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arXiv 0809.3445cond-mat.stat-mech
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常粒子数系综中的创生-湮灭过程

Creation-annihilation processes in the ensemble of constant particle number

Carlos E. Fiore, Mário J. de Oliveira

摘要:

我们研究,在合奏的恒定粒子数,过程中,一个集群的粒子被湮灭和粒子催化活性位点中创建。在该系综中,属于$\ell$粒子簇的粒子跳跃到$\ell$不同的活性位点。作为我们的处方的例子,我们数值分析了三个非平衡系统,湮灭粒子被确定为对湮灭接触模型,三重湮灭接触模型和对接触过程的保守版本的集群。我们还展示了如何从恒速系综建立恒粒子数系综。

英文摘要:

We study, in the ensemble of constant particle number, processes in which a cluster of particles is annihilated and particles are created catalytically in active sites. In this ensemble, particles belonging to a cluster of $\ell$ particles jump to $\ell$ distinct active sites. As examples of our prescription, we analyze numerically three nonequilibrium systems that annihilate cluster of particles that are identified as conserved versions of the pair annihilation contact model, triplet annihilation contact model and pair contact process. We show also how to set up the constant particle number ensemble from the constant rate ensemble.

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