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摘要翻译：
为什么世界能抵抗熵增定律而产生自组织结构？孤立系统的熵总是只增不减吗？热动力降解和自组织进化能结合起来吗？如何团结？本文从非平衡熵演化方程出发，证明了在具有内部吸引相互作用的非平衡系统中，会自发地出现一个新的熵减。这种新的熵减定律与传统的熵增定律并存，相互抵消，使孤立系统的总熵能够减小。它不仅使孤立系统产生自组织结构，而且使开放系统产生自组织结构。我们首先导出了这一新的熵减率的统计公式，并与我们几年前导出的熵增定律的统计公式作了数学形式和微观物理基础上的比较。在此基础上，我们给出了孤立系统和开放系统中总熵的时间变化率的计算公式。前者等于熵增律公式与新熵减率公式之和，后者是熵增、熵减和熵流公式的代数和。它们都体现了热力学降解和自组织演化的统一。作为新理论公式的应用，我们定性地讨论了两个真实孤立系统中非均匀结构的紧急情况，包括澄清了宇宙热死的推论。
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英文标题：
《Spontaneous entropy decrease and its statistical formula》
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作者：
Xiu-San Xing
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
Why can the world resist the law of entropy increase and produce self-organizing structure? Does the entropy of an isolated system always only increase and never decrease? Can be thermodymamic degradation and self-organizing evolution united? How to unite? In this paper starting out from nonequilibrium entropy evolution equation we proved that a new entropy decrease could spontaneously emerge in nonequilibrium system with internal attractive interaction. This new entropy decrease coexists with the traditional law of entropy increase, both of them countervail each other, so that the total entropy of isolated system can be able to decrease. It not only makes isolated system but also helps open system to produce self-organizing structure. We first derived a statistical formula for this new entropy decrease rate, and compared it both in mathematical form and in microscopic physical foundation with the statistical formula for the law of entropy increase which was derived by us some years ago. Furthermore, we gave the formulas for the time rate of change of total entropy in isolated system and open system. The former is equal to the sum of the formula for the law of entropy increase and the formula for the new entropy decrease rate, the latter is the algebraic sum of the formulas for entropy increase, entropy decrease and entropy flow. All of them manifest the unity of thermodynamic degradation and self-organizing evolution. As the application of the new theoretical formulas, we discussed qualitatively the emergency of inhomogeneous structure in two real isolated systems including clarifying the inference about the heat death of the universe.
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PDF链接：
https://arxiv.org/pdf/710.4624
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