辛非压缩的时间不可逆性
Time irreversibility from symplectic non-squeezing
摘要：
时间可逆的微观动力学如何引起宏观不可逆过程的问题，自玻尔兹曼的思想形成并基本解决了这样一个明显的矛盾以来，一直是物理学中反复出现的问题。遵循玻尔兹曼的精神和思想，但采用吉布斯的方法，我们提出这样的观点：多自由度哈密顿系统的宏观不可逆性也可以看作是辛非压缩定理的结果。
英文摘要：
The issue of how time reversible microscopic dynamics gives rise to macroscopic irreversible processes has been a recurrent issue in Physics since the time of Boltzmann whose ideas shaped, and essentially resolved, such an apparent contradiction. Following Boltzmann's spirit and ideas, but employing Gibbs's approach, we advance the view that macroscopic irreversibility of Hamiltonian systems of many degrees of freedom can be also seen as a result of the symplectic non-squeezing theorem.
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