Integral Inequalities in Thermodynamics
Classical Analysis and ODEs
2019-01-01 v3 Statistical Mechanics
Abstract
Thermodynamic systems involving reversible and non-reversible heat transfer are used to derive integral inequalities expected from the Second of Law of Thermodynamics. Then, the inequalities are proved and generalized to higher dimensions with intended application of being used as a quick way of generating numerous other inequalities such as the Weighted Means Inequality. The proofs also serve as a way of establishing the equivalence of the Planck's statement of the Second Law and the positivity of specific heats.
Cite
@article{arxiv.1602.04495,
title = {Integral Inequalities in Thermodynamics},
author = {Anuj S. Apte},
journal= {arXiv preprint arXiv:1602.04495},
year = {2019}
}
Comments
The conclusion about the physical interpretation of the inequalities does not seem to be correct