The Blowtorch Theorem
I will discuss the "Blowtorch theorem" (BT) based on the article "Maes & Netocny, Ann. Henri Poincaré 14 (2013)". In the framework of Markov jump processes, an equilibrium steady state is determined by the energy/entropy part of the transition rates. A nonequilibrium steady state, on the other hand, depends also on the kinetic part. The BT gives a condition suggestive of the Comparison Hypothesis (as discussed last week), for when the effect of kinetics is in a sense strong. We will review Kirchoff’s graph-theoretical method of solving the master equation, and use it to derive the Blowtorch theorem.
This is a weekly series of informal talks focussing on some theoretical aspect of Condensed Matter, Biological, and Statistical Physics..