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We study the persistence P(t) of the magnetization of a d' dimensional manifold (i.e., the probability that the manifold magnetization does not flip up to time t, starting from a random initial condition) in a d-dimensional spin system at…

统计力学 · 物理学 2009-11-10 Satya N. Majumdar , Alan J. Bray

The critical properties of short-range Ising spin-glass models, defined on a diamond hierarchical lattice of graph fractal dimension $d_{f}=2.58$, 3, and 4, and scaling factor 2 are studied via a method based on the Migdal-Kadanoff…

无序系统与神经网络 · 物理学 2015-06-25 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado

A one dimensional kinetic Ising model at a finite temperature on a semi-infinite lattice with time varying boundary spins is considered. Exact expressions for the expectation values of the spin at each site are obtained, in terms of the…

统计力学 · 物理学 2012-02-06 Amir Aghamohammadi , Cina Aghamohammadi , Mohammad Khorrami

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

统计力学 · 物理学 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin…

统计力学 · 物理学 2023-06-27 Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

The scaling of the thermoremanent magnetization and of the dissipative part of the non-equilibrium magnetic susceptibility is analysed as a function of the waiting-time $s$ for a simple ferromagnet undergoing phase-ordering kinetics after a…

凝聚态物理 · 物理学 2009-11-07 Malte Henkel , Matthias Paessens , Michel Pleimling

We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are…

统计力学 · 物理学 2020-11-13 Aydin Deger , Fredrik Brange , Christian Flindt

We consider the planar Ising model in a finite square box and we replace the temperature parameter with a function depending on the magnetization. This creates a feedback from the spin configuration onto the parameter, which drives the…

概率论 · 数学 2021-02-22 Nicolas Forien

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…

统计力学 · 物理学 2009-10-31 H. W. J. Blöte , J. R. Heringa , M. M. Tsypin

We calculate the magnetization of a two-dimensional superconductor in a perpendicular magnetic field near its Kosterlitz-Thouless transition and at lower temperatures. We find that the critical behavior is more complex than assumed in the…

超导电性 · 物理学 2013-05-29 Vadim Oganesyan , David A. Huse , S. L. Sondhi

This article gives a brief overview on recent advances in experiments of critical exponents in three groups of magnetic materials. Revisiting experimental data verifies that a universality class with the critical exponents beta = 3/8, gamma…

综合物理 · 物理学 2025-12-03 Zhidong Zhang

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

统计力学 · 物理学 2012-12-24 M. Žukovič , A. Bobák

A careful Monte Carlo investigation of the phase transition very close to the critical point (T -> Tc, H -> 0) in relatively large d = 3, s = 1/2 Ising lattices did produce critical exponents beta = 0.3126(4) =~ 5/16, delta^{-1} = 0.1997(4)…

统计力学 · 物理学 2007-05-23 Jorge Garcia , Julio A. Gonzalo , Manuel I. Marques

Form factor representation of the correlation function of the 2D Ising model on a cylinder is generalized to the case of arbitrary disposition of correlating spins. The magnetic susceptibility on a lattice, one of whose dimensions ($N$) is…

高能物理 - 理论 · 物理学 2008-11-26 A. I. Bugrij , O. Lisovyy

We compute the energy density at arbitrary temperature of the half plane Ising lattice with a boundary magnetic field $H_b$ at a distance $M$ rows from the boundary and compare limiting cases of the exact expression with recent calculations…

数学物理 · 物理学 2015-05-20 M. Assis , B. M. McCoy

Response of pure Ising systems to time-dependent external magnetic fields, like pulsed and oscillating fields, are discussed and compared here. Because of the two time scales involved, namely the thermodynamic relaxation time of the system…

统计力学 · 物理学 2009-11-07 Bikas K. Chakrabarti , Arkajyoti Misra

A new and powerful mean field scheme is presented. It maps to a one-dimensional finite closed chain in an external field. The chain size accounts for lattice topologies. Moreover lattice connectivity is rescaled according to the GM law…

无序系统与神经网络 · 物理学 2009-10-31 Serge Galam

The influence of random site dilution on the critical properties of the two-dimensional Ising model on a square lattice was explored by Monte Carlo simulations with the Wang-Landau sampling. The lattice linear size was $L = 20-120$ and the…

统计力学 · 物理学 2008-07-02 I. A. Hadjiagapiou , A. Malakis , S. S. Martinos

We investigate the low-temperature critical behavior of the three dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature $T \to 0$ the usual scaling relations have to be modified as far as…

无序系统与神经网络 · 物理学 2015-06-25 U. Nowak , K. D. Usadel , J. Esser

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. In this…

统计力学 · 物理学 2009-07-09 S. A. Pighin , S. A. Cannas