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The two-dimensional Ising model with fixed magnetization is studied using Monte Carlo techniques. At the coexistence line, the macroscopic, extensive droplet of minority spins becomes thermally unstable by breaking up into microscopic…

Statistical Mechanics · Physics 2009-10-31 M. Pleimling , W. Selke

We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover…

Disordered Systems and Neural Networks · Physics 2012-02-28 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti

We consider the ferromagnetic Ising model with Glauber spin flip dynamics in one dimension. The external magnetic field vanishes and the couplings are i.i.d. random variables. If their distribution has compact support, the disorder averaged…

Mathematical Physics · Physics 2007-05-23 H. Spohn , E. Zhizhina

The phase-ordering kinetics of the ferromagnetic two-dimensional Ising model with uniform disorder is investigated by intensive Monte Carlo simulations. Taking into account finite-time corrections to scaling, simple ageing behaviour is…

Statistical Mechanics · Physics 2007-09-21 Florian Baumann , Malte Henkel , Michel Pleimling

We propose two different macroscopic dynamics to describe the decay of metastable phases in many-particle systems with local interactions. These dynamics depend on the macroscopic order parameter $m$ through the restricted free energy…

Condensed Matter · Physics 2016-08-31 J. Lee , M. A. Novotny , P. A. Rikvold

We theoretically investigate the spatial dependence of the order parameter of the two-dimensional semi-infinite Ising model with a free surface at or above the bulk critical temperature. Special attention is paid to the influence of a…

Condensed Matter · Physics 2015-06-25 P. Czerner , U. Ritschel

The ground state structure of the two-dimensional random field Ising magnet is studied using exact numerical calculations. First we show that the ferromagnetism, which exists for small system sizes, vanishes with a large excitation at a…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. T. Seppälä , M. J. Alava

The Ising model in the presence of a random field, drawn from the asymmetric and anisotropic trimodal probability distribution $P(h_{i})=p\; \delta(h_{i}-h_{0}) + q \delta (h_{i}+ \lambda *h_{0}) + r \delta (h_{i})$, is investigated. The…

Statistical Mechanics · Physics 2013-04-10 Ioannis A. Hadjiagapiou

We present a comprehensive Monte Carlo study of domain growth in the random-bond XY model with non-conserved kinetics. The presence of quenched disorder slows down domain growth in d = 2; 3. In d = 2, we observe power-law growth with a…

Statistical Mechanics · Physics 2017-10-26 Manoj Kumar , Swarnajit Chatterjee , Raja Paul , Sanjay Puri

The presence of random fields is well known to destroy ferromagnetic order in Ising systems in two dimensions. When the system is placed in a sufficiently strong external field, however, the size of clusters of like spins diverges. There is…

Statistical Mechanics · Physics 2011-08-01 Jacob D. Stevenson , Martin Weigel

Domain randomization in reinforcement learning is an established technique for increasing the robustness of control policies trained in simulation. By randomizing environment properties during training, the learned policy can become robust…

Monte Carlo simulations are used to study the magnetic relaxation of a system of single domain particles with dipolar interactions modeled by a chain of Heisenberg classical spins. We show that the so-called $T\ln(t/\tau_0)$ method can be…

Materials Science · Physics 2007-05-23 Oscar Iglesias , Amilcar Labarta

The effect of the zero centered Gaussian random magnetic field distribution on the phase diagrams and ground state magnetizations of the transverse Ising thin film has been investigated. As a formulation, the differential operator technique…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

We study the three-dimensional Ising model at the critical point in the fixed-magnetization ensemble, by means of the recently developed geometric cluster Monte Carlo algorithm. We define a magnetic-field-like quantity in terms of…

Statistical Mechanics · Physics 2009-10-31 H. W. J. Blöte , J. R. Heringa , M. M. Tsypin

Using $\phi^4$ field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization $M$ for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory…

Statistical Mechanics · Physics 2009-10-31 X. S. Chen , V. Dohm , D. Stauffer

The celebrated {\it fluctuation dissipation theorem} (FDT) does not apply to nonequilibrium systems. In this context, Cugliandolo and Kurchan [Phys. Rev. Lett. {\bf 71}, 173 (1993)] introduced a generalized FDT which interprets the…

Statistical Mechanics · Physics 2025-12-25 Parbati Saha , Sanjay Puri , Varsha Banerjee

The domain-area distribution in the phase transition dynamics of ${\rm Z}_2$ symmetry breaking is studied theoretically and numerically for segregating binary Bose--Einstein condensates in quasi-two-dimensional systems. Due to the dynamic…

Quantum Gases · Physics 2018-01-18 Hiromitsu Takeuchi

We study dynamics in classical spin ice following a magnetic field quench to close to the Kasteleyn transition, using Monte Carlo simulations and dynamic scaling theory to characterize the relaxation of the magnetization and the density of…

Statistical Mechanics · Physics 2026-03-23 Sukla Pal , Stephen Powell

Macroscopic fluctuation theory has shown that a wide class of non-equilibrium stochastic dynamical systems obey a large deviation principle, but except for a few one-dimensional examples these large deviation principles are in general not…

Statistical Mechanics · Physics 2014-10-02 Gino Del Ferraro , Erik Aurell

The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium…

Statistical Mechanics · Physics 2021-01-29 Ajay Halder , Muktish Acharyya