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Sharp two- and three-dimensional phase transitional magnetization curves are obtained by an iterative renormalization-group coupling of Ising chains, which are solved exactly. The chains by themselves do not have a phase transition or…

统计力学 · 物理学 2021-06-02 Ibrahim Kecoglu , A. Nihat Berker

Bootstrap percolation is a well-known model to study the spreading of rumors, new products or innovations on social networks. The empirical studies show that community structure is ubiquitous among various social networks. Thus, studying…

物理与社会 · 物理学 2015-06-18 Chong Wu , Shenggong Ji , Rui Zhang , Liujun Chen , Jiawei Chen , Xiaobin Li , Yanqing Hu

The purpose of this article is to present a detailed numerical study of the second-order phase transition in the 2D Ising model. The importance of correctly presenting elementary theory of phase transitions, computational algorithms and…

统计力学 · 物理学 2016-10-04 E. Ibarra-García-Padilla , C. G. Malanche-Flores , F. J. Poveda-Cuevas

There are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of chain structures, which exhibit unexpected behaviors quite similar to the first and second order phase transition, which could be…

统计力学 · 物理学 2017-12-06 S. M. de Souza , Onofre Rojas

This work considers an Ising model on the Apollonian network, where the exchange constant $J_{i,j}\sim1/(k_ik_j)^\mu$ between two neighboring spins $(i,j)$ is a function of the degree $k$ of both spins. Using the exact geometrical…

统计力学 · 物理学 2009-11-13 R. F. S. Andrade , J. S. Andrade , H. J. Herrmann

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

强关联电子 · 物理学 2016-04-29 Stephan Hesselmann , Stefan Wessel

In order to investigate the role of the weight in weighted networks, the collective behavior of the Ising system on weighted regular networks is studied by numerical simulation. In our model, the coupling strength between spins is inversely…

统计力学 · 物理学 2013-10-01 Menghui Li , Ying Fan , Jinshan Wu , Zengru Di

The percolation study offers valuable insights into the characteristics of phase transition, shedding light on the underlying mechanisms that govern the formation of global connectivity within the system. We explore the percolation phase…

核理论 · 物理学 2025-04-02 Ranran Guo , Xiaobing Li , Rui Wang , Shiyang Chen , Yuanfang Wu , Zhiming Li

Many ecological populations are known to display a cyclic behavior with period 2. Previous work has shown that when a metapopulation (group of coupled populations) with such dynamics is allowed to interact via nearest neighbor dispersal in…

统计力学 · 物理学 2025-05-14 Davi Arrais Nobre , Karen C. Abbott , Jonathan Machta , Alan Hastings

We consider the Ising model on the two-dimensional square lattice where on each horizontal line, called "layer", the interaction is given by a ferromagnetic Kac potential with coupling strength $J_\gamma(x,y)=\gamma J(\gamma(x-y))$, where…

In this work, we have studied the Ising model with one- and two-spin flip competing dynamics on a two-dimensional additive small-world network (A-SWN). The system model consists of a $L\times L$ square lattice where each site of the lattice…

统计力学 · 物理学 2023-05-03 R. A. Dumer , M. Godoy

We introduce a simple model of a growing system with $m$ competing communities. The model corresponds to the phenomenon of defeats suffered by social groups living in isolation. A nonequilibrium phase transition is observed when at critical…

物理与社会 · 物理学 2011-03-15 Julian Sienkiewicz , Janusz A. Holyst

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

软凝聚态物质 · 物理学 2023-01-09 A. Gama Goicochea , Z. Nussinov

The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the…

无序系统与神经网络 · 物理学 2009-11-07 Carlos P. Herrero

In this paper, we study the entanglement between two-neighboring sites and the rest of the system in a simple quantum phase transition of 1D transverse field Ising model. We find that the entanglement shows interesting scaling and singular…

量子物理 · 物理学 2009-11-13 Shi-Quan Su , Jun-Liang Song , Shi-Jian Gu

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

统计力学 · 物理学 2023-05-03 Michael Grady

Within the framework of a realistic multi-band p-d-model, we derived an effective Hamiltonian to describe the exchange interaction effects near the spin crossover in magnetic Mott-Hubbard insulators under pressure. It is shown that…

强关联电子 · 物理学 2017-10-18 Alexander I. Nesterov , Yuri S. Orlov , Sergey G. Ovchinnikov , Sergey V. Nikolaev

We introduce a model for the formation of social networks, which takes into account the homophily or the tendency of individuals to associate and bond with similar others, and the mechanisms of global and local attachment as well as tie…

物理与社会 · 物理学 2019-03-28 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

The usual interaction energy of the random field Ising model in statistical physics is modified by complementing the random field by added to the energy of the usual Ising model a nonlinear term S^n were S is the sum of the neighbor spins,…

计算物理 · 物理学 2011-06-29 M. A. Sumour , M. A. Radwan , M. M. Shabat

We study the phase transition of the Ising model in networks with core-periphery structures. By Monte Carlo simulations, we show that prior to the order-disorder phase transition the system organizes into an inhomogeneous intermediate phase…

统计力学 · 物理学 2018-06-12 Hanshuang Chen , Haifeng Zhang , Chuansheng Shen