Creation-annihilation processes in the ensemble of constant particle number

Abstract

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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Cited by in corpus (5)

• Contact process with long-range interactions: a study in the ensemble of constant particle number
• Comparing the influence of distinct kinds of temporal disorder in a low dimensional absorbing transition model
• Robustness of first-order phase transitions in one-dimensional long-range contact processes
• Effect of diffusion in one-dimensional discontinuous absorbing phase transitions
• Influence of competition in minimal systems with discontinuous absorbing phase transitions