记忆的不可逆效应
Irreversible effects of memory
摘要：
分析了一类具有短程记忆和色噪声的Langevin方程的定态性。当不满足第二类涨落耗散定理时，动力学是不可逆的，即破坏了细致平衡。我们表明，该系统的熵产生率应包括注入的“记忆力”的权力。有了这个额外的贡献，波动关系在模拟中得到了相当好的验证。具有惯性的动力学和过阻尼动力学对于该附加功率产生相同的表达式。还讨论了第一类涨落耗散关系中的“记忆力”的作用。
英文摘要：
The steady state of a Langevin equation with short ranged memory and coloured noise is analyzed. When the fluctuation-dissipation theorem of second kind is not satisfied, the dynamics is irreversible, i.e. detailed balance is violated. We show that the entropy production rate for this system should include the power injected by ``memory forces''. With this additional contribution, the Fluctuation Relation is fairly verified in simulations. Both dynamics with inertia and overdamped dynamics yield the same expression for this additional power. The role of ``memory forces'' within the fluctuation-dissipation relation of first kind is also discussed.
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