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A conserved lattice gas with random neighbor hopping of active particles is introduced which exhibits a continuous phase transition from an active state to an absorbing non-active state. Since the randomness of the particle hopping breaks…

统计力学 · 物理学 2009-11-07 S. Lubeck , A. Hucht

We analyse numerically the critical behavior of a conserved lattice gas which was recently introduced as an example of the new universality class of absorbing phase transitions with a conserved field [Phys. Rev. Lett. 85, 1803 (2000)]. We…

统计力学 · 物理学 2009-11-07 S. Lubeck

Extensive Monte Carlo simulations are performed in order to evaluate both the local ($\theta_{l}$) and global ($\theta_{g}$) persistence exponents in the Ziff-Gulari-Barshad (ZGB) (Phy. Rev. Lett. {\bf 56}, 2553, (1986)) irreversible…

凝聚态物理 · 物理学 2009-10-31 Ezequiel Albano , Miguel A. Munoz

We analyse numerically the critical behavior of an absorbing phase transition in a conserved lattice gas in an external field. The external field is realized as a spontaneous creation of active particles which drives the system away from…

统计力学 · 物理学 2009-11-07 S. Lubeck

We investigate the non-equilibrium stationary state of a translationally invariant one-dimensional driven lattice gas with short-range interactions. The phase diagram is found to exhibit a line of continuous transitions from a disordered…

统计力学 · 物理学 2009-10-31 Dirk Helbing , David Mukamel , Gunter M. Schutz

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the…

统计力学 · 物理学 2011-12-30 M. D. Grynberg

Local and global persistence exponents associated with zero temperature quenched dynamics of two dimensional XY model and three dimensional Heisenberg model have been estimated using numerical simulations. We have used the method of block…

统计力学 · 物理学 2013-05-29 Shyamal Bhar , Subhrajit Dutta , Soumen Kumar Roy

We introduce a model for a population on a lattice with diffusion and birth/death according to 2A->3A and A->0 for a particle A. We find that the model displays a phase transition from an active to an absorbing state which is continuous in…

统计力学 · 物理学 2015-06-25 Alastair Windus , Henrik Jeldtoft Jensen

The peculiar phase-ordering properties of a lattice of coupled chaotic maps studied recently (A. Lema\^\i tre & H. Chat\'e, {\em Phys. Rev. Lett.} {\bf 82}, 1140 (1999)) are revisited with the help of detailed investigations of interface…

统计力学 · 物理学 2016-08-15 Julien Kockelkoren , Anaël Lemaître , Hugues Chaté

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

统计力学 · 物理学 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

We present a model which displays Griffiths phase i.e. algebraic decay of density with continuously varying exponent in the absorbing phase. In active phase, the memory of initial conditions is lost with continuously varying complex…

统计力学 · 物理学 2020-03-04 Priyanka D. Bhoyar , Prashant M. Gade

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

统计力学 · 物理学 2009-11-10 S. Lubeck , P. C. Heger

We investigate a $2d$-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density $\rho_c$. We derive the hydrodynamic equation for this model, showing that all critical exponents governing the…

统计力学 · 物理学 2025-01-07 Clément Erignoux , Alexandre Roget , Assaf Shapira , Marielle Simon

Conserved lattice gas (CLG) models in one dimension exhibit absorbing state phase transition (APT) with simple integer exponents $\beta=1=\nu=\eta$ whereas the same on a ladder belong to directed percolation (DP)universality. We conjecture…

统计力学 · 物理学 2017-10-18 Arijit Chatterjee , P. K. Mohanty

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a…

凝聚态物理 · 物理学 2009-10-22 J. F. F. Mendes , Ronald Dickman , Malte Henkel , M. Ceu Marques

We study absorbing state phase transition in one dimension in presence of a conserved continuous local field (CCLF) called energy. A pair of sites on a lattice is said to be active if one or both sites posses more energy than a pre-defined…

统计力学 · 物理学 2015-03-18 Mahashweta Basu , Ujjal Gayen , P. K. Mohanty

We measure the persistence exponent in a phase separating two-dimensional spin system with non-conserved dynamics quenched in a region with four coexisting stripe phases. The system is an Ising model with nearest neighbor,…

统计力学 · 物理学 2015-06-25 Emilio N. M. Cirillo , Giuseppe Gonnella , Sebastiano Stramaglia

We study persistence in coupled circle map lattices at the onset of spatiotemporal intermittency, an onset which marks a continuous transition, in the universality class of directed percolation, to a unique absorbing state. We obtain a…

统计力学 · 物理学 2009-11-07 Gautam I. Menon , Sudeshna Sinha , Purusattam Ray

We obtain the persistence exponents for an antiferromagnetic Ising system in which the magnetisation is kept constant. This system belongs to Model C (system with non-conserved order parameter with a conserved density) and is expected to…

统计力学 · 物理学 2009-11-07 Moumita Saharay , Parongama Sen

We obtained the global persistence exponent $\theta_g$ for a continuous spin model on the simple cubic lattice with double-exchange interaction by using two different methods. First, we estimated the exponent $\theta_g$ by following the…

统计力学 · 物理学 2009-11-11 H. A. Fernandes , J. R. Drugowich de Felicio
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