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We consider a system of Ising spins s=1/2 with nonmagnetic impurities with charge associated with pseudospin S=1. The charge density is fixed pursuant to the concentration n. Analysis of the thermodynamic properties in the one-dimensional…

Statistical Mechanics · Physics 2024-01-30 D. N. Yasinskaya , Yu. D. Panov

We study metastability and mixing time for a non-reversible probabilistic cellular automaton. With a suitable choice of the parameters, we first show that the stationary distribution is close in total variation to a low temperature Ising…

Probability · Mathematics 2014-07-25 Paolo Dai Pra , Benedetto Scoppola , Elisabetta Scoppola

We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the…

Statistical Mechanics · Physics 2015-05-27 A. Prados , L. L. Bonilla , A. Carpio

In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures…

Statistical Mechanics · Physics 2015-06-11 Juan Muglia , Ezequiel V. Albano

In the present paper we continue our reconsideration about the foundations for a thermostatistical description of the called Hamiltonian nonextensive systems (see in cond-mat/0604290). After reviewing the selfsimilarity concept and the…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , F. Guzman

This paper presents a theoretical model for studying the dynamics of ordering in alloys which exhibit modulated phases. The model is different from the standard time-dependent Ginzburg-Landau description of the evolution of a non-conserved…

Condensed Matter · Physics 2009-10-22 Bulbul Chakraborty

An Ising model with ferromagnetic nearest-neighbor interactions $J_{1}$ ($J_{1}>0$) and random next-nearest-neighbor interactions [$+J_{2}$ with probability $p$ and $-J_{2}$ with probability $(1-p)$; $J_{2}>0$] is studied within the…

Statistical Mechanics · Physics 2009-06-22 Octavio R. Salmon , J. Ricardo de Sousa , Fernando D. Nobre

We study the two dimensional quantum Heisenberg antiferromagnet on the square lattice with easy-axis exchange anisotropy. By the semiclassical method called pure-quantum self-consistent harmonic approximation we analyse several…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Tommaso Roscilde , Paola Verrucchi , Ruggero Vaia

We study finite-temperature properties of a Hubbard model including sites of a particle bath which was proposed as a microscopic model to show itinerant ferromagnetism at finite electron density. We use direct numerical methods, such as…

Strongly Correlated Electrons · Physics 2022-07-15 Hiroaki Onishi , Seiji Miyashita

A new lattice model of interacting electrons is presented. It can be viewed as a classical Hubbard model in which the energy associated to electron itinerance is proportional to the total number of possible electron jumps. Symmetry…

Statistical Mechanics · Physics 2009-11-11 Andre M. C. Souza

In this work, we employed Monte Carlo simulations to study the Ising, $XY$, and Heisenberg models on a simple cubic lattice, where the system models evolve toward the steady state under the influence of competition between one- and two-spin…

Statistical Mechanics · Physics 2024-12-23 R. A. Dumer , M. Godoy

Using the path probability and lowest approximation of cluster variation method, we study the dynamic and equilibrium properties of a bilayer magnetic system, consisting of two ferromagnetic monolayers antiferromagnetically coupled for…

Statistical Mechanics · Physics 2024-01-18 C. Ekiz , R. Erdem , D. Semet

The physical origin of the backbendings in the equations of state of finite but not necessarily small systems is studied in the Ising model with fixed magnetization (IMFM) by means of the topological properties of the observable…

Statistical Mechanics · Physics 2009-11-10 F. Gulminelli , J. M. Carmona , Ph. Chomaz , J. Richert , S. Jimenez , V. Regnard

We study the warming process of a semi-infinite cylindrical Ising lattice initially ordered and coupled at the boundary to a heat reservoir. The adoption of a proper microcanonical dynamics allows a detailed study of the time evolution of…

Statistical Mechanics · Physics 2015-06-03 Elena Agliari , Mario Casartelli , Alessandro Vezzani

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

We study an Ising model in one dimension with short range ferromagnetic and long range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and…

Statistical Mechanics · Physics 2012-08-16 Erik Nielsen , R. N. Bhatt , David A. Huse

The nonequilibrium dynamic phase transition in ferromagnetic systems is reviewed. Very recent results of dynamic transition in kinetic Ising model and that in Heisenberg ferromagnet is discussed.

Statistical Mechanics · Physics 2013-02-15 Muktish Acharyya

Fluctuation relations for the entropy production in non equilibrium stationary states of Ising models are investigated by Monte Carlo simulations. Systems in contact with heat baths at two different temperatures or subject to external…

Statistical Mechanics · Physics 2009-11-13 A. Piscitelli , F. Corberi , G. Gonnella , A. Pelizzola

Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering an Euclidian domain with circles of maximal radii.…

Statistical Mechanics · Physics 2009-11-10 Roberto F. S. Andrade , Hans J. Herrmann

As powerful as machine learning (ML) techniques are in solving problems involving data with large dimensionality, explaining the results from the fitted parameters remains a challenging task of utmost importance, especially in physics…

Disordered Systems and Neural Networks · Physics 2024-04-15 Roberto C. Alamino
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