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相关论文: Driven Pair Contact Process with Diffusion

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The contact process with diffusion (PCPD) defined by the binary reactions 2 B -> 3 B, 2 B -> 0 and diffusive particle spreading exhibits an unusual active to absorbing phase transition whose universality class has long been disputed.…

统计力学 · 物理学 2020-10-28 Shengfeng Deng , Wei Li , Uwe C. Täuber

The one-dimensional pair contact process with diffusion (PCPD), an interacting particle system with diffusion, pair annihilation, and creation by pairs, has defied a consensus about the universality class that it belongs to. An argument by…

统计力学 · 物理学 2017-09-20 Su-Chan Park

The pair contact process with diffusion (PCPD) is studied with a standard Monte Carlo approach and with simulations at fixed densities. A standard analysis of the simulation results, based on the particle densities or on the pair densities,…

统计力学 · 物理学 2009-11-13 F. Smallenburg , G. T. Barkema

The pair contact process (PCP) is a nonequilibrium stochastic model which, like the basic contact process (CP), exhibits a phase transition to an absorbing state. The two models belong to the directed percolation (DP) universality class,…

统计力学 · 物理学 2015-05-27 F. L. Santos , Ronald Dickman , U. L. Fulco

The pair contact process with diffusion (PCPD) with modulo 2 conservation (\pcpdt) [$2A\to 4A$, $2A\to 0$] is studied in one dimension, focused on the crossover to other well established universality classes: the directed Ising (DI) and the…

统计力学 · 物理学 2013-05-29 Su-Chan Park , Hyunggyu Park

The pair-contact process with diffusion (PCPD), a generalized model of the ordinary pair-contact process (PCP) without diffusion, exhibits a continuous absorbing phase transition. Unlike the PCP, whose nature of phase transition is clearly…

统计力学 · 物理学 2024-02-26 Jianmin Shen , Wei Li , Shengfeng Deng , Dian Xu , Shiyang Chen , Feiyi Liu

The restricted diffusive pair contact process 2A->3A, 2A->0 (PCPD) and the classification of its critical behavior continues to be a challenging open problem of non-equilibrium statistical mechanics. Recently Kockelkoren and Chate [Phys.…

统计力学 · 物理学 2007-05-23 Haye Hinrichsen

The variance of the local density of the pair contact process with diffusion (PCPD) is investigated in a bosonic description. At the critical point of the absorbing phase transition (where the average particle number remains constant) it is…

统计力学 · 物理学 2009-11-10 Matthias Paessens , Gunter M. Schuetz

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and…

统计力学 · 物理学 2009-11-13 Su-Chan Park , Hyunggyu Park

We study a model that generalizes the CP with diffusion. An additional transition is included in the model so that at a particular point of its phase diagram a crossover from the directed percolation to the compact directed percolation…

统计力学 · 物理学 2009-11-11 W. G. Dantas , J. F. Stilck

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…

统计力学 · 物理学 2009-11-10 G. T. Barkema , E. Carlon

The well-established universality classes of absorbing critical phenomena are directed percolation (DP) and directed Ising (DI) classes. Recently, the pair contact process with diffusion (PCPD) has been investigated extensively and claimed…

统计力学 · 物理学 2007-05-23 Jae Dong Noh , Hyunggyu Park

Recently Carlon et. al. investigated the critical behavior of the pair contact process with diffusion [cond-mat/9912347]. Using density matrix renormalization group methods, they estimate the critical exponents, raising the possibility that…

统计力学 · 物理学 2009-10-31 Haye Hinrichsen

Crossover behaviors from the pair contact process with diffusion (PCPD) and the driven PCPD (DPCPD) to the directed percolation (DP) are studied in one dimension by introducing a single particle annihilation/branching dynamics. The…

统计力学 · 物理学 2007-05-23 Su-Chan Park , Hyunggyu Park

The question of universality class of pair contact process with diffusion (PCPD) is revisited with an alternative approach. We study persistence in Generalized Pair-Contact Process with diffusion (GPCPD) introduced by Noh and Park, (Phys.…

统计力学 · 物理学 2016-12-21 Maneesh B. Matte , Prashant M. Gade

The phase transition of the one-dimensional, diffusive pair contact process (PCPD) is investigated by N cluster mean-field approximations and high precision simulations. The N=3,4 cluster approximations exhibit smooth transition line to…

统计力学 · 物理学 2009-11-07 Geza Odor

We study the nonequilibrium critical behavior of the pair contact process with diffusion (PCPD) by means of nonperturbative functional renormalization group techniques. We show that usual perturbation theory fails because the effective…

统计力学 · 物理学 2014-07-29 Damien Gredat , Hugues Chaté , Ivan Dornic , Bertrand Delamotte

The cluster mean-field approximations are performed, up to 13 cluster sizes, to study the critical behavior of the driven pair contact process with diffusion (DPCPD) and its precedent, the PCPD in one dimension. Critical points are…

统计力学 · 物理学 2007-05-23 Su-Chan Park , Hyunggyu Park

We study absorbing phase transitions in systems of branching annihilating random walkers and pair contact process with diffusion on a one dimensional ring, where the walkers hop to their nearest neighbor with a bias $\epsilon$. For…

统计力学 · 物理学 2019-03-13 Bijoy Daga , Purusattam Ray

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…

统计力学 · 物理学 2007-05-23 Uwe C. Tauber
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