Monte Carlo simulations of bosonic reaction-diffusion systems

Abstract

An efficient Monte Carlo simulation method for bosonic reaction-diffusion systems which are mainly used in the renormalization group (RG) study is proposed. Using this method, one dimensional bosonic single species annihilation model is studied and, in turn, the results are compared with RG calculations. The numerical data are consistent with RG predictions. As a second application, a bosonic variant of the pair contact process with diffusion (PCPD) is simulated and shown to share the critical behavior with the PCPD. The invariance under the Galilean transformation of this boson model is also checked and discussion about the invariance in conjunction with other models are in order.

Published

References in corpus (15)

• Theory of Branching and Annihilating Random Walks
• Renormalization Group Calculation for the Reaction $kA\to \varnothing$
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• Coherent State path-integral simulation of many particle systems

Cited by in corpus (4)

• Bosonic reaction-diffusion processes on scale-free networks
• Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description
• Physical meaning of principal component analysis for classical lattice systems with translational invariance
• Universal fragmentation in annihilation reactions with constrained kinetics