耗散功和耗散信息的相空间梯度：相对Fisher信息的作用
Phase space gradient of dissipated work and information: A role of relative Fisher information
摘要：
我们表明，信息理论距离测量的相对Fisher信息之间的正则平衡相密度对应的向前和向后的过程是密切相关的相空间中的耗散功的梯度。我们通过对数Sobolev不等式给出了一个普适的约束条件。此外，我们指出，一个可能的表达式的下限表示的相对熵和规范分布的Fisher信息的深层连接。
英文摘要：
We show that an information theoretic distance measured by the relative Fisher information between canonical equilibrium phase densities corresponding to forward and backward processes is intimately related to the gradient of the dissipated work in phase space. We present a universal constraint on it via the logarithmic Sobolev inequality. Furthermore, we point out that a possible expression of the lower bound indicates a deep connection in terms of the relative entropy and the Fisher information of the canonical distributions.
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