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The effect of edge on wetting and layering transitions of a three-dimensional spin-1/2 Ising model is investigated, in the presence of longitudinal and surface magnetic fields, using mean field (MF) theory and Monte Carlo (MC) simulations.…

软凝聚态物质 · 物理学 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

The dynamic magnetization-reversal phenomena in the Ising model under a finite-duration external magnetic field competing with the existing order for $T<T_c^0$ has been discussed. The nature of the phase boundary has been estimated from the…

统计力学 · 物理学 2007-05-23 Arnab Chatterjee , Bikas K. Chakrabarti

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

凝聚态物理 · 物理学 2009-10-28 Heiko Rieger

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

统计力学 · 物理学 2008-02-03 T. Nattermann

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic 2D Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo…

统计力学 · 物理学 2011-07-01 N. Crokidakis , D. O. Soares-Pinto , M. S. Reis , A. M. Souza , R. S. Sarthour , I. S. Oliveira

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…

统计力学 · 物理学 2015-05-18 Muktish Acharyya , Ajanta Bhowal

We investigate the zero-temperature quantum phase transition of the random bond Ising chain in a transverse magnetic field. Its critical properties are identical to those of the McCoy-Wu model, which is a classical Ising model in two…

凝聚态物理 · 物理学 2009-10-22 A. Crisanti , H. Rieger

We consider the elastic theory for Ising transitions in an isotropic elastic medium in the zero thermal expansion (ZTE) limit. We use this theory to study the nature of the fluctuations in the system near the second phase transitions at…

统计力学 · 物理学 2023-01-03 Sudip Mukherjee , Abhik Basu

The Ising model in two dimensions with special toroidal boundary conditions is analyzed. These boundary condition, which we call duality twisted boundary conditions, may be interpreted as inserting a specific defect line ("seam") in the…

统计力学 · 物理学 2017-12-27 Armen Poghosyan , Nickolay Izmailian , Ralph Kenna

We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We study the magnetic susceptibility by applying a small magnetic…

无序系统与神经网络 · 物理学 2014-03-21 Marco Picco , Nicolas Sourlas

We consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontinuously along the boundary. We assume zero magnetic field in…

高能物理 - 理论 · 物理学 2022-11-23 Anatoly Konechny

The nonequilibrium dynamic phase transition, in the two dimensional kinetic Ising model in presence of a randomly varying (in time but uniform in space) magnetic field, has been studied both by Monte Carlo simulation and by solving the mean…

统计力学 · 物理学 2009-10-30 Muktish Acharyya

Understanding phase transitions requires not only identifying order parameters but also characterizing how their correlations behave across scales. By quantifying how fluctuations at distinct spatial or temporal points are related,…

统计力学 · 物理学 2025-11-27 Ismael S. S. Carrasco , Henrique A. de Lima , Fernando A. Oliveira

We prove absence of ground states in the infrared-divergent spin boson model at large coupling. Our key argument reduces the proof to verifying long range order in the dual one-dimensional continuum Ising model, i.e., to showing that the…

数学物理 · 物理学 2025-02-03 Volker Betz , Benjamin Hinrichs , Mino Nicola Kraft , Steffen Polzer

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

无序系统与神经网络 · 物理学 2009-11-13 Victor Dotsenko

We introduce a novel characterization of phase transitions based on hypothesis testing. In our formulation, a phase transition is defined as the breakdown of statistical indistinguishability under vanishing parameter perturbations in the…

统计力学 · 物理学 2026-04-20 Taiyo Narita , Hideyuki Miyahara

The Ginzburg-Landau model below its critical temperature in a temporally oscillating external field is studied both theoretically and numerically. As the frequency or the amplitude of the external force is changed, a nonequilibrium phase…

统计力学 · 物理学 2009-10-31 H. Fujisaka , H. Tutu , P. A. Rikvold

We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on…

无序系统与神经网络 · 物理学 2023-12-18 Ankita Chakrabarti , Cyril Martins , Nicolas Laflorencie , Bertrand Georgeot , Éric Brunet , Gabriel Lemarié

Recent works unraveled an intriguing finite-time dynamical phase transition in the thermal relaxation of the mean field Curie-Weiss model. The phase transition reflects a sudden switch in the dynamics. Its existence in systems with a finite…

统计力学 · 物理学 2023-03-28 Kristian Blom , Aljaž Godec

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

统计力学 · 物理学 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói