arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0807.1268physics.hist-phcond-mat.stat-mech
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熵、概率与动力学

Entropy, Probability and Dynamics

E. G. D. Cohen

摘要:

玻尔兹曼的斗争与推导热力学第二定律的概述。他在1877年首次推导出熵和概率之间的联系也是如此。普朗克的推导和玻尔兹曼的熵概率之间的联系的量子力学修改给出了。然后爱因斯坦的反对纯粹的概率,而不是一个动态的熵解释进行了讨论。最后,非常混乱的系统的Sinai-Ruelle-Bowen分布的动力学基础被勾勒出来,似乎是爱因斯坦的熵的动力学解释的一个例子。

英文摘要:

Boltzmann's struggle with a derivation of the Second Law of Thermodynamics is sketched. So is his first derivation of the connection between entropy and probability in 1877. Planck's derivation and quantum mechanical modifications of Boltzmann's connection between entropy probability are given next. Then Einstein's objections to a purely probabilistic rather than a dynamical interpretation of entropy are discussed. Finally, the dynamical basis of the Sinai-Ruelle-Bowen distribution for very chaotic systems is sketched and appears to be an example of Einstein's dynamical interpretation of entropy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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