代数力学作为一个可访问的玩具模型，演示可逆微观动力学的熵产生
Algebraic mechanics as an accessible toy model demonstrating entropy generation from reversible microscopic dynamics
摘要：
人们注意到，对于不可逆性、熵的产生和“时间之箭”等实际上已经很好理解的一些方面，仍然存在相当程度的混淆。这就要求在任何关于不可逆性的讨论中必须非常小心，使用明确的概念和精确的语言，以便明确哪个性质来自哪个假设。在这项工作中，一个新的玩具模型的“代数力学”，阐明了特定的关键方面的熵产生的系统中，具有非常简单的可逆的基本动力学。有人认为，为什么通过详细的定量研究这个玩具模型获得的见解也必须考虑到任何现实的微观动力学模型，经典或量子等。由于不可逆性也涉及量子力学测量过程（通过“H定理”的“证明”），因此提供了一种简单的方法来解决“波函数何时（以及如何）坍缩”这个棘手的问题。
英文摘要：
One observes that a considerable level of confusion remains about some of those aspects of irreversibility, entropy generation and `the arrow of time' which actually are well understood. This demands that great care must be taken in any discussion of irreversibility to use clear-cut notions and precise language in order to be definite about which property follows from which assumption. In this work, a novel toy model of `algebraic mechanics' is presented that elucidates specific key aspects of entropy generation in a system with extremely simple reversible fundamental dynamics. It is argued why insights gained through a detailed quantitative study of this toy model also have to be taken into account for any realistic model of microscopic dynamics, classical or quantum alike. As irreversibility also touches upon the quantum mechanical measurement process (through the `proof' of the `H-Theorem'), a simple way to address the tenacious question `when (and how) the wave function collapses' is offered.
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。
