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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >First-order phase transitions: equivalence between bimodalities and the Yang-Lee theorem
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First-order phase transitions: equivalence between bimodalities and the Yang-Lee theorem

机译：一阶相变：双峰与杨李定理之间的等价关系

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摘要

First-order phase transitions in finite systems can be defined through the bimodality of the distribution of the order parameter. This definition is equivalent to the one based on the inverted curvature of the thermodynamic potential. Moreover we show that it is in a one-to-one correspondence with the Yang-Lee theorem in the thermodynamic limit. Bimodality is a necessary and sufficient condition for zeroes of the partition sum in the control intensive variable complex plane to be distributed on a line perpendicular to the real axis with a uniform density, scaling like the number of particles. (C) 2003 Elsevier B.V. All rights reserved. [References: 21]
机译：有限系统中的一阶相变可以通过阶数参数分布的双峰来定义。该定义等同于基于热力学势的倒曲率的定义。而且，我们证明它在热力学极限中与杨李定理是一一对应的。双模态是控制密集型可变复平面中零和之和以垂直于实轴且均匀密度分布（像粒子数一样缩放）的线的必要和充分条件。 （C）2003 Elsevier B.V.保留所有权利。 [参考：21]

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