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Measurement-driven transitions between extensive and sub-extensive scaling of the entanglement entropy receive interest as they illuminate the intricate physics of thermalization and control in open interacting quantum systems. Whilst this…

Statistical Mechanics · Physics 2020-11-25 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

Heterogeneous adoption thresholds exist widely in social contagions, but were always neglected in previous studies. We first propose a non-Markovian spreading threshold model with general adoption threshold distribution. In order to…

Physics and Society · Physics 2016-01-13 Wei Wang , Ming Tang , Panpan Shu , Zhen Wang

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

Condensed Matter · Physics 2008-02-03 Subir Sachdev

Phase transitions mark qualitative reorganizations of collective behavior, yet identifying their boundaries remains challenging whenever analytic solutions are absent and conventional simulations fail. Here we introduce learnability as a…

Materials Science · Physics 2025-10-10 Şener Özönder

The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA --> (m+k)A, nA --> (n-l)A are studied systematically in one space dimension within a new family of models. Four universality classes of…

Statistical Mechanics · Physics 2009-11-07 Julien Kockelkoren , Hugues Chaté

We study in further detail particle models displaying a boundary-induced absorbing state phase transition [Phys. Rev. E. {\bf 65}, 046104 (2002) and Phys. Rev. Lett. {\bf 100}, 165701 (2008)] . These are one-dimensional systems consisting…

Statistical Mechanics · Physics 2009-04-25 A. C. Barato , J. A. Bonachela , C. E. Fiore , H. Hinrichsen , M. A. Muñoz

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…

Physics and Society · Physics 2026-02-06 Jaume Llabrés , Maxi San Miguel , Raúl Toral

The universal scaling behavior is studied for nonequilibrium transport through a quantum dot. To describe the dot we use the standard Anderson impurity model and use the non-equilibrium non-crossing approximation in the limit of infinite…

Strongly Correlated Electrons · Physics 2015-05-14 P. Roura-Bas

Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is characterized by nonuniversal critical exponents, which vary…

Condensed Matter · Physics 2009-10-28 Ronald Dickman

A two-offspring branching annihilating random walk model, with finite reaction rates, is studied in one-dimension. The model exhibits a transition from an active to an absorbing phase, expected to belong to the $DP2$ universality class…

Statistical Mechanics · Physics 2009-11-10 Dexin Zhong , Daniel ben-Avraham , Miguel A. Munoz

We investigate the generalized contact process with two absorbing states in one space dimension by means of large-scale Monte-Carlo simulations. Treating the creation rate of active sites between inactive domains as an independent parameter…

Statistical Mechanics · Physics 2010-06-22 Man Young Lee , Thomas Vojta

Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the scaling behaviors of higher-order gaps in the largest…

Statistical Mechanics · Physics 2024-11-01 Sheng Fang , Qing Lin , Jun Meng , Bingsheng Chen , Jan Nagler , Youjin Deng , Jingfang Fan

We study nonequilibrium dynamical models with two absorbing states: interacting monomer-dimer models, probabilistic cellular automata models, nonequilibrium kinetic Ising models. These models exhibit a continuous phase transition from an…

Statistical Mechanics · Physics 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

We study the second-order phase transition in the $d$-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$. For $s$ below some known value $s_*$, the transition is described by a conformal…

High Energy Physics - Theory · Physics 2017-08-24 Connor Behan , Leonardo Rastelli , Slava Rychkov , Bernardo Zan

Kinetic facilitated models and the Mode Coupling Theory (MCT) model B are within those systems known to exhibit a discontinuous dynamical transition with a two step relaxation. We consider a general scaling approach, within mean field…

Statistical Mechanics · Physics 2016-05-26 Antonio de Candia , Annalisa Fierro , Antonio Coniglio

We show that models of inflection point inflation exhibit a phase transition from a region in parameter space where they are of large field type to a region where they are of small field type. The phase transition is between a universal…

High Energy Physics - Theory · Physics 2009-06-25 Nissan Itzhaki , Ely D. Kovetz

In this work a symmetry of universal finite-size scaling functions under a certain anisotropic scale transformation is postulated. This transformation connects the properties of a finite two-dimensional system at criticality with…

Statistical Mechanics · Physics 2009-11-07 Alfred Hucht

We demonstrate that absorbing phase transitions in one dimension may be induced by the dynamics of a single site. As an example we consider a one-dimensional model of diffusing particles, where a single site at the boundary evolves…

Statistical Mechanics · Physics 2008-04-23 A. C. Barato , H. Hinrichsen

We review connections between phase transitions in high-dimensional combinatorial geometry and phase transitions occurring in modern high-dimensional data analysis and signal processing. In data analysis, such transitions arise as abrupt…

Statistics Theory · Mathematics 2015-05-13 David L. Donoho , Jared Tanner
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