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We consider the Ising model for two interacting groups of spins embedded in an Erd\"{o}s-R\'{e}nyi random graph. The critical properties of the system are investigated by means of extensive Monte Carlo simulations. Our results evidence the…

统计力学 · 物理学 2010-09-02 Elena Agliari , Raffaella Burioni , Paolo Sgrignoli

We have investigated the anomalous scaling behaviour of the Ising model on small-world networks based on 2- and 3-dimensional lattices using Monte Carlo simulations. Our main result is that even at low $p$, the shift in the critical…

无序系统与神经网络 · 物理学 2007-05-23 K. A. Hawick , H. A. James

The critical behaviour of the randomly spin-diluted Ising model in two space dimensions is investigated by a new method which combines a grand ensemble approach to disordered systems proposed by Morita with the phenomenological…

凝聚态物理 · 物理学 2009-10-22 R. Kühn

We perform a high-statistics simulation of the three-dimensional randomly dilute Ising model on cubic lattices $L^3$ with $L\le 256$. We choose a particular value of the density, x=0.8, for which the leading scaling corrections are…

统计力学 · 物理学 2009-11-10 P. Calabrese , V. Martin-Mayor , A. Pelissetto , E. Vicari

The magnetic properties and critical behavior of both ferromagnetic pure and metallic nanoparticles having concurrently atomic disorder, dilution and competing interactions, are studied in the framework of an Ising model. We have used both…

材料科学 · 物理学 2011-08-26 E. A. Velásquez , J. Mazo-Zuluaga , Johans Restrepo , Òscar Iglesias

We study the thermodynamic and magnetic properties of an Ising bilayer ferrimagnet. The system is composed of two interacting non-equivalent planes in which the intralayer couplings are ferromagnetic while the interlayer interactions are…

统计力学 · 物理学 2017-09-11 Ian Jordy Lopez Diaz , Nilton da Silva Branco

This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium. The experimental protocol that we have chosen is the following: the system is prepared…

统计力学 · 物理学 2007-05-23 Christophe Chatelain

Critical behaviour study in magnetism is important owing to its application for understanding the nature of underlying spin-spin interactions by determining the critical parameters in the vicinity of a phase transition. In this article, we…

材料科学 · 物理学 2023-07-21 Afsar Ahmed , Arnab Bhattacharya , Samik DuttaGupta , I. Das

We investigate as a member of the Ising universality class the Next-Nearest Neighbour Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility…

统计力学 · 物理学 2007-05-23 Melanie Schulte , Caroline Drope

We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo (HMC) algorithm, to perform a precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. After…

强关联电子 · 物理学 2021-11-01 Johann Ostmeyer

We study behaviour of dynamical critical exponents of the two-dimensional Ising model with a line of defects. Simulations done at an early time (first 100 Monte Carlo steps) reveal that the critical exponent of Janssen et al (Z. Phys. B 73…

统计力学 · 物理学 2009-10-31 C. S. Simoes , J. R. Drugowich de Felicio

To understand the nature of magnetic phase transition in nano-crystalline Pr$_2$CoMnO$_6$, in present study we have investigated the critical behavior and magnetocaloric effect. To estimate the critical exponents, various methods have been…

强关联电子 · 物理学 2019-02-26 Ilyas Noor Bhatti , Imtiaz Noor Bhatti , Rabindra Nath Mahato , M. A. H. Ahsan

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

统计力学 · 物理学 2009-06-03 A. Mobius , U. K. Roessler

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior and universality for the isotropic-nematic phase transition in a system of long straight rigid rods of length $k$ ($k$-mers) on…

统计力学 · 物理学 2009-11-13 D. A. Matoz-Fernandez , D. H. Linares , A. J. Ramirez-Pastor

Quantum Heisenberg ferromagnets with long-range interactions decayin as $1/r^p$ in one and two dimensions are investigated by means of the Green's function method. It is shown that there exists a finite-temperature phase transition in the…

凝聚态物理 · 物理学 2009-10-28 Hiroki Nakano , Minoru Takahashi

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order…

统计力学 · 物理学 2018-02-07 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco , Alessandro Tartaglia

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

We perform the high-performance computation of the ferromagnetic Ising model on the pyrochlore lattice. We determine the critical temperature accurately based on the finite-size scaling of the Binder ratio. Comparing with the data on the…

计算物理 · 物理学 2017-02-03 Konstantin Soldatov , Konstantin Nefedev , Yukihiro Komura , Yutaka Okabe

Renormalization group theory does not restrict the from of continuous variation of critical exponents which occurs in presence of a marginal operator. However, the continuous variation of critical exponents, observed in different contexts,…

统计力学 · 物理学 2016-10-28 N. Khan , P. Sarkar , A. Midya , P. Mandal , P. K. Mohanty

The overlap (inner product) between the ground-state eigenvectors with proximate interaction parameters, the so-called fidelity, plays a significant role in the quantum-information theory. In this paper, the critical behavior of the…

统计力学 · 物理学 2015-06-16 Yoshihiro Nishiyama
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