论文标题
通过相变的mpemba效应的兰道理论
Landau Theory for the Mpemba Effect Through Phase Transitions
论文作者
论文摘要
MPEMBA效应描述了与在较冷的温度下启动的相同副本更快冷却速度的情况。在许多实验观察中，例如在水和覆盖水合物中，它是由相变时定义的。但是，到目前为止，没有一个理论研究考虑相变的时机，而用于探索MPEMBA效应的大多数抽象模型都没有相变。我们使用现象学兰道理论进行相变点来识别二阶相变时间，并以具体的例子证明了这种模型中可能存在mpemba效应。
The Mpemba effect describes the situation in which a hot system cools faster than an identical copy that is initiated at a colder temperature. In many of the experimental observations of the effect, e.g. in water and clathrate hydrates, it is defined by the phase transition timing. However, none of the theoretical investigations so far considered the timing of the phase transition, and most of the abstract models used to explore the Mpemba effect do not have a phase transition. We use the phenomenological Landau theory for phase transitions to identify the second order phase transition time, and demonstrate with a concrete example that a Mpemba effect can exist in such models.
