Fundamental Relation Between Entropy Production and Heat Current
Fundamental Relation Between Entropy Production and Heat Current
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DOI：
10.1007/s10955-018-2180-0
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发表时间：
2018-10
影响因子：
1.6
通讯作者：
Naoto Shiraishi;Keiji Saito
中科院分区：
文献类型：
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作者：
Naoto Shiraishi;Keiji Saito
我们研究了经典马尔可夫过程中熵产生率与系统和浴之间能量交换速度之间的基本关系。我们确定了这样一个事实：快速的能量交换不可避免地会导致大量的熵产生。更具体地说，我们证明了瞬时量的两个不等式：一个适用于由热浴引起的一般马尔可夫过程，另一个仅适用于具有局部详细平衡条件的系统，但比前一个更强。我们通过应用于一些特定的设置来证明我们的结果的物理意义。特别是，我们表明我们的不平等在线性响应机制中是严格的。
We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large entropy production in a quantitative form. More specifically, we prove two inequalities on instantaneous quantities: one is applicable to general Markov processes induced by heat baths, and the other is applicable only to systems with the local detailed-balance condition but is stronger than the former one. We demonstrate the physical meaning of our result by applying to some specific setups. In particular, we show that our inequality is tight in the linear response regime.