I discuss the validity of a result put forward recently by Chomaz andGulminelli [Physica A 330 (2003) 451] concerning the equivalence of twodefinitions of first-order phase transitions. I show that distributions ofzeros of the partition function fulfilling the conditions of the Yang-LeeTheorem are not necessarily associated with nonconcave microcanonical entropyfunctions or, equivalently, with canonical distributions of the mean energyhaving a bimodal shape, as claimed by Chomaz and Gulminelli. In fact, suchdistributions of zeros can also be associated with concave entropy functionsand unimodal canonical distributions having affine parts. A simple example isworked out in detail to illustrate this subtlety.
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机译：我讨论了Chomaz和Gulminelli [Physica A 330（2003）451]最近提出的关于一阶相变的两个定义的等价结果的有效性。我证明，满足Yang-Lee定理条件的分配函数的零分布不一定与非凹微规范熵函数相关，或者与等价于具有双峰形状的平均能量的规范分布相关，如Chomaz和Gulminelli所声称的那样。实际上，零的这种分布还可以与凹形熵函数和具有仿射部分的单峰规范分布相关联。详细地设计了一个简单的示例来说明这种微妙之处。
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