Wilson renormalization of a reaction-diffusion process

Details Wilson renormalization of a reaction-diffusion process Wilson renormalization of a reaction-diffusion process

1997-06-19

arxiv.org/abs/cond-mat/9706197v1

Physics

Condensed Matter

Statistical Mechanics

26 pages, LaTeX, 6 .eps figures included

Scientific paper

Healthy and sick individuals (A and B particles) diffuse independently with diffusion constants D_A and D_B. Sick individuals upon encounter infect healthy ones (at rate k), but may also spontaneously recover (at rate 1/\tau). The propagation of the epidemic therefore couples to the fluctuations in the total population density. Global extinction occurs below a critical value \rho_{c} of the spatially averaged total density. The epidemic evolves as the diffusion--reaction--decay process A + B --> 2B, B --> A , for which we write down the field theory. The stationary state properties of this theory when D_A=D_B were obtained by Kree et al. The critical behavior for D_AD_B remains unsolved.

Affiliated with

Also associated with

No associations

Rating

Wilson renormalization of a reaction-diffusion process 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 Wilson renormalization of a reaction-diffusion process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wilson renormalization of a reaction-diffusion process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-119115