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Microcanonical entropy for classical systems

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  • Franzosi, Roberto

Abstract

The entropy definition in the microcanonical ensemble is revisited. We propose a novel definition for the microcanonical entropy that resolve the debate on the correct definition of the microcanonical entropy. In particular we show that this entropy definition fixes the problem inherent the exact extensivity of the caloric equation. Furthermore, this entropy reproduces results which are in agreement with the ones predicted with standard Boltzmann entropy when applied to macroscopic systems. On the contrary, the predictions obtained with the standard Boltzmann entropy and with the entropy we propose, are different for small system sizes. Thus, we conclude that the Boltzmann entropy provides a correct description for macroscopic systems whereas extremely small systems should be better described with the entropy that we propose here.

Suggested Citation

  • Franzosi, Roberto, 2018. "Microcanonical entropy for classical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 302-307.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:302-307
    DOI: 10.1016/j.physa.2017.12.059
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    Cited by:

    1. Seifert, Udo, 2020. "Entropy and the second law for driven, or quenched, thermally isolated systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).

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    Keywords

    Microcanonical ensemble;

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