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We study the ferromagnetic random field Ising model (RFIM) on a graph $G=(V,E)$ having maximal degree $\Delta$, where the external field at each vertex is an i.i.d. random variable. When the random field distribution is sufficiently…

概率论 · 数学 2026-05-05 Yi Han

Dynamic magnetic properties and ageing phenomena of the re-entrant ferromagnet (Fe0.20Ni0.80)75P16B6Al3 are investigated by time dependent zero field cooled magnetic relaxation, m (t), measurements. The influence of a temperature cycling…

无序系统与神经网络 · 物理学 2009-10-31 Kristian Jonason , Per Nordblad

We investigate the effect of disorder on the Curie-Weiss model with Glauber dynamics. In particular, we study metastability for spin-flip dynamics on the Erd\H{o}s-R\'enyi random graph $ER_n(p)$ with $n$ vertices and with edge retention…

概率论 · 数学 2020-07-24 Frank den Hollander , Oliver Jovanovski

The ferromagnetic transition in the Ising model is the paradigmatic example of ergodicity breaking accompanied by symmetry breaking. It is routinely assumed that the thermodynamic limit is taken with free or periodic boundary conditions.…

统计力学 · 物理学 2019-04-18 Annalisa Fierro , Antonio Coniglio , Marco Zannetti

We study numerically the thermalisation and temporal evolution of the reduced density matrix for a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum…

量子物理 · 物理学 2011-01-24 S. Genway , A. F. Ho , D. K. K. Lee

Meta-stable states are identified in the Ising model with competition between the Glauber and Kawasaki dynamics. The model of interaction between magnetic moments was implemented on a network where the degree distribution follows a…

统计力学 · 物理学 2024-04-25 R. A. Dumer , M. Godoy

Aging dynamics of a reentrant ferromagnet stage-2 Cu$_{0.8}$Co$_{0.2}$Cl$_{2}$ graphite intercalation compound has been studied using DC magnetic susceptibility. This compound undergoes successive transitions at the transition temperatures…

无序系统与神经网络 · 物理学 2009-11-11 Masatsugu Suzuki , Itsuko S. Suzuki

We consider an out-of-equilibrium one-dimensional model for two electrical double-layers. With a combination of exact calculations and Brownian Dynamics simulations, we compute the relaxation time ($\tau$) for an electroneutral salt-free…

软凝聚态物质 · 物理学 2021-08-11 Lucas Varela , Sergio Andraus , Emmanuel Trizac , Gabriel Téllez

In this work we performed numerical simulations for the Ising model on three dimensional lattices with coordination number equal 5. With Monte Carlo simulations in the static case we evaluated the critical temperature and the static…

统计力学 · 物理学 2024-06-28 Lourdes Bibiana Merino-Solís , Francisco Sastre

We theoretically study the thermal relaxation of many-body systems under the action of oscillating external fields. When the magnitude or the orientation of a field is modulated around values where the pairwise heat-exchange conductances…

介观与纳米尺度物理 · 物理学 2021-03-31 Riccardo Messina , Annika Ott , Christoph Kathmann , Svend-Age Biehs , Philippe Ben-Abdallah

The qualitative aspects of the phase diagram of the Ising model on the cubic lattice, with ferromagnetic nearest-neighbor interactions ($J_{1}$) and antiferromagnetic next-nearest-neighbor couplings ($J_{2}$) are analyzed in the plane…

The high temperature phase of the three dimensional random field Ising model is studied using replica symmetry breaking framework. It is found that, above the ferromagnetic transition temperature T_f, there appears a glassy phase at…

凝聚态物理 · 物理学 2009-10-22 M. Mezard , R. Monasson

We consider an infinite-range Ising model under the Glauber dynamics and determine the finite-size effect on the distribution of two spin variables as a perturbation of $O \left( 1/N \right)$. Based on several considerations, ordinary…

统计力学 · 物理学 2022-02-25 Hisato Komatsu

We describe a method, based on "hard" contact topology, of showing the existence of semi-infinite trajectories of contact Hamiltonian flows which start on one Legendrian submanifold and asymptotically converge to another Legendrian…

数学物理 · 物理学 2023-05-09 Michael Entov , Leonid Polterovich

The finite temperature dynamics of the Dyson hierarchical classical spins models is studied via real-space renormalization rules concerning the couplings and the relaxation times. For the ferromagnetic model involving Long-Ranged coupling…

无序系统与神经网络 · 物理学 2016-04-14 Cecile Monthus

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

统计力学 · 物理学 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermo-magnetic coupling. To allow conceptually efficient computer implementation, inspired by relaxation method of…

偏微分方程分析 · 数学 2013-02-06 Barbora Benešová , Martin Kružík , Tomáš Roubíček

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

强关联电子 · 物理学 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

The zero-temperature dynamics of simple models such as Ising ferromagnets provides, as an alternative to the mean-field situation, interesting examples of dynamical systems with many attractors (absorbing configurations, blocked…

统计力学 · 物理学 2007-05-23 C. Godreche , J. M. Luck

At a composition far above the percolation threshold, the resistance of a composite sample increases with time due to Joule heating as a constant current of sufficiently large value is passed through the sample. If the current is less than…

软凝聚态物质 · 物理学 2007-05-23 C. D. Mukherjee , K. K. Bardhan