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The absorbing-state transition in the three-dimensional contact process with and without quenched randomness is investigated by means of Monte-Carlo simulations. In the clean case, a reweighting technique is combined with a careful…

Statistical Mechanics · Physics 2012-12-03 Thomas Vojta

In the present paper, the connection between surface order-disorder phase transitions and the percolating properties of the adsorbed phase has been studied. For this purpose, four lattice-gas models in presence of repulsive interactions…

Computational Physics · Physics 2009-11-13 M. Cecilia Gimenez , Felix Nieto , Antonio J. Ramirez-Pastor

Extremal dynamics represents a path to self-organized criticality in which the order parameter is tuned to a value of zero. The order parameter is associated with a phase transition to an absorbing state. Given a process that exhibits a…

Statistical Mechanics · Physics 2009-11-10 Ronald Dickman , Guilherme J. M. Garcia

Absorbing phase transition in restricted exclusion processes are characterized by simple integer exponents. We show that this critical behaviour flows to the directed percolation (DP) universality class when particle conservation is broken…

Statistical Mechanics · Physics 2012-12-18 Urna Basu , P. K. Mohanty

A granular system confined in a quasi two-dimensional box that is vertically vibrated can transit to an absorbing state in which all particles bounce vertically in phase with the box, with no horizontal motion. In principle, this state can…

Statistical Mechanics · Physics 2015-06-18 Baptiste Néel , Ignacio Rondini , Alex Turzillo , Nicolás Mujica , Rodrigo Soto

The motility-induced phase separation exhibited by active particles with repulsive interactions is well known. We show that the interaction softness of active particles destabilizes the highly ordered dense phase, leading to the formation…

Soft Condensed Matter · Physics 2022-09-21 Monika Sanoria , Raghunath Chelakkot , Amitabha Nandi

Many non-equilibrium systems display dynamic phase transitions from active to absorbing states, where fluctuations cease entirely. Based on a field theory representation of the master equation, the critical behavior can be analyzed by means…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber

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 discuss an active phase field crystal (PFC) model that describes a mixture of active and passive particles. First, a microscopic derivation from dynamical density functional theory (DDFT) is presented that includes a systematic treatment…

Soft Condensed Matter · Physics 2022-10-26 Michael te Vrugt , Max Philipp Holl , Aron Koch , Raphael Wittkowski , Uwe Thiele

We introduce and study a non-conserving sandpile model, the autonomously adapting sandpile (AAS) model, for which a site topples whenever it has two or more grains, distributing three or two grains randomly on its neighboring sites,…

Disordered Systems and Neural Networks · Physics 2020-01-29 Marvin Göbel , Claudius Gros

We explore phase separation and kinetic arrest in a model active colloidal system consisting of self-propelled, hard-core particles with nonconvex shapes. The passive limit of the model, namely cross-shaped particles on a square lattice,…

Soft Condensed Matter · Physics 2020-05-11 Carl Merrigan , Kabir Ramola , Rakesh Chatterjee , Nimrod Segall , Yair Shokef , Bulbul Chakraborty

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

Dynamic properties of a one-dimensional probabilistic cellular automaton are studied by monte-carlo simulation near a critical point which marks a second-order phase transition from a active state to a effectively unique absorbing state.…

Statistical Mechanics · Physics 2009-10-30 Pratip Bhattacharyya

We analyse a one-dimensional model of hard particles, within ensembles of trajectories that are conditioned (or biased) to atypical values of the time-averaged dynamical activity. We analyse two phenomena that are associated with these…

Statistical Mechanics · Physics 2015-11-18 Ian R. Thompson , Robert L. Jack

We study coupled Gauss maps in one dimension and observe a transition to band periodic state with 2 bands. This is a periodic state with period-2 in a coarse-grained sense. This state does not show any long-range order in space. We compute…

Dynamical Systems · Mathematics 2022-08-29 Sumit S. Pakhare , Prashant M. Gade

We consider N run and tumble particles in one dimension interacting via a linear 1D Coulomb potential, an active version of the rank diffusion problem. It was solved previously for N = 2 leading to a stationary bound state in the attractive…

Statistical Mechanics · Physics 2024-11-08 Léo Touzo , Pierre Le Doussal

We introduce an interface model with q-fold symmetry to study the nonequilibrium phase transition (NPT) from an active to an inactive state at the bottom layer. In the model, q different species of particles are deposited or are evaporated…

Statistical Mechanics · Physics 2007-05-23 B. Kahng , S. Park

We study the phase diagram and the critical behavior of a one-dimensional radius-1 two-state totalistic probabilistic cellular automaton having two absorbing states. This system exhibits a first-order phase transition between the fully…

Statistical Mechanics · Physics 2008-02-03 F. Bagnoli , N. Boccara , P. Palmerini

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and…

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

Prudent walks are self-avoiding walks which cannot step towards an already occupied vertex. We introduce a new model of adsorbing prudent walks on the square lattice, which start on an impenetrable surface and accrue a fugacity $a$ with…

Mathematical Physics · Physics 2021-12-20 Nicholas R. Beaton , Gerasim K. Iliev