Abstract
We present a finite-time detailed fluctuation theorem of the form P̃(ΔS(env))=e(ΔS(env))P̃(-ΔS(env)) for an appropriately weighted probability density P̃(ΔS(env)) of the external entropy production in the environment ΔS(env). The fluctuation theorem is valid for nonequilibrium systems with constant rates starting with an arbitrary initial probability distribution. We discuss the implication of this 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.
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