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We present a general framework for incorporating non-reciprocal interactions into the Ising model with Glauber dynamics, without requiring multiple species. We then focus on a model with vision-cone type interactions. We solve it in a fully…

统计力学 · 物理学 2025-05-09 Adrià Garcés , Demian Levis

We address a mean-field zero-temperature Ginzburg-Landau, or \phi^4, model subjected to quenched additive noise, which has been used recently as a framework for analyzing collective effects induced by diversity. We first make use of a…

统计力学 · 物理学 2015-05-20 Niko Komin , Lucas Lacasa , Raul Toral

I investigate the quantum phase transition of the transverse-field quantum Ising model in which nearest neighbors are defined according to the connectivity of scale-free networks. Using a continuous-time quantum Monte Carlo simulation…

统计力学 · 物理学 2015-06-23 Hangmo Yi

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

In a recent Letter we discussed the fact that large-$N$ expansions and computer simulations indicate that the universality class of the finite temperature chiral symmetry restoration transition in the 3D Gross-Neveu model is mean field…

高能物理 - 格点 · 物理学 2015-06-25 A. Kocic , J. B. Kogut

We write exact renormalization-group recursion relations for a ferromagnetic Ising model on the diamond hierarchical lattice with an aperiodic distribution of exchange interactions according to a class of generalized two-letter Fibonacci…

统计力学 · 物理学 2015-06-25 S. T. R. Pinho , T. A. S. Haddad , S. R. Salinas

We consider the $d$-dimensional transverse-field Ising model with power-law interactions $J/r^{d+\sigma}$ in the presence of a noisy longitudinal field with zero average. We study the longitudinal-magnetization dynamics of an initial…

强关联电子 · 物理学 2018-07-12 Jad C. Halimeh , Matthias Punk , Francesco Piazza

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

统计力学 · 物理学 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We study the prethermal dynamics of an interacting quantum field theory with a N-component order parameter and $O(N)$ symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the…

统计力学 · 物理学 2017-04-05 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

We study the propagation of chaos and relaxation to Gibbs equilibrium for a system of $N$ classical Brownian particles with weak mean-field interactions. It is well known that propagation of chaos holds uniformly in time with rate…

偏微分方程分析 · 数学 2025-10-14 Armand Bernou , Mitia Duerinckx

We study the coordination game with an aspiration-driven update rule in regular graphs and scale-free networks. We prove that the model coincides exactly with the Ising model and shows a phase transition at the critical selection noise when…

统计力学 · 物理学 2021-09-29 Wonhee Jeong , Unjong Yu

In several real \emph{Multi-Agent Systems} (MAS), it has been observed that only weaker forms of\emph{metastable consensus} are achieved, in which a large majority of agents agree on some opinion while other opinions continue to be…

分布式、并行与集群计算 · 计算机科学 2024-03-05 Francesco d'Amore , Andrea Clementi , Emanuele Natale

The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temperature $\beta_{\mathrm{c}}$, which is determined by the…

数学物理 · 物理学 2025-09-01 Yoshinori Kamijima , Akira Sakai

In the [BCS] paper the theory of superconductivity was developed for the BCS model, in which the (instantaneous) interaction is only between fermions of opposite momentum and spin. Such model was analyzed by variational methods, finding…

强关联电子 · 物理学 2015-06-25 Vieri Mastropietro

In a three state kinetic exchange opinion formation model, the effect of extreme switches was considered in a recent paper. In the present work, we study the same model with disorder. Here disorder implies that negative interactions may…

统计力学 · 物理学 2023-05-08 Kathakali Biswas , Parongama Sen

Synchronization of stochastic phase-coupled oscillators is known to occur but difficult to characterize because sufficiently complete analytic work is not yet within our reach, and thorough numerical description usually defies all…

统计力学 · 物理学 2009-11-11 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

The order-disorder phase transition is a fascinating phenomenon in opinion dynamics models within sociophysics. This transition emerges due to noise parameters, interpreted as social behaviors such as anticonformity and independence…

Understanding how group interactions influence opinion dynamics is fundamental to the study of collective behavior. In this work, we propose and study a model of opinion dynamics on $d$-uniform hypergraphs, where individuals interact…

物理与社会 · 物理学 2025-11-18 Thierry Njougouo , Timoteo Carletti , Elio Tuci

The interplay of correlated spatial modulation and symmetry breaking leads to quantum critical phenomena intermediate between those of the clean and randomly disordered cases. By performing a detailed analytic and numerical case study of…

无序系统与神经网络 · 物理学 2022-08-12 P. J. D. Crowley , C. R. Laumann , A. Chandran

We study the 1d Ising model with long-range interactions decaying as $1/r^{1+s}$. The critical model corresponds to a family of 1d conformal field theories (CFTs) whose data depends nontrivially on $s$ in the range $1/2\leq s\leq 1$. The…

高能物理 - 理论 · 物理学 2025-05-28 Dario Benedetti , Edoardo Lauria , Dalimil Mazáč , Philine van Vliet