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The kinetics of domain growth and aging in conserved order parameter systems, in the presence of short-range interaction, is widely studied. Due to technical difficulties and lack of resources, regarding computation, the dynamics is still…

统计力学 · 物理学 2023-04-12 Soumik Ghosh , Subir K. Das

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations $p=0.95$ and 0.8 at criticality. In contrast to studies of the critical behavior of the…

无序系统与神经网络 · 物理学 2010-05-31 Pavel V. Prudnikov , Vladimir V. Prudnikov , Aleksandr S. Krinitsyn , Andrei N. Vakilov , Evgenii A. Pospelov

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

统计力学 · 物理学 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of Mode Coupling Theory, providing a two-time relaxation scenario and power-law behaviors of the time…

无序系统与神经网络 · 物理学 2013-01-30 Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

We investigate the dynamic critical exponent of the two-dimensional Ising model defined on a curved surface with constant negative curvature. By using the short-time relaxation method, we find a quantitative alteration of the dynamic…

统计力学 · 物理学 2009-11-11 Hiroyuki Shima , Yasunori Sakaniwa

We investigate a model for randomly layered magnets, viz. a three-dimensional Ising model with planar defects. The magnetic phase transition in this system is smeared because static long-range order can develop on isolated rare spatial…

统计力学 · 物理学 2007-05-23 Shellie Huether , Ryan Kinney , Thomas Vojta

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

可精确求解与可积系统 · 物理学 2011-11-10 A. I. Bugrij , O. Lisovyy

We present a new method to close the Master Equation representing the continuous time dynamics of Ising interacting spins. The method makes use of the the theory of Random Point Processes to derive a master equation for local conditional…

无序系统与神经网络 · 物理学 2017-05-17 Erik Aurell , Gino Del Ferraro , Eduardo Dominguez , Roberto Mulet

We consider here the problem of a "giant spin", with spin quantum number S>>1, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes the low-energy properties of magnetic…

凝聚态物理 · 物理学 2015-06-25 I. S. Tupitsyn , N. V. Prokof'ev , P. C. E. Stamp

In systems removed from equilibrium, intrinsic microscopic fluctuations become correlated over distances comparable to the characteristic macroscopic length over which the external constraint is exerted. In order to investigate this…

comp-gas · 物理学 2009-10-28 Alberto Suarez , Jean Pierre Boon , Patrick Grosfils

We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range…

统计力学 · 物理学 2023-08-24 Etienne Granet

We simulate the collective dynamics in spin lattices with long range interactions and collective decay in one, two and three dimensions. Starting from a dynamical mean-field approach derived by local factorization of the density operator we…

量子物理 · 物理学 2016-01-20 S. Krämer , H. Ritsch

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

统计力学 · 物理学 2013-04-17 Christopher J. Fullerton , M. A. Moore

A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically…

高能物理 - 理论 · 物理学 2009-10-28 Marco Vekic , Shao Liu , Herbert W. Hamber

We present a numerical study based on Monte Carlo algorithm of the magnetic properties of a mixed Ising ferrimagnetic model on a cubic lattice where spins $\sigma =\pm 1/2$ and spins $S=0,\pm 1$ are in alternating sites on the lattice. We…

统计力学 · 物理学 2015-05-13 G. M. Buendia , N. Hurtado

We investigate theoretically the time evolution of a one-dimensional system of spin-1/2 fermions in a harmonic trap after, initially, a spiral spin configuration far-from equilibrium is created. We predict a spin segregation building up in…

量子气体 · 物理学 2011-12-30 Ulrich Ebling , Andre Eckardt , Maciej Lewenstein

We study a one--dimensional Ising spin systems with ferromagnetic, long--range interaction decaying as $n^{-2+\a}$, $\a \in [0,\frac 12]$, in the presence of external random fields. We assume that the random fields are given by a collection…

概率论 · 数学 2015-05-20 Marzio Cassandro , Enza Orlandi , Pierre Picco

We consider the critical spin-spin correlation function of the 2D Ising model with a line defect which strength is an arbitrary function of position. By using path-integral techniques in the continuum description of this model in terms of…

统计力学 · 物理学 2011-02-18 Carlos Naón , Marta Trobo

For arbitrary Ising-like models of any dimension and Hamiltonians with a finite support with all possible multispin interactions and boundary conditions with a shift, the exact value of the free energy in the thermodynamic limit is obtained…

统计力学 · 物理学 2021-03-16 Pavel V. Khrapov

In this work, we have employed Monte Carlo calculations to study the Ising model on a 2D additive small-world network with long-range interactions depending on the geometric distance between interacting sites. The network is initially…

统计力学 · 物理学 2024-09-04 R. A. Dumer , M. Godoy