THE SEMINAR

THEORY OF DUALITY

DEPARTMENT OF MATHEMATICAL METHODS IN PHYSICS



On the 22nd of January 2015, at 10:15 a.m.

Jacek Miękisz (IMSIM MIMUW)

will give a talk on

"Searching for formulas for moments of stationary states
in stochastic models of self-repressing gene and ion channels"


Abstract
One of the main goals of statistical mechanics is to find equilibrium states of systems of many interacting particles and expected values of relevant random variables, for example magnetization in the Ising model. At low temperatures, equilibrium states may be constructed as small perturbations of ground states. Here we will discuss constructions of non-equilibrium stationary states in two simple models: gene self-regulation and Kawasaki dynamics in ion channels.
  • Mathematical cell: Stochastic model of gene expression
  • Intermission: Markov jump processes and detailed balance
  • Main actor: Self-repressing gene
  • Mean-field approximation
  • Expansions
    • around detailed balance
    • around adiabatic regime
  • Kawasaki dynamics in ion channels
  • Gibbs states versus non-equilibrium stationary states
  • Ground states versus stochastically stable states

The seminar takes place on Thursdays from 10:15 a.m. to 12:00 in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5, Warszawa.
Additional information can be found on the webpage http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.