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| Theory of Non-Equilibrium Statistical Mechanics and applications to Network, Epidemiological and Biological Models |
| Thierry Platini |
| Virginia Bioinformatics Institute |
| Thursday 01 December 2011 , 10h25 |
| Salle de sйminaire du groupe de Physique Statistique |
Motivated by the classification of non-equilibrium steady states suggested by R.K.P. Zia and B. Schmittmann in J. Stat. Mech. P07012 (2007), we propose to measure the violation of the ’detailed balance’ criterion by the p-norm ($||K||_p$) of the matrix formed by the probability currents. We show that the latter quantity and the average activity $A$ are both related to the probability distribution of the entropy production. Exact results are derived for the open-ASEP and open-ZRP. I will discuss three applications of the Master Equation approach to (1) Network dynamics of interacting populations, (2) stochastic model for gene expression and (3) Epidemiology modeling. |