Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-12-15
Eur. J. Phys. B56 (2007) 223
Physics
Condensed Matter
Statistical Mechanics
10 pages
Scientific paper
10.1140/epjb/e2007-00102-y
A system of particles is studied in which the stochastic processes are one-particle type-change (or one-particle diffusion) and multi-particle annihilation. It is shown that, if the annihilation rate tends to zero but the initial values of the average number of the particles tends to infinity, so that the annihilation rate times a certain power of the initial values of the average number of the particles remain constant (the double scaling) then if the initial state of the system is a multi-Poisson distribution, the system always remains in a state of multi-Poisson distribution, but with evolving parameters. The large time behavior of the system is also investigated. The system exhibits a dynamical phase transition. It is seen that for a k-particle annihilation, if k is larger than a critical value k_c, which is determined by the type-change rates, then annihilation does not enter the relaxation exponent of the system; while for k < k_c, it is the annihilation (in fact k itself) which determines the relaxation exponent.
Aghamohammadi Amir
Khorrami Mohammad
No associations
LandOfFree
Phase transition in annihilation-limited processes 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 Phase transition in annihilation-limited processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transition in annihilation-limited processes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-132509