Strong fluctuation theorem for nonstationary nonequilibrium systems
David Luposchainsky, Andre Cardoso Barato, and Haye Hinrichsen
Accepted
We introduce a finite-time detailed fluctuation theorem of the form [P\tilde](DSenv) = eDSenv [P\tilde](-DSenv) for an appropriately weighted probability density of the external entropy production in the environment. The fluctuation theorem is valid for nonequilibrium systems with constant rates starting with an arbitrary initial probability distribution. We discuss the implication of this new relation for the case of a temperature quench in classical equilibrium systems. The fluctuation theorem is tested numerically for a Markov jump process with six states and for a surface growth model.