Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-09-28
Physics
Condensed Matter
Statistical Mechanics
Proceedings of the 3rd International Conference NEXT-SigmaPhi
Scientific paper
10.1140/epjb/e2006-00126-9
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.
No associations
LandOfFree
Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monte Carlo simulations of bosonic reaction-diffusion systems and comparison to Langevin equation description will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-239615