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We analyze the localized phase of a general model of a directed polymer in the proximity of an interface that separates two solvents. Each monomer unit carries a charge, $\omega_n$, that determines the type (attractive or repulsive) and the…

概率论 · 数学 2007-05-23 G. Giacomin , F. L. Toninelli

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…

统计力学 · 物理学 2008-04-23 A. C. Barato , H. Hinrichsen

This article presents a new phase-field formulation for non-equilibrium interface conditions in rapid phase transformations. With a particular way of defining concentration fields, the classical sharp and diffuse (thick) interface theories…

材料科学 · 物理学 2023-04-03 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

统计力学 · 物理学 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

Critical transitions are of great interest to scientists in many fields. Most knowledge about these transitions comes from systems exhibiting the multistability of spatially uniform states. In spatially extended and, particularly, in…

斑图形成与孤子 · 物理学 2016-02-17 Hezi Yizhaq , Golan Bel

This paper provides a rigorous study of the localization transition for a Gaussian free field on $\mathbb{Z}^d$ interacting with a quenched disordered substrate that acts on the interface when the interface height is close to zero. The…

概率论 · 数学 2015-07-23 Giambattista Giacomin , Hubert Lacoin

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

统计力学 · 物理学 2026-03-24 Valentin Anfray , Hong-Yan Shih

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

统计力学 · 物理学 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

We investigate the depinning transition for driven interfaces in the random-field Ising model for various dimensions. We consider the order parameter as a function of the control parameter (driving field) and examine the effect of thermal…

统计力学 · 物理学 2009-11-07 L. Roters , S. Lubeck , K. D. Usadel

We consider general disordered models of pinning of directed polymers on a defect line. This class contains in particular the $(1+1)$--dimensional interface wetting model, the disordered Poland--Scheraga model of DNA denaturation and other…

概率论 · 数学 2007-05-23 G. Giacomin , F. L. Toninelli

We study a Langevin equation describing non-equilibrium depinning and wetting transitions. Attention is focused on short-ranged attractive substrate-interface potentials. We confirm the existence of first order depinning transitions, in the…

凝聚态物理 · 物理学 2009-11-07 F. de los Santos , M. M. Telo da Gama , Miguel A. Munoz

Quenched disorder in absorbing phase transitions can disrupt the structure and symmetry of reaction-diffusion processes, offering a more accurate mapping to real physical systems. We developed a temporally quenched disorder method in the…

统计力学 · 物理学 2026-02-25 Yanyang Wang , Yuxiang Yang , Wei Li

We investigate the critical behavior of a reaction-diffusion system exhibiting a continuous absorbing-state phase transition. The reaction-diffusion system strictly conserves the total density of particles, represented as a non-diffusive…

统计力学 · 物理学 2009-10-31 Romualdo Pastor-Satorras , Alessandro Vespignani

Experiments of periodically sheared colloidal suspensions or soft amorphous solids display a transition from reversible to irreversible particle motion that, when analysed stroboscopically in time, is interpreted as an absorbing phase…

软凝聚态物质 · 物理学 2022-03-14 Romain Mari , Eric Bertin , Cesare Nardini

We study the mean-field version of a model proposed by Leschhorn to describe the depinning transition of interfaces in random media. We show that evolution equations for the distribution of forces felt by the interface sites can be written…

统计力学 · 物理学 2007-05-23 J. Vannimenus , B. Derrida

We present the microscopic equation of growing interface with quenched noise for the Tang and Leschhorn model [{\em Phys. Rev.} {\bf A 45}, R8309 (1992)]. The evolution equations for the mean heigth and the roughness are reached in a simple…

统计力学 · 物理学 2015-06-25 L. A. Braunstein , R. C. Buceta , A. Diaz-Sanchez

We present numerical evidence that there are two distinct universality classes characterizing driven interface roughening in the presence of quenched disorder. The evidence is based on the behavior of $\lambda$, the coefficient of the…

凝聚态物理 · 物理学 2009-10-22 LAN Amaral , A-L Barabasi , HE Stanley

Measurement-induced phase transitions are nonequilibrium transitions between phases characterized by distinct entanglement scaling behaviors, driven by the competition between unitary dynamics and measurements. Despite recent numerical…

统计力学 · 物理学 2026-05-08 Yunxiang Liao , Max Matheussen , Xinghai Zhang

Stochastic processes with absorbing states feature remarkable examples of non-equilibrium universal phenomena. While a broad understanding has been progressively established in the classical regime, relatively little is known about the…

统计力学 · 物理学 2016-06-23 M. Marcuzzi , M. Buchhold , S. Diehl , I. Lesanovsky

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

数值分析 · 数学 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu