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A $(1+1)$ dimensional model of directed percolation is introduced where sites on a tilted square lattice are connected to their neighbours by $N$ channels, operated at both ends by valves which are either open or closed. The spreading fluid…

Statistical Mechanics · Physics 2010-10-12 Urna Basu , Mahashweta Basu , P. K. Mohanty

We construct a driven sandpile slope model and study it by numerical simulations in one dimension. The model is specified by a threshold slope $\sigma_c\/$, a parameter $\alpha\/$, governing the local current-slope relation (beyond…

Condensed Matter · Physics 2009-10-22 Sujan K. Dhar , Rahul Pandit , Sriram Ramaswamy

It is known that diffusion provokes substantial changes in continuous absorbing phase transitions. Conversely, its effect on discontinuous transitions is much less understood. In order to shed light in this direction, we study the inclusion…

Statistical Mechanics · Physics 2014-09-25 Carlos E. Fiore , Gabriel T. Landi

We study an active random walker model in which a particle's motion is determined by a self-generated field. The field encodes information about the particle's path history. This leads to either self-attractive or self-repelling behavior.…

Statistical Mechanics · Physics 2009-11-11 R. Grima

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…

Statistical Mechanics · Physics 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

A sweep through a quantum phase transition by means of a time-dependent external parameter (e.g., pressure) entails non-equilibrium phenomena associated with a break-down of adiabaticity: At the critical point, the energy gap vanishes and…

Quantum Physics · Physics 2015-05-18 Ralf Schützhold

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

Statistical Mechanics · Physics 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

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,…

Robust phases of matter, which remain stable under small perturbations, are of fundamental importance in statistical physics and quantum information. Recent advances in interactive quantum dynamics have led to renewed interest in…

Statistical Mechanics · Physics 2026-01-28 Hyunsoo Ha , David A. Huse , Rhine Samajdar

An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method,…

Statistical Mechanics · Physics 2010-10-20 Mohammad Khorrami , Amir Aghamohammadi

We study the pattern dynamics in a reaction diffusion model of the activator--inhibitor type in the oscillatory regime. We consider finite systems with partially absorptive boundary conditions analizing examples in different geometries in…

Statistical Mechanics · Physics 2007-05-23 S. Bouzat , H. S. Wio

In this paper, we study boundary-induced phase transitions in a particle non-conserving asymmetric simple exclusion process with open boundaries. Using boundary layer analysis, we show that the key signatures of various bulk phase…

Statistical Mechanics · Physics 2009-11-11 Sutapa Mukherji , Vivek Mishra

A class of models of driven diffusive systems which is shown to exhibit phase separation in $d=1$ dimensions is introduced. Unlike all previously studied models exhibiting similar phenomena, here the phase separated state is fluctuating in…

Statistical Mechanics · Physics 2009-11-07 Y. Kafri , E. Levine , D. Mukamel , G. M. Schutz , R. D. Willmann

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

Driven particle transport in crowded and confining environments is fundamental to diverse phenomena across physics, chemistry, and biology. A main objective in studying such systems is to identify novel emergent states and phases of…

Statistical Mechanics · Physics 2026-02-23 Annika Vonhusen , Sören Schweers , Artem Ryabov , Philipp Maass

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…

Soft Condensed Matter · Physics 2022-03-14 Romain Mari , Eric Bertin , Cesare Nardini

In previous papers we have introduced a natural nonequilibrium free energy by considering the functional describing the large fluctuations of stationary nonequilibrium states. While in equilibrium this functional is always convex, in…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We review the currently known universality classes of continuous phase transitions to absorbing states in nonequilibrium systems and present results of simulations and arguments to show how the blockades introduced by different particle…

Statistical Mechanics · Physics 2009-11-07 Geza Odor , Nora Menyhard

We study non-equilibrium analogues of surface phase transitions in a minimal model of active particles in contact with a purely repulsive potential barrier that mimics a thin porous membrane. Under conditions of bulk motility-induced phase…

Statistical Mechanics · Physics 2021-12-15 Francesco Turci , Nigel B. Wilding

We present a comprehensive study of the phase transitions in the single-field reaction-diffusion stochastic systems with field-dependent mobility of a power-low form and the internal fluctuations. Using variational principles and mean-field…

Statistical Mechanics · Physics 2015-05-13 V. O. Kharchenko