1307.0801 (Suriyanarayanan Vaikuntanathan et al.)

Dynamic phase transitions in simple driven kinetic networks    [PDF]

Suriyanarayanan Vaikuntanathan, Todd R. Gingrich, Phillip L. Geissler

We analyze the probability distribution for entropy production rates of trajectories evolving on a class of out-of-equilibrium kinetic networks. These networks can serve as simple models for driven dynamical systems, which are of particular importance in biological processes, where energy fluxes typically result in non-equilibrium dynamics. By analyzing the fluctuations in the entropy production, we demonstrate the emergence, in a large system size limit, of a dynamic phase transition between two distinct dynamical regimes. Of particular note is that this dynamic phase transition requires neither correlated many-particle interactions nor kinetic constraints, as it occurs in a system with a single degree of freedom.

View original: http://arxiv.org/abs/1307.0801