The equivalence of ensembles and the Gibbs phase rule for classical lattice systems
The equivalence of ensembles and the Gibbs phase rule for classical lattice systems
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经典格系系综的等价性和吉布斯相律
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发表时间：
1979
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通讯作者：
A. Martin
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作者：
A. Martin
研究了系统趋于无穷时热力学极限下微正则系综、正则系综和大正则系综之间的关系。如果系统中只有一个相，它们是等价的。一般情况下，如果微规范约束唯一地决定了相的体积分数，则表明存在纯相混合的微规范态的唯一极限，那么吉布斯相规则是有效的。在此上下文中，我们将展示如何以自然的方式定义与系统状态相关的一组顺序参数。
We study the relation between the microcanonical, canonical, and grand canonical ensembles in the thermodynamic limit when the system becomes infinite. They are equivalent if there is only one phase in the system. In general it is shown that there is a unique limit of the microcanonical state being a mixture of pure phases if the microcanonical restrictions determine the volume fractions of the phases uniquely, and then the Gibbs phase rule is valid. In this context we show how to define the set of order parameters associated with the state of the system in a natural way.