Comment on "First-order phase transitions: equivalence between bimodalities and the Yang-Lee theorem"
摘要
I discuss the validity of a result put forward recently by Chomaz and Gulminelli [Physica A 330 (2003) 451] concerning the equivalence of two definitions of first-order phase transitions. I show that distributions of zeros of the partition function fulfilling the conditions of the Yang-Lee Theorem are not necessarily associated with nonconcave microcanonical entropy functions or, equivalently, with canonical distributions of the mean energy having a bimodal shape, as claimed by Chomaz and Gulminelli. In fact, such distributions of zeros can also be associated with concave entropy functions and unimodal canonical distributions having affine parts. A simple example is worked out in detail to illustrate this subtlety.
关键词
引用
@article{arxiv.cond-mat/0503029,
title = {Comment on "First-order phase transitions: equivalence between bimodalities and the Yang-Lee theorem"},
author = {Hugo Touchette},
journal= {arXiv preprint arXiv:cond-mat/0503029},
year = {2007}
}
备注
3 pages, revtex4, 1 figure