Luposchainsky David, Barato Andre Cardoso, Hinrichsen Haye
Universität Würzburg, Fakultät für Physik und Astronomie, 97074 Würzburg, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Apr;87(4):042108. doi: 10.1103/PhysRevE.87.042108. Epub 2013 Apr 12.
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.
我们给出了一个有限时间的详细涨落定理，形式为P̃(ΔS(env)) = e(ΔS(env))P̃(-ΔS(env))，适用于环境中外部熵产生ΔS(env)的适当加权概率密度P̃(ΔS(env))。该涨落定理对于具有恒定速率且从任意初始概率分布开始的非平衡系统是有效的。我们讨论了这种关系在经典平衡系统中温度猝灭情况下的含义。对具有六个状态的马尔可夫跳跃过程和表面生长模型进行了数值检验该涨落定理。
