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The recently proposed Langevin equation, aimed to capture the relevant critical features of stochastic sandpiles, and other self-organizing systems is studied numerically. This equation is similar to the Reggeon field theory, describing…

统计力学 · 物理学 2016-08-31 J. J. Ramasco , M. A. Munoz , C. A. da Silva Santos

The pinning-depinning phase transitions of interfaces for two classes of discrete elastic-string models are investigated numerically. In the (1+1)-dimensions, we revisit these two elastic-string models with slight modification to growth…

统计力学 · 物理学 2025-01-31 Yongxin Wu , Hui Xia

Disordered pinning models deal with the (de)localization tran- sition of a polymer in interaction with a heterogeneous interface. In this paper, we focus on two models where the inhomogeneities at the interface are not independent but given…

概率论 · 数学 2010-12-16 Julien Poisat

We study the local scaling properties of driven interfaces in disordered media modeled by the Edwards-Wilkinson equation with quenched noise. We find that, due to the super-rough character of the interface close to the depinning transition,…

凝聚态物理 · 物理学 2009-10-30 Juan M. Lopez , Miguel A. Rodriguez

We report and characterize the emergence of a noise-induced state of quenched disorder in a generic model describing a dense sheet of active polar disks with non-isotropic rotational and translational dynamics. In this state, randomly…

软凝聚态物质 · 物理学 2023-04-10 Guozheng Lin , Zhangang Han , Amir Shee , Cristián Huepe

The effects of quenched disorder on nonequilibrium phase transitions in the directed percolation universality class are revisited. Using a strong-disorder energy-space renormalization group, it is shown that for any amount of disorder the…

统计力学 · 物理学 2008-09-03 J. A. Hoyos

We study a model of two-dimensional interacting monomers which has two symmetric absorbing states and exhibits two kinds of phase transition; one is an order-disorder transition and the other is an absorbing phase transition. Our focus is…

统计力学 · 物理学 2012-05-01 Su-Chan Park

We present a general field-theoretic strategy to analyze three connected families of continuous phase transitions which occur in nonequilibrium steady-states. We focus on transitions taking place between an active state and one absorbing…

统计力学 · 物理学 2007-05-23 F. van Wijland

We show that the critical behavior of a driven interface, depinned from quenched random impurities, depends on the isotropy of the medium. In anisotropic media the interface is pinned by a bounding (conducting) surface characteristic of a…

凝聚态物理 · 物理学 2009-10-22 L. -H. Tang , M. Kardar , D. Dhar

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

软凝聚态物质 · 物理学 2020-03-04 Christopher Ness , Michael E. Cates

Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless configuration which the dynamics cannot leave,…

We study systems with two symmetric absorbing states, such as the voter model and variations of it, which have been broadly used as minimal neutral models in genetics, population ecology, sociology, etc. We analyze the effects of a key…

统计力学 · 物理学 2013-06-28 Claudio Borile , Amos Maritan , Miguel A. Muñoz

The Langevin description of systems with two symmetric absorbing states yields a phase diagram with three different phases (disordered and active, ordered and active, absorbing) separated by critical lines belonging to three different…

统计力学 · 物理学 2020-08-11 Ahmadreza Azizi , Michel Pleimling

We report on a linear Langevin model that describes the evolution of the roughness of two interfaces that move towards each other and are coupled by a diffusion field. This model aims at describing the closing of the gap between two…

材料科学 · 物理学 2022-07-27 Bastien Marguet , F. D. A. Aarão Reis , Olivier Pierre-Louis

The propagation and roughening of a fluid-gas interface through a disordered medium in the case of capillary driven spontaneous imbibition is considered. The system is described by a conserved (model B) phase-field model, with the structure…

无序系统与神经网络 · 物理学 2009-10-31 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

We present a field theoretic renormalization group study for the critical behaviour of a uniformly driven diffusive system with quenched disorder, which is modelled by different kinds of potential barriers between sites. Due to their…

统计力学 · 物理学 2015-06-25 V. Becker , H. K. Janssen

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…

统计力学 · 物理学 2009-10-30 WonMuk Hwang , Sungchul Kwon , Heungwon Park , Hyunggyu Park

We study the dynamics of an interface (active domain) between different absorbing regions in models with two absorbing states in one dimension; probabilistic cellular automata models and interacting monomer-dimer models. These models…

统计力学 · 物理学 2009-10-31 Sungchul Kwon , WonMuk Hwang , Hyunggyu Park

The thin interface limit aims at minimizing the effects arising from a numerical interface thickness, inherent in diffuse interface models of solidification and microstructure evolution such as the phase field model. While the original…

材料科学 · 物理学 2020-03-18 Amol Subhedar , Peter K. Galenko , Fathollah Varnik

The driven transport of plastic systems in various disordered backgrounds is studied within mean field theory. Plasticity is modeled using non-convex interparticle potentials that allow for phase slips. This theory most naturally describes…

无序系统与神经网络 · 物理学 2009-11-10 Karl Saunders , J. M. Schwarz , M. Cristina Marchetti , A. Alan Middleton