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We investigate relaxation dynamics along the entire first-order phase transition line by analyzing the time evolution of the free energy landscape in the three-dimensional kinetic Ising model. Near the critical temperature $T_{\rm c}$, the…

Statistical Mechanics · Physics 2025-08-28 Ranran Guo , Xiaobing Li , Yuming Zhong , Mingmei Xu , Jinghua Fu , Yuanfang Wu

Magnetic properties of an Ising bilayer system defined on a honeycomb lattice with non-magnetic interlayers which interact via an indirect exchange coupling have been investigated by Monte Carlo simulation technique. Equilibrium properties…

Statistical Mechanics · Physics 2018-11-14 Yusuf Yüksel

The thermodynamic and dynamical properties of an Ising model with both short range and long range, mean field like, interactions are studied within the microcanonical ensemble. It is found that the relaxation time of thermodynamically…

Statistical Mechanics · Physics 2009-11-11 D. Mukamel , S. Ruffo , N. Schreiber

We investigate how the scaling behavior of finite systems at magnetic first-order transitions (FOTs) with relaxational dynamics changes in correspondence of various boundary conditions. As a theoretical laboratory we consider the…

Statistical Mechanics · Physics 2019-07-24 Pierpaolo Fontana

Multiplex networks consist of a fixed set of nodes connected by several sets of edges which are generated separately and correspond to different networks ("layers"). Here, the Ising model on multiplex networks with two layers is considered,…

Statistical Mechanics · Physics 2017-03-10 Andrzej Krawiecki

We study the magnetic relaxation of a system of localized spins interacting through weak dipole interactions, at a temperature large with respect to the ordering temperature but low with respect to the crystal field level splitting. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Cuccoli , A. Fort , A. Rettori , E. Adam , J. Villain

We report Monte Carlo simulations of a lattice-polymer model that can account for both polymer crystallization and liquid-liquid demixing in solutions of semiflexible homopolymers. In our model, neighboring polymer segments can have…

Soft Condensed Matter · Physics 2009-11-07 Wenbing Hu , Daan Frenkel , Vincent B. F. Mathot

We study phase ordering dynamics in the three-dimensional nearest-neighbor Ising model, following rapid quenches from infinite to zero temperature. Results on various aspects, viz., domain growth, persistence, aging and pattern, have been…

Statistical Mechanics · Physics 2017-04-26 Subir K. Das , Saikat Chakraborty

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

Condensed Matter · Physics 2009-10-28 Koji Hukushima , Koji Nemoto

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximation. The evolution of the two-dimensional, half-filled system is described by an…

Statistical Mechanics · Physics 2009-10-30 Attila Szolnoki

We review some aspects of current knowledge regarding the decay of metastable phases in many-particle systems. In particular we emphasize recent theoretical and computational developments and numerical results regarding homogeneous…

Condensed Matter · Physics 2016-11-03 P. A. Rikvold , B. M. Gorman

We analyse the out of equilibrium behavior of an Ising spin chain with an asymmetric kinetic constraint after a quench to a low temperature T. In the limit T\to 0, we provide an exact solution of the resulting coarsening process. The…

Statistical Mechanics · Physics 2007-05-23 Peter Sollich , Martin R Evans

We study a conservative stochastic lattice dynamics (Kawasaki dynamics) in contact everywhere in the bulk with a heat bath. Particles interact via an Ising Hamiltonian and phase separation occurs at low temperature. We drive the system out…

Statistical Mechanics · Physics 2025-12-22 Meander Van den Brande , Kyosuke Adachi , Francois Huveneers

We study magnetic properties of the $S=1/2$ Ising-like XXZ model on the Shastry-Sutherland lattices with long-range interactions, using the quantum Monte Carlo method. This model shows magnetization plateau phases at one-half and one-third…

Strongly Correlated Electrons · Physics 2015-05-14 Takahumi Suzuki , Yusuke Tomita , Naoki Kawashima

In this work, we study the magnetization behaviors of the classical Ising model on the triangular lattice using Monte Carlo simulations, and pay particular attention to the effect of further-neighbor interactions. Several fascinating spin…

Strongly Correlated Electrons · Physics 2016-07-01 J. Chen , W. Z. Zhuo , M. H. Qin , S. Dong , M. Zeng , X. B. Lu , X. S. Gao , J. -M. Liu

We consider the problem of relaxation in a one-dimensional system of interacting electrons. In the limit of weak interactions, we calculate the decay rate of a single-electron excitation, accounting for the nonlinear dispersion. The leading…

Strongly Correlated Electrons · Physics 2013-04-09 Zoran Ristivojevic , K. A. Matveev

We perform large scale simulations of the frustrated Ising lattice gas, a three-dimensional lattice model of a structural glass, using the parallel tempering technique. We evaluate the spin and density overlap distributions, and the…

Statistical Mechanics · Physics 2009-11-07 A. de Candia , A. Coniglio

We demonstrate the nontrivial scaling behavior of Ising models defined on (i) a donut-shaped surface and (ii) a curved surface with a constant negative curvature. By performing Monte Carlo simulations, we find that the former model has two…

Disordered Systems and Neural Networks · Physics 2009-11-11 Isaku Hasegawa , Yasunori Sakaniwa , Hiroyuki Shima

The equilibrium phase diagram of a two-dimensional Ising model with competing exchange and dipolar interactions is analyzed using a Monte Carlo simulation technique. We consider the low temperature region of the (delta,T) phase diagram…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pablo M. Gleiser , Francisco A. Tamarit , Sergio A. Cannas