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We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the systems critical behaviour close to the critical point of the…

统计力学 · 物理学 2022-10-21 Claudio Maggi , Matteo Paoluzzi , Andrea Crisanti , Emanuela Zaccarelli , Nicoletta Gnan

We study the critical behavior of a general class of cubic-symmetric spin systems in which disorder preserves the reflection symmetry $s_a\to -s_a$, $s_b\to s_b$ for $b\not= a$. This includes spin models in the presence of random…

统计力学 · 物理学 2011-07-19 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

统计力学 · 物理学 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

We investigate the critical behavior of the Kinetic Ising model with non-reciprocal nearest neighbors interactions. A finite-size scaling study suggests that the model belongs to the Ising universality class. We characterize the…

统计力学 · 物理学 2024-08-22 Luca Di Carlo

The random-field Ising model (RFIM) is one of the simplest statistical-mechanical models that captures the anomalous irreversible collective response seen in a wide range of physical, biological, or socio-economic situations in the presence…

无序系统与神经网络 · 物理学 2018-04-09 Ivan Balog , Matthieu Tissier , Gilles Tarjus

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

强关联电子 · 物理学 2018-11-06 A. O. Sorokin

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

无序系统与神经网络 · 物理学 2007-05-23 P. O. Mari , I. A. Campbell

We introduce varying spin strengths to the Ising model, a central pillar of statistical physics. With inhomogeneous physical systems in mind, but also anticipating interdisciplinary applications, we present the model on network structures…

统计力学 · 物理学 2020-10-27 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

The name Ising has come to stand not only for a specific model, but for an entire universality class - arguably the most important such class - in the theory of critical phenomena. I review several examples, both in and out of equilibrium,…

统计力学 · 物理学 2007-05-23 Ronald Dickman

We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed…

统计力学 · 物理学 2010-12-07 Nikolaos G. Fytas , Panagiotis E. Theodorakis

We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class by qualitatively modifying the nature of their critical points. We consider power-law decaying spin losses with a Lindbladian…

统计力学 · 物理学 2022-08-17 Jamir Marino

The spherical model is a popular solvable model and has been applied to describe several critical phenomena such as the ferromagnetic transition, Bose-Einstein condensation, spin-glass transition, glass transition, jamming transition, and…

统计力学 · 物理学 2022-09-13 Harukuni Ikeda

We report extensive Monte Carlo simulations of the Widom-Rowlinson lattice model in two and three dimensions. Our results yield precise values for the critical activities and densities, and clearly place the critical behavior in the Ising…

chem-ph · 物理学 2016-08-31 Ronald Dickman , George Stell

Lattice models allow for a computationally efficient investigation of motility-induced phase separation (MIPS) compared to off-lattice systems. Simulations are less demanding and thus bigger systems can be accessed with higher accuracy and…

统计力学 · 物理学 2021-01-26 Florian Dittrich , Thomas Speck , Peter Virnau

We investigate magnetic properties of the ferromagnetic Ising model on square-triangle tilings to explore how the hyperuniformity, which characterizes long-range behavior of the point pattern, influences critical phenomena where long-range…

统计力学 · 物理学 2025-09-23 Akihisa Koga , Shiro Sakai

We study in detail the active Ising model, a stochastic lattice gas where collective motion emerges from the spontaneous breaking of a discrete symmetry. On a 2d lattice, active particles undergo a diffusion biased in one of two possible…

统计力学 · 物理学 2015-10-12 A. P. Solon , J. Tailleur

Identifying the universality class of critical active phase transitions has been the subject of recent interest and controversy. Resolving these controversies will require robust numerical investigations to determine whether active critical…

统计力学 · 物理学 2025-11-14 Jiechao Feng , Daniel Evans , Ahmad K. Omar

We investigate the static and dynamic critical behaviour of a uniformly driven bilayer Ising lattice gas at half filling. Depending on the strength of the interlayer coupling J, phase separation occurs across or within the two layers. The…

统计力学 · 物理学 2009-11-07 U. C. Tauber , B. Schmittmann , R. K. P. Zia

Experiments and computer simulation studies have revealed existence of rich dynamics in the orientational relaxation of molecules in confined systems such as water in reverse micelles, cyclodextrin cavities and nano-tubes. Here we introduce…

统计力学 · 物理学 2015-05-18 Rajib Biswas , Biman Bagchi

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

无序系统与神经网络 · 物理学 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn
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