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Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

Strongly Correlated Electrons · Physics 2018-11-06 A. O. Sorokin

We present a study, within a mean-field approach, of the kinetics of a mixed ferrimagnetic model on a square lattice in which two interpenetrating square sublattices have spins that can take two values, $\sigma=\pm1/2$, alternated with…

Statistical Mechanics · Physics 2009-03-12 B. Deviren , M. Keskin , O. Canko

We report the results of mean field and the Monte Carlo study of the dynamic magnetization-reversal transition in the Ising model, brought about by the application of an external field pulse applied in opposition to the existing order…

Statistical Mechanics · Physics 2009-10-31 A. Misra , B. K. Chakrabarti

The $\pm J$ Ising model is a simple frustrated spin model, where the exchange couplings independently take the discrete value $-J$ with probability $p$ and $+J$ with probability $1-p$. It is especially appealing due to its connection to…

Statistical Mechanics · Physics 2023-12-29 Ramgopal Agrawal , Leticia F. Cugliandolo , Lara Faoro , Lev B. Ioffe , Marco Picco

We consider Glauber dynamics for the low-temperature, ferromagnetic Ising Model set on the n-dimensional hypercube. We derive precise asymptotic results for the crossover time (the time it takes for the dynamics to go from the configuration…

Probability · Mathematics 2015-09-01 Oliver Jovanovski

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high…

Disordered Systems and Neural Networks · Physics 2016-06-07 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

We study numerically the aging dynamics of the two-dimensional p-state clock model after a quench from an infinite temperature to the ferromagnetic phase or to the Kosterlitz-Thouless phase. The system exhibits the general scaling behavior…

Statistical Mechanics · Physics 2018-06-11 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We study the coevolution of a generalized Glauber dynamics for Ising spins, with tunable threshold, and of the graph topology where the dynamics takes place. This simple coevolution dynamics generates a rich phase diagram in the space of…

Physics and Society · Physics 2009-11-25 Salvatore Mandra' , Santo Fortunato , Claudio Castellano

We study in detail the active Ising model, a stochastic lattice gas where collective motion emerges from the spontaneous breaking of a discrete symmetry. On a 2d lattice, active particles undergo a diffusion biased in one of two possible…

Statistical Mechanics · Physics 2015-10-12 A. P. Solon , J. Tailleur

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

Universal scaling laws only apply asymptotically near critical phase transitions. We propose a general scheme, based on normal form theory of renormalization group flows, for incorporating corrections to scaling that quantitatively describe…

Statistical Mechanics · Physics 2024-08-06 David Hathcock , James P. Sethna

We report the nonequilibrium dynamical phase transition (NDPT) appearing in a kinetic Ising spin system (ISS) subject to the joint application of a deterministic external field and the stochastic mutually correlated noises simultaneously. A…

Statistical Mechanics · Physics 2007-05-23 Yuanzhi Shao , Weirong Zhong , Zhenhui He

We analyze theoretically the many-body dynamics of a dissipative Ising model in a transverse field using a variational approach. We find that the steady state phase diagram is substantially modified compared to its equilibrium counterpart,…

Statistical Mechanics · Physics 2017-09-29 Vincent R. Overbeck , Mohammad F. Maghrebi , Alexey V. Gorshkov , Hendrik Weimer

We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

In a recent paper [P. Mayer et al., Phys. Rev. Lett. 93, 115701 (2004)] it was shown, by means of experiments, theory and simulations, that coarsening systems display dynamic heterogeneity analogous to that of glass formers. Here, we…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

We studied the dynamical phase transition in kinetic Ising ferromagnets driven by oscillating magnetic field in meanfield approximation. The meanfield differential equation was solved by sixth order Runge-Kutta-Felberg method. The time…

Statistical Mechanics · Physics 2015-05-18 Muktish Acharyya , Ajanta Bhowal

With the help of the replica exchange Monte Carlo method and the improved Monte Carlo renormalization-group scheme, we investigate over a wide area in the phase diagram of the Gaussian random field Ising model on the simple cubic lattice.…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Itakura

In this paper, we study the evolution of the zero-temperature random field Ising model as the mean of the external field $M$ increases from $-\infty$ to $\infty$. We focus on two types of evolutions: the ground state evolution and the…

Probability · Mathematics 2025-12-03 Jian Ding , Peng Yang , Zijie Zhuang

We investigate the out-of-equilibrium behavior of a dissipative gas of Rydberg atoms that features a dynamical transition between two stationary states characterized by different excitation densities. We determine the structure and…

Statistical Mechanics · Physics 2014-11-27 M. Marcuzzi , E. Levi , S. Diehl , J. P. Garrahan , I. Lesanovsky

The short-time dynamic evolution of an Ising model embedded in an infinitely ramified fractal structure with noninteger Hausdorff dimension was studied using Monte Carlo simulations. Completely ordered and disordered spin configurations…

Statistical Mechanics · Physics 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano