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We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature…

Statistical Mechanics · Physics 2011-04-20 Soumyajyoti Biswas , Anasuya Kundu , Anjan Kumar Chandra

We review some recent results on the relations between sandpiles and a class of absorbing state phase transitions. We use the concept of fixed energy sandpiles (FES), in which external driving and dissipation are absent. FES are shown to…

This work presents a mathematical model of an adsorption column to study the evolution of contaminant concentration and adsorbed quantity along the longitudinal axis of the filter. The model is formulated as a system of partial differential…

Mathematical Physics · Physics 2026-04-09 J. Anglada Lloveras , M. Aguareles , E. Barrabés

In the work of Das and Sharma [Phys. Rev. A 105, 033716 (2022)] the phase transitions of the Dicke model are studied. Its main result is that, besides the well-known quantum phase transition, excited-state quantum phase transition and…

Quantum Physics · Physics 2022-10-14 Ángel L. Corps , Armando Relaño

We investigate the effect of initial conditions on the dynamic exponents of the interacting monomer-monomer model with infinitely many absorbing states in one dimension. This model exhibits a directed Ising (DI) type transition from an…

Statistical Mechanics · Physics 2007-05-23 Heung Sik Park , Hyunggyu Park

We show that the stochastic field theory for directed percolation in presence of an additional conservation law (the C-DP class) can be mapped exactly to the continuum theory for the depinning of an elastic interface in short-range…

Disordered Systems and Neural Networks · Physics 2015-06-23 Pierre Le Doussal , Kay Jörg Wiese

I study the critical behavior of a two-dimensional dimer-trimer lattice model, introduced by K\"{o}hler and ben-Avraham [J. Phys. A {\bf 24}, L621 (1991)], for heterogeneous catalysis of the reaction $\frac{1}{2}A_{2}+\frac{1}{3}B_{3}…

Condensed Matter · Physics 2015-06-25 Iwan Jensen

The pair contact process with diffusion is studied by means of multispin Monte Carlo simulations and density matrix renormalization group calculations. Effective critical exponents are found to behave nonmonotonically as functions of time…

Statistical Mechanics · Physics 2009-11-10 G. T. Barkema , E. Carlon

We propose a generalized version of the Dielectric Breakdown Model (DBM) for generic breakdown processes. It interpolates between the standard DBM and its analog with quenched disorder, as a temperature like parameter is varied. The physics…

Condensed Matter · Physics 2016-08-31 R. Cafiero , A. Gabrielli , M. Marsili , M. A. Muñoz , L. Pietronero

We study the one dimensional three species monomer-monomer reaction model in the reaction controlled limit using mean-field theory and dynamic Monte Carlo simulations. The phase diagram consists of a reactive steady state bordered by three…

Statistical Mechanics · Physics 2009-10-31 Kevin E. Bassler , Dana A. Browne

We study the direct incoherent energy transfer from an immobile excited donor molecule to acceptor molecules, which are all attached to polymer chains, randomly arranged in a viscous solvent. The decay forms are found explicitly, in terms…

Condensed Matter · Physics 2008-02-03 G. Oshanin , J. De Coninck , A. Blumen , S. F. Burlatsky , M. Moreau

We consider two different systems exhibiting a continuous phase transition into an absorbing state. Both models belong to the same universality class, i.e., they are characterized by the same scaling functions and the same critical…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck

The absorbing "ricepile" model with stochastic toppling rules has been numerically studied. Local limited, local unlimited, nonlocal limited and nonlocal unlimited versions of the absorbing model have been investigated. Transport properties…

Statistical Mechanics · Physics 2016-08-31 Maria Markosova

When dynamics in a system proceeds under suppressive external bias, the system can undergo an abrupt phase transition, as it occurs for example in the epidemic spreading. Recently, an explosive percolation (EP) model was introduced in line…

Statistical Mechanics · Physics 2015-06-17 Y. S. Cho , S. Hwang , H. J. Herrmann , B. Kahng

The model of competition between densities of two different species, called predator and prey, is studied on a one dimensional periodic lattice, where each site can be in one of the four states say, empty, or occupied by a single predator,…

Statistical Mechanics · Physics 2011-06-02 Rakesh Chatterjee , P. K. Mohanty , Abhik Basu

Recently, a simple non-interacting-electron model, combining local quantum tunneling via quantum point contacts and global classical percolation, has been introduced in order to describe the observed ``metal-insulator transition'' in two…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yigal Meir

In nature, phase transitions prevail amongst inherently different systems, while frequently showing a universal behavior at their critical point. As a fundamental phenomenon of fluid mechanics, recent studies suggested laminar-turbulent…

Fluid Dynamics · Physics 2018-04-18 Dominik Traphan , Tom T. B. Wester , Gerd Gülker , Joachim Peinke , Pedro G. Lind

Recently, Lipowski [cond-mat/0002378] investigated a stochastic lattice model which exhibits a discontinuous transition from an active phase into infinitely many absorbing states. Since the transition is accompanied by an apparent power-law…

Statistical Mechanics · Physics 2009-10-31 Haye Hinrichsen

We present a functional renormalization group approach for the active to inactive phase transition in directed percolation type systems, in which the transition is approached from the active, finite density phase. By expanding the effective…

Statistical Mechanics · Physics 2016-08-24 Michael Buchhold , Sebastian Diehl

Simulation results of the thermal conductivity ${\cal L}$ of Dissipative Particle Dynamics model with Energy Conservation (DPDE) are reported. We also present an analysis of the transport equations and the transport coefficients for DPDE…

Statistical Mechanics · Physics 2015-06-24 Josep Bonet Avalos , Allan D. Mackie