Brun T A, Hartle J B
Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106-4030, USA.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Jun;59(6):6370-80. doi: 10.1103/physreve.59.6370.
We consider a number of proposals for the entropy of sets of classical coarse-grained histories based on the procedures of Jaynes, and we prove a series of inequalities relating these measures. We then examine these as a function of the coarse-graining for various classical systems, and show explicitly that the entropy is minimized by the finest-grained description of a set of histories. We propose an extension of the second law of thermodynamics to the entropy of histories. We briefly discuss the implications for decoherent or consistent history formulations of quantum mechanics.
基于杰恩斯的方法，我们考虑了一些关于经典粗粒化历史集熵的提议，并证明了一系列将这些度量联系起来的不等式。然后，我们将这些作为各种经典系统粗粒化的函数进行研究，并明确表明，通过对一组历史的最细粒度描述，熵达到最小。我们提出将热力学第二定律扩展到历史的熵。我们简要讨论了其对量子力学退相干或一致历史表述的影响。
