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Optimizing entropy bounds for macroscopic systems
Phys. Rev. E 89, 052137 – Published 27 May, 2014
DOI: https://doi.org/10.1103/PhysRevE.89.052137
Abstract
The universal bound on specific entropy (entropy-to-energy ratio) was originally inferred from black hole thermodynamics. Here we show from classical thermodynamics alone that for a system at fixed volume or fixed pressure, the entropy-to-energy ratio has a unique maximum, . A simple argument from quantum dynamics allows one to set a model-independent upper bound on which is usually much tighter than the universal bound. We illustrate with two examples.
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