Qualitative Picture of Scaling in the Entropy Formalism

Entropy

关键词: Critical phenomena;    microcanonical entropy;    scaling relations;    Gaussian and spherical model;   

DOI  :  10.3390/entropy-e10030224

来源: mdpi

【 摘 要 】

The properties of an infinite system at a continuous phase transition are characterised by non-trivial critical exponents. These non-trivial exponents are related to scaling relations of the thermodynamic potential. The scaling properties of the singular part of the specific entropy of infinite systems are deduced starting from the well-established scaling relations of the Gibbs free energy. Moreover, it turns out that the corrections to scaling are suppressed in the microcanonical ensemble compared to the corresponding corrections in the canonical ensemble.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.