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We investigate the collective dynamics of a population of XY model-type oscillators, globally coupled via non-separable interactions that are randomly chosen from a positive or negative value, and subject to thermal noise controlled by…

适应与自组织系统 · 物理学 2022-06-29 Hyunsuk Hong , Erik Andreas Martens

Orbits in a three-dimensional potential subjected to periodic driving, V(x^i,t)=[1+m_0 sin(omega t) V_0(x^i), divide naturally into two types, regular and chaotic, between which transitions are seemingly impossible. The chaotic orbits…

天体物理学 · 物理学 2007-05-23 Balsa Terzic , Henry E. Kandrup

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche…

The Standard Vicsek Model (SVM) is a minimal nonequilibrium model of self-propelled particles that appears to capture the essential ingredients of critical flocking phenomena. In the SVM, particles tend to align with each other and form…

统计力学 · 物理学 2013-05-13 Gabriel Baglietto , Ezequiel V. Albano , Julián Candia

Voting is an important social activity for expressing public opinions. By conceptually considering a group of voting agents to be intelligent matter, the impact of real-time information on voting results is quantitatively studied by an…

统计力学 · 物理学 2026-03-16 Guanyu Xu , Jiahang Chen , Xin Zhou , Yanting Wang

We have considered a variation of the Vicsek model with vectorial noise where each one of the agents have their own noise amplitude normally distributed around a mean value, $\mu$, with standard deviation $\sigma$. First-order phase…

软凝聚态物质 · 物理学 2018-04-06 Leandro Guisandez , Gabriel Baglietto , Alejandro Rozenfeld

Dynamic hysteresis, viz., delay in switching of a bistable system on account of the finite sweep rate of the drive has been extensively studied in dynamical and thermodynamic systems. Dynamic hysteresis results from slowing of the response…

统计力学 · 物理学 2023-08-22 Satyaki Kundu , Ranjan Kumar Patel , Srimanta Middey , Bhavtosh Bansal

The majority-vote model with noise is one of the simplest nonequilibrium statistical model that has been extensively studied in the context of complex networks. However, the relationship between the critical noise where the order-disorder…

物理与社会 · 物理学 2016-09-13 Hanshuang Chen , Chuansheng Shen , Gang He , Haifeng Zhang , Zhonghuai Hou

We analyze the universality classes of phase transitions in a variety of nonlinear voter models. By mapping several models with symmetric absorbing states onto a canonical model introduced in previous studies, we confirm that they exhibit a…

物理与社会 · 物理学 2026-02-06 Jaume Llabrés , Maxi San Miguel , Raúl Toral

We study the stationary states of variants of the noisy voter model, subject to fluctuating parameters or external environments. Specifically, we consider scenarios in which the herding-to-noise ratio switches randomly and on different time…

物理与社会 · 物理学 2023-06-01 Annalisa Caligiuri , Tobias Galla

On Archimedean lattices, the Ising model exhibits spontaneous ordering. Three examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase…

统计力学 · 物理学 2010-11-24 J. C. Santos , F. W. S. Lima , K. Malarz

We analyze order-disorder phase transitions driven by noise that occur in two kinds of network models closely related to the self-propelled model proposed by Vicsek et. al. to describe the collective motion of groups of organisms…

无序系统与神经网络 · 物理学 2008-02-27 Jaime A. Pimentel , Maximino Aldana , Cristián Huepe , Hernán Larralde

We address a recently introduced model describing a system of periodically coupled nonlinear phase oscillators submitted to multiplicative white noises, wherein a ratchet-like transport mechanism arises through a symmetry-breaking…

统计力学 · 物理学 2009-10-31 S. E. Mangioni , R. R. Deza , H. S. Wio

We investigate the Majority-Vote Model with two states ($-1,+1$) and a noise $q$ on Apollonian networks. The main result found here is the presence of the phase transition as a function of the noise parameter $q$. We also studies de effect…

物理与社会 · 物理学 2015-06-05 F. W. S. Lima , André A. Moreira , Ascânio D. Araújo

We investigate theoretically the V-I characteristics and voltage noise of superconducting tunnel junctions with small critical current via the matrix-continued-fraction method. Special attention is paid to the large hysteresis in the V-I…

介观与纳米尺度物理 · 物理学 2012-12-05 Martin Žonda , Tomáš Novotný

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

凝聚态物理 · 物理学 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna

The aim of this paper is to develop tractable large deviation approximations for the empirical measure of a small noise diffusion. The starting point is the Freidlin-Wentzell theory, which shows how to approximate via a large deviation…

概率论 · 数学 2021-01-11 Paul Dupuis , Guo-Jhen Wu

Noise-induced phase transitions are common in various complex systems, from physics to biology. In this article, we investigate the emergence of crucial events in noise-induced phase transition processes and their potential significance for…

数据分析、统计与概率 · 物理学 2023-06-28 Jacob D. Baxley , David R. Lambert , Mauro Bologna , Bruce J. West , Paolo Grigolini

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

A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an…

统计力学 · 物理学 2024-10-29 Miguel Aguilar-Janita , Andres Blanco-Alonso , Nagi Khalil