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Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description
Using the Monte Carlo simulation method for bosonic reaction-diffusion
systems introduced recently [S.-C. Park, Phys. Rev. E {\bf 72}, 036111 (2005)],
one dimensional bosonic models are studied and compared to the corresponding
Langevin equations derived from the coherent state path integral formalism. For
the single species annihilation model, the exact asymptotic form of the
correlation functions is conjectured and the full equivalence of the (discrete
variable) master equation and the (continuous variable) Langevin equation is
confirmed numerically. We also investigate the cyclically coupled model of
bosons which is related to the pair contact process with diffusion (PCPD). From
the path integral formalism, Langevin equations which are expected to describe
the critical behavior of the PCPD are derived and compared to the Monte Carlo
simulations of the discrete model.Comment: Proceedings of the 3rd International Conference NEXT-SigmaPh
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