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Entropy 2008, 10(3), 224-239; doi:10.3390/entropy-e10030224

Qualitative Picture of Scaling in the Entropy Formalism

Faculty of Physics, University of Bielefeld, D-33615 Bielefeld, Germany
Received: 30 June 2008 / Revised: 27 August 2008 / Accepted: 2 September 2008 / Published: 5 September 2008
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Abstract

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.
Keywords: Critical phenomena; microcanonical entropy; scaling relations; Gaussian and spherical model Critical phenomena; microcanonical entropy; scaling relations; Gaussian and spherical model
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Behringer, H. Qualitative Picture of Scaling in the Entropy Formalism. Entropy 2008, 10, 224-239.

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