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We study the dynamical response of a two-dimensional Ising model subject to a square-wave oscillating external field. In contrast to earlier studies, the system evolves under a so-called soft Glauber dynamic [P.A. Rikvold and M. Kolesik, J.…

Statistical Mechanics · Physics 2008-11-14 Gloria M. Buendia , Per Arne Rikvold

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

For the 2D Ising model, we analyzed dependences of thermodynamic characteristics on number of spins by means of computer simulations. We compared experimental data obtained using the Fisher-Kasteleyn algorithm on a square lattice with…

Disordered Systems and Neural Networks · Physics 2020-02-04 Boris V. Kryzhanovsky , Magomed Yu. Malsagov , Iakov M. Karandashev

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

Ehrenfest urns with interaction that are connected in a ring is considered as a paradigm model for non-equilibrium thermodynamics and is shown to exhibit two distinct non-equilibrium steady states (NESS) of uniform and non-uniform particle…

Statistical Mechanics · Physics 2021-06-03 Chi-Ho Cheng , Pik-Yin Lai

We present a comprehensive numerical study of dynamic phase transitions in the two-dimensional kinetic Ising model under a non-antisymmetric time-dependent magnetic field including a sinusoidal term and a second harmonic component. We…

An exhaustive ground-state analysis of extended two-dimensional (2D) correlated spin-electron model consisting of the Ising spins localized on nodal lattice sites and mobile electrons delocalized over pairs of decorating sites is performed…

Strongly Correlated Electrons · Physics 2018-05-23 Hana Čenčariková , Jozef Strečka , Andrej Gendiar , Natália Tomašovičová

In this work we study the critical behavior of a three-state opinion model in the presence of noise. This noise represents the independent behavior, that plays the role of social temperature. Each agent on a regular D-dimensional lattice…

Physics and Society · Physics 2017-03-14 Nuno Crokidakis

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

Statistical Mechanics · Physics 2023-04-18 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

We consider the Ising model on the two-dimensional square lattice where on each horizontal line, called "layer", the interaction is given by a ferromagnetic Kac potential with coupling strength $J_\gamma(x,y)=\gamma J(\gamma(x-y))$, where…

The equilibrium and non--equilibrium disorder induced phase transitions are compared in the random-field Ising model (RFIM). We identify in the demagnetized state (DS) the correct non-equilibrium hysteretic counterpart of the T=0 ground…

Statistical Mechanics · Physics 2009-11-10 F. Colaiori , M. J. Alava , G. Durin , A. Magni , S. Zapperi

The magnetic properties and phase diagrams of the mixed spin-1 and spin-1/2 Ising model on a checkerboard square structure have been studied using the Monte Carlo simulations based on the Metropolis update protocol. The system consists of…

Statistical Mechanics · Physics 2021-09-15 Maen Gharaibeh , Mohammad H. A. Badarneh , Samah Alqaiem , Abdalla Obeidat , Mohammad-Khair Qaseer

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…

Statistical Mechanics · Physics 2015-05-13 G. M. Buendia , N. Hurtado

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

Statistical Mechanics · Physics 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

We perform simulations of random Ising models defined over small-world networks and we check the validity and the level of approximation of a recently proposed effective field theory. Simulations confirm a rich scenario with the presence of…

Disordered Systems and Neural Networks · Physics 2015-03-13 A. L. Ferreira , J. F. F. Mendes , M. Ostilli

The Glauber model on a one-dimensional lattice with boundaries (for the ferromagnetic- and anti-ferromagnetic case) is considered. The large-time behaviour of the one-point function is studied. It is shown that, for any positive…

Statistical Mechanics · Physics 2009-11-07 Mohammad Khorrami , Amir Aghamohammadi

The metastable behavior of a kinetic Ising--like ferromagnetic model system in which a generic type of microscopic disorder induces nonequilibrium steady states is studied by computer simulation and a mean--field approach. We pay attention,…

Statistical Mechanics · Physics 2009-11-10 P. I. Hurtado , J. Marro , P. L. Garrido

Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system…

Soft Condensed Matter · Physics 2023-05-10 Daniel S. Seara , Akash Piya , A. Pasha Tabatabai

We introduce a rejection-free continuous-time kinetic Monte Carlo framework to study stochastic systems governed by multiple concurrent dynamical mechanisms. In this approach, the relative activity of each dynamical channel emerges…

Statistical Mechanics · Physics 2026-03-31 R. A. Dumer , M. Godoy , J. F. F. Mendes

By Monte Carlo simulations we study critical properties of the mixed spin-1/2 and spin-1 Ising model on a triangular lattice, considering two different ways of the spin-value distributions on the three sublattices: $(1/2,1/2,1)$ and…

Statistical Mechanics · Physics 2015-06-02 Milan Žukovič , Andrej Bobák
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