Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance

Details Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance

2007-02-27

arxiv.org/abs/math-ph/0702090v2

Journal of Statistical Physics, Vol. 129, No. 1. (13 October 2007), pp. 1-26

Physics

Mathematical Physics

28 pages

Scientific paper

10.1007/s10955-007-9373-2

Under the condition of detailed balance and some additional restrictions on the size of the coefficients, we identify the equilibrium distribution to which solutions of the discrete coagulation-fragmentation system of equations converge for large times, thus showing that there is a critical mass which marks a change in the behavior of the solutions. This was previously known only for particular cases as the generalized Becker-D\"oring equations. Our proof is based on an inequality between the entropy and the entropy production which also gives some information on the rate of convergence to equilibrium for solutions under the critical mass.

Affiliated with

Also associated with

No associations

Rating

Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance 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 Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207361