-by-event analysis, are in agreement with both experiment and those produced by a percolative (nondynamic) model.
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ANTROPOV, S., M. BORDAG, V. DEMCHIK, and V. SKALOZUB. "LONG RANGE CHROMOMAGNETIC FIELDS AT HIGH TEMPERATURE." International Journal of Modern Physics A 26, no. 27n28 (2011): 4831–43. http://dx.doi.org/10.1142/s0217751x11054747.

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The magnetic mass of neutral gluons in Abelian chromomagnetic field at high temperature is calculated in SU(2) gluodynamics. It is noted that such fields are spontaneously generated at high temperature. The mass is computed either from the Schwinger–Dyson equation accounting for the one-loop polarization tensor or in Monte Carlo simulations on a lattice. In latter case, an average magnetic flux penetrating a plaquette is measured for a number of lattices. Both calculations are in agreement with each other and result in zero magnetic mass. Some applications of the results obtained are discussed
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31

Zhang, Huixi Violet, Frank Polzer, Michael J. Haider, et al. "Computationally designed peptides for self-assembly of nanostructured lattices." Science Advances 2, no. 9 (2016): e1600307. http://dx.doi.org/10.1126/sciadv.1600307.

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Folded peptides present complex exterior surfaces specified by their amino acid sequences, and the control of these surfaces offers high-precision routes to self-assembling materials. The complexity of peptide structure and the subtlety of noncovalent interactions make the design of predetermined nanostructures difficult. Computational methods can facilitate this design and are used here to determine 29-residue peptides that form tetrahelical bundles that, in turn, serve as building blocks for lattice-forming materials. Four distinct assemblies were engineered. Peptide bundle exterior amino ac
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32

Ribeiro, A. N., and C. A. Macedo. "On the Validity of the Dynamical Mean-Field Approximation for Studying the Two-Dimensional Hubbard Model on a Square Lattice." Advances in Condensed Matter Physics 2010 (2010): 1–5. http://dx.doi.org/10.1155/2010/487381.

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The dynamical mean-field approximation (DMFA) becomes exact in the limit of infinite dimensions, and allows results to be obtained in a nonperturbative regime without the limitations normally found with exact diagonalization (ED) and quantum Monte Carlo (QMC) methods. In this paper, we investigate the applicability of the method to lattices with small coordination number in special situations. Specifically we use this approximation to study the two-dimensional (2D) Hubbard model on a square lattice far from half filling. In this situation, we calculate the specific heat and find that when the
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33

LEPAGE, P., and C. DAVIES. "HIGH PRECISION LATTICE QCD MEETS EXPERIMENT." International Journal of Modern Physics A 19, no. 06 (2004): 877–86. http://dx.doi.org/10.1142/s0217751x04018841.

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We review recent results in lattice QCD from numerical simulations that allow for a much more realistic QCD vacuum than has been possible before. Comparison with experiment for a variety of hadronic quantities gives agreement to within statistical and systematic errors of 3%. We discuss the implications of this for future calculations in lattice QCD, particularly those which will provide input for B-factory experiments.
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34

Molina, R., B. Hu, M. Doering, M. Mai та A. Alexandru. "Chiral Extrapolations of the ρ(770) Meson in Nf = 2 + 1 Lattice QCD Simulations". EPJ Web of Conferences 175 (2018): 05002. http://dx.doi.org/10.1051/epjconf/201817505002.

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Several lattice QCD simulations of meson-meson scattering in p-wave and Isospin = 1 in Nf = 2 + 1 flavours have been carried out recently. Unitarized Chiral Perturbation Theory is used to perform extrapolations to the physical point. In contrast to previous findings on the analyses of Nf = 2 lattice data, where most of the data seems to be in agreement, some discrepancies are detected in the Nf = 2 + 1 lattice data analyses, which could be due to different masses of the strange quark, meson decay constants, initial constraints in the simulation, or other lattice artifacts. In addition, the low
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35

DOLOCAN, ANDREI, and VOICU DOLOCAN. "QUANTUM MECHANICAL TREATMENT OF THE ELECTRICAL INTERACTION VIEWED AS AN ELASTIC COUPLING THROUGH FLUX LINES." International Journal of Modern Physics B 16, no. 32 (2002): 4809–30. http://dx.doi.org/10.1142/s021797920201498x.

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Using the Lagrangian formalism we attempt to calculate the interaction energy between the two bodies, nonconnected and connected, in a linear lattice. The obtained results show that the interaction is dependent on the dispersion relation ω (q). On this basis we calculate the binding energy of an ionic lattice and we have found a good agreement with experimental data.
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36

Asada, Hiromu. "Improvement of the Bethe–Peierls approximation to lattice gases." Canadian Journal of Physics 63, no. 9 (1985): 1258–63. http://dx.doi.org/10.1139/p85-206.

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The Bethe–Peierls approximation to lattice gases is improved by introducing new self-consistent parameters relating to positional correlation between atoms. The improved method is applied to the triangular lattice with first nearest neighbour attractive interactions. Calculated critical temperature and critical thermodynamic properties show better agreement with the exact ones than those in the normal Bethe–Peierls approximation.
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Juarez, Chia Zheng Jie, Seong Chun Koay, Ming Yeng Chan, Hui Leng Choo, Ming Meng Pang, and Thai Kiat Ong. "Finite Element Analysis Study on Lattice Structure Fabricated Recycled Polystyrene from Post-used Styrofoam Waste." MATEC Web of Conferences 335 (2021): 03007. http://dx.doi.org/10.1051/matecconf/202133503007.

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Lattice structure design widely applicable for 3D printed components. This research investigated the lattice structure with different shape and relative density using Finite Element Analysis (FEA) simulation. The material used for the lattice structure was the recycled polystyrene made from post-used Styrofoam. The research assessed the mechanical behaviour of lattice structure with either triangular prism and square prism with FEA simulation and numerical mathematical modelling, such as stiffness to-mass ratio, maximum von Misses stress and effective Young’s modulus. The finding FEA shows a g
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38

Kagemoto, H., M. J. Wolfgang, D. K. P. Yue, and M. S. Triantafyllou. "Force and Power Estimation in Fish-Like Locomotion Using a Vortex-Lattice Method." Journal of Fluids Engineering 122, no. 2 (1999): 239–53. http://dx.doi.org/10.1115/1.483251.

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The forces and power needed for propelling at constant speed an actively swimming flexible fish-like body are calculated. A vortex-lattice method based on a linearized theory is employed and the results are compared against slender body theory predictions, as well as experimental data from an eight-link robotic instrument, the RoboTuna. Qualitative agreement is found between our method and slender body theory; with quantitative agreement over certain parametric ranges and disagreement for other ranges of practical interest. The present linearized vortex lattice calculations predict the power n
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39

JIN KIM, HYO, and WOONG KIL CHOO. "THEORETICAL STUDY OF STRUCTURAL AND LATTICE DYNAMICAL PROPERTIES OF MgF2 USING A PAIR-POTENTIAL MODEL." International Journal of Modern Physics B 08, no. 11n12 (1994): 1543–61. http://dx.doi.org/10.1142/s021797929400066x.

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A two-body interatomic potential model for magnesium difluoride ( MgF 2) is constructed from the known crystal structure and elastic constants. The reliability of this potential model is critically evaluated through the calculation of structural and lattice dynamical properties of MgF 2 in sellaite phase with rutile structure. Energy minimization techniques have been used to predict the lattice parameters and structural properties of MgF 2 both at ambient and elevated pressure conditions. It was found that the calculated structural properties are in excellent agreement with the experimental re
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40

Kryzhanovsky, Boris, Leonid Litinskii, and Vladislav Egorov. "Analytical Expressions for Ising Models on High Dimensional Lattices." Entropy 23, no. 12 (2021): 1665. http://dx.doi.org/10.3390/e23121665.

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We use an m-vicinity method to examine Ising models on hypercube lattices of high dimensions d≥3. This method is applicable for both short-range and long-range interactions. We introduce a small parameter, which determines whether the method can be used when calculating the free energy. When we account for interaction with the nearest neighbors only, the value of this parameter depends on the dimension of the lattice d. We obtain an expression for the critical temperature in terms of the interaction constants that is in a good agreement with the results of computer simulations. For d=5,6,7, ou
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41

CRESWICK, RICHARD J., and CYNTHIA J. SISSON. "MONTE CARLO STUDY OF THE SPIN-1/2 HEISENBERG MODEL IN 1, 2, AND 3 DIMENSIONS." Modern Physics Letters B 05, no. 13 (1991): 907–14. http://dx.doi.org/10.1142/s0217984991001131.

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The properties of the spin-1/2 Heisenberg model on 1, 2, and 3-dimensional lattices are calculated using the Decoupled Cell Method of Homma et al., and these results are compared with high temperature and spin-wave expansions, and with other numerical approaches. The DCM has advantages over other Monte Carlo methods currently in wide use in that the transition probability is positive definite, there is no need to introduce an additional imaginary time, or Trotter, dimension, and the acceptance rate for transitions is comparable to that of classical lattice models. We find very good agreement b
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42

Gerasimov, N. V., and M. A. Zakharov. "Thermodynamics and phase diagram calculation of the binary arsenic-tellurium system in the framework of the generalized lattice model." Journal of Physics: Conference Series 2052, no. 1 (2021): 012015. http://dx.doi.org/10.1088/1742-6596/2052/1/012015.

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Abstract In this work we describe how to efficiently calculate thermodynamic properties and T-x diagram of binary As-Te solution in the generalized lattice model. All the thermodynamic parameters of the As-Te solution are obtained within framework of the generalized lattice model. The binary phase diagram of As-Te system is calculated and good agreement with experimental data is obtained.
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43

Reentovich, V. I., and S. B. Rutkevich. "On melting temperature of the Abrikosov vortex lattice." Soviet Journal of Low Temperature Physics 17, no. 4 (1991): 266–68. https://doi.org/10.1063/10.0032823.

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An approximate criterion of melting without fitting parameters is proposed for the Abrikosov vortex lattice. The criterion is in good agreement with the experimental temperature dependences of heat capacity, which were observed for ordinary (Nb) and high-temperature (Y–Ba–Cu–O) superconductors. The fluctuation correction to the shear modulus of the vortex lattice is calculated in the Gaussian approximation.
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44

CHEN, LINJIE, and CHANGFENG MA. "SIMULATION OF KdV-BURGERS EQUATION WITH LATTICE BGK MODEL." International Journal of Modern Physics B 25, no. 03 (2011): 433–40. http://dx.doi.org/10.1142/s0217979211057402.

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The lattice BGK method is a recently developed numerical scheme for simulating a variety of physical systems in recent years. In this paper, a four-speed lattice BGK model is given for simulating KdV-Burgers equation ut+uux-αuxx+βuxxx = 0. Simulating results are compared with the analytical solution of the KdV-Burgers equation and they are in excellent agreement with each other.
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45

Kirsanov, M. N. "Analytical Estimation of the Natural Oscillation Frequency of a Planar Lattice." Advanced Engineering Research 22, no. 4 (2023): 315–22. http://dx.doi.org/10.23947/2687-1653-2022-22-4-315-322.

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Introduction. A new scheme of a flat statically determinate regular lattice is proposed. The lattice rods are hinged. The study aims at deriving a formula for the dependence on the number of panels of the first natural oscillation frequency of nodes endowed with masses, each of which has two degrees of freedom in the lattice plane. The rigidity of all rods is assumed to be the same, the supports (movable and fixed hinges) — nondeformable. Another objective of the study is to find the dependence of the stresses in the most compressed and stretched rods on the number of panels in an analytical f
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Hu, Wang Yu, Shi Fang Xiao, Jian Yu Yang, and Wei Hong Qi. "Inhomogeneous Lattice Distortion in Metallic Nanoparticles." Solid State Phenomena 121-123 (March 2007): 1045–48. http://dx.doi.org/10.4028/www.scientific.net/ssp.121-123.1045.

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In the present paper, the size and temperature effects on lattice distortion of Ag and Pt nanoparticles have been investigated in terms of atomic mean bond length using the molecular dynamics simulations and the modified analytic embedded atom method. It is found that the lattice contraction ratio decreases linearly with the reciprocal of the particle size. The average value of lattice contraction over the whole system is larger than that of the experimental data, and the average value of lattice contraction in the inner core has a better agreement with the experiment results. This phenomenon
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47

Brandt, Bastian B. "Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory." Indian Journal of Physics 95, no. 8 (2021): 1613–22. http://dx.doi.org/10.1007/s12648-021-02127-9.

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AbstractWe perform a high-precision measurement of the spectrum of the flux tube in three-dimensional $${\text {SU}}(2)$$ SU ( 2 ) gauge theory at multiple lattice spacings. We compare the results at large $$q\bar{q}$$ q q ¯ separations R to the spectrum predicted by the effective string theory, including the leading-order boundary term with a nonuniversal coefficient. We find qualitative agreement with the predictions from the leading-order Nambu–Goto string theory down to small values of R, while, at the same time, observing the predicted splitting of the second excited state due to the boun
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48

Frasca, Marco, Anish Ghoshal, and Stefan Groote. "Non-Perturbative Quantum Yang–Mills at Finite Temperature Beyond Lattice: A Dyson–Schwinger Approach." Symmetry 17, no. 4 (2025): 543. https://doi.org/10.3390/sym17040543.

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Using a Dyson–Schwinger approach, we perform an analysis of the non-trivial ground state of thermal SU(N) Yang–Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic observables such as energy density and pressure are derived analytically, using Jacobi elliptic functions. The results are compared with the lattice results. Good agreement is found at low temperatures, providing a viable scenario for a gas of massive glue states populating higher levels of the spectrum of the theory. At high temperatures, a scenario without glue
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Iandiorio, Christian, Gianmarco Mattei, Emanuele Marotta, Girolamo Costanza, Maria Elisa Tata, and Pietro Salvini. "The Beneficial Effect of a TPMS-Based Fillet Shape on the Mechanical Strength of Metal Cubic Lattice Structures." Materials 17, no. 7 (2024): 1553. http://dx.doi.org/10.3390/ma17071553.

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The goal of this paper is to improve the mechanical strength-to-weight ratios of metal cubic lattice structures using unit cells with fillet shapes inspired by triply periodic minimal surfaces (TPMSs). The lattice structures here presented were fabricated from AA6082 aluminum alloy using lost-PLA processing. Static and dynamic flat and wedge compression tests were conducted on samples with varying fillet shapes and fill factors. Finite element method simulations followed the static tests to compare numerical predictions with experimental outcomes, revealing a good agreement. The TPSM-type fill
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Sun, Jing, Shuo Huang, Jiang Shen, and Ping Qian. "Atomistic Simulation for the Site Preference of Tb3(Fe28-XCoX)V1.0 Compounds." Advanced Materials Research 535-537 (June 2012): 1015–18. http://dx.doi.org/10.4028/www.scientific.net/amr.535-537.1015.

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The effect of cobalt on the structural properties of intermetallic Tb3(Fe28-xCox)V1.0with Nd3(Fe,Ti)29structure has been studied by using interatomic pair potentials obtained through the lattice inversion method. Calculated results show that the order of site preference of cobalt is 8j(Fe8), 4e(Fe11) and 2c(Fe1) which is in good agreement with experimental results. And the calculated lattice constants coincide quite well with experimental values. All these prove the effectiveness of interatomic pair potentials obtained through the lattice inversion method in the description of rare-earth mater
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