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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

Monte Carlo simulations are methods for simulating statistical systems. The aim is to generate a representative ensemble of configurations to access thermodynamical quantities without the need to solve the system analytically or to perform…

统计力学 · 物理学 2015-06-19 Jean-Charles Walter , Gerard Barkema

In this article, we have employed Monte Carlo simulations to study the Ising model on a two-dimensional additive small-world network (A-SWN). The system model consists of a LxL square lattice where each site of the lattice is occupied for a…

统计力学 · 物理学 2022-10-19 R. A. Dumer , M. Godoy

A hybrid lattice-statistical model of doubly decorated two-dimensional lattices, which have localized Ising spins at its nodal sites and itinerant electrons delocalized over decorating sites, is exactly solved with the help of a generalized…

统计力学 · 物理学 2015-05-14 Jozef Strecka , Akinori Tanaka , Michal Jascur

We study the J1-J2 Ising model on the square lattice using the random local field approximation (RLFA) and Monte Carlo (MC) simulations for various values of the ratio p = J2/|J1| with antiferromagnetic coupling J2, ensuring spin…

材料科学 · 物理学 2023-03-22 V. A. Abalmasov , B. E. Vugmeister

We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to…

凝聚态物理 · 物理学 2009-10-28 C. Zeng , C. L. Henley

The dynamical responses of random field Ising model at zero temperature, driven by standing magnetic field wave, is studied by Monte Carlo simulation in two dimensions. The three different kinds of distribution of quenched random field are…

统计力学 · 物理学 2015-07-20 Muktish Acharyya

Ising model with quenched random magnetic fields is examined for single Gaussian, bimodal and double Gaussian random field distributions by introducing an effective field approximation that takes into account the correlations between…

统计力学 · 物理学 2016-08-14 Yusuf Yüksel , Ümit Akıncı , Hamza Polat

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising…

高能物理 - 理论 · 物理学 2012-08-27 Valentin Bonzom , Razvan Gurau , Vincent Rivasseau

We apply the recursive stochastic state selection method, which is a new method for Monte Carlo study we have recently developed, to quantum spin systems with positive definite Hamiltonians. Through numerical studies of two-dimensional…

强关联电子 · 物理学 2007-05-23 Tomo Munehisa , Yasuko Munehisa

Nonequilibrium behavior and dynamic phase transition properties of a kinetic Ising model under the influence of periodically oscillating random-fields have been analyzed within the framework of effective field theory (EFT) based on a…

统计力学 · 物理学 2012-07-10 Yusuf Yüksel , Erol Vatansever , Ümit Akıncı , Hamza Polat

Using Monte Carlo simulations we study cooling-rate effects in a three-dimensional Ising model with four-spin interaction. During coarsening, this model develops growing energy barriers which at low temperature lead to very slow dynamics.…

统计力学 · 物理学 2009-10-31 A. Lipowski , D. Johnston

We study an Ising spin system coupled to a fluctuating four-dimensional $Z_2$-Regge lattice and compare with the results of the four-dimensional Ising model on a regular lattice. Particular emphasis is placed on the phase transition of the…

高能物理 - 格点 · 物理学 2008-11-26 Elmar Bittner , Wolfhard Janke , Harald Markum

We present a numerical study based on Monte Carlo algorithm of the magnetic properties of a mixed Ising ferrimagnetic model on a cubic lattice where spins $\sigma =\pm 1/2$ and spins $S=0,\pm 1$ are in alternating sites on the lattice. We…

统计力学 · 物理学 2015-05-13 G. M. Buendia , N. Hurtado

We present a {\it numerically exact} study of the Hubbard model with spin-dependent anisotropic hopping on the square lattice using auxiliary-field quantum Monte Carlo method. At half filling, the system undergoes Ising phase transitions…

强关联电子 · 物理学 2025-03-13 Zhuotao Xie , Yu-Feng Song , Yuan-Yao He

Ground-state and magnetocaloric properties of a double-tetrahedral chain, in which nodal lattice sites occupied by the localized Ising spins regularly alternate with triangular clusters half filled with mobile electrons, are exactly…

统计力学 · 物理学 2016-10-12 Lucia Galisova , Dorota Jakubczyk

The $q$-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model…

统计力学 · 物理学 2020-12-09 A. Krawiecki

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by…

统计力学 · 物理学 2009-10-31 A. P. Vieira , L. L. Goncalves

Thermodynamic properties of the mixed spin-3/2 and spin-1/2 Heisenberg model are examined within the Oguchi approximation in the presence of a random crystal-field (RCF). The RCF is either introduced with probability p or turned off with…

软凝聚态物质 · 物理学 2021-03-30 D. Sabi Takou , M. Karimou , F. Hontinfinde , E. Albayrak

Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the…

统计力学 · 物理学 2013-02-22 Suman Sinha , Pradipta Kumar Mandal