On the measure-theoretic foundations of the second law of thermodynamics

Alfredo Marzocchi; Alessandro Musesti

doi:10.1142/S0218202502001866

On the measure-theoretic foundations of the second law of thermodynamics

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Abstract

Balance laws of the type of entropy are treated in the framework of geometric measure theory, and a weak version, although conceptually simple, of the Second Law of Thermodynamics is introduced, allowing extensions to measure-valued entropy productions and to sets of finite perimeter as subbodies.

Original language	English
Pages (from-to)	721-736
Number of pages	16
Journal	Mathematical Models and Methods in Applied Sciences
DOIs	https://doi.org/10.1142/S0218202502001866
Publication status	Published - 2002

Keywords

Cauchy interactions
entropy
sets with finite perimeter

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title = "On the measure-theoretic foundations of the second law of thermodynamics",

abstract = "Balance laws of the type of entropy are treated in the framework of geometric measure theory, and a weak version, although conceptually simple, of the Second Law of Thermodynamics is introduced, allowing extensions to measure-valued entropy productions and to sets of finite perimeter as subbodies.",

keywords = "Cauchy interactions, entropy, sets with finite perimeter, Cauchy interactions, entropy, sets with finite perimeter",

author = "Alfredo Marzocchi and Alessandro Musesti",

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AU - Marzocchi, Alfredo

AU - Musesti, Alessandro

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AB - Balance laws of the type of entropy are treated in the framework of geometric measure theory, and a weak version, although conceptually simple, of the Second Law of Thermodynamics is introduced, allowing extensions to measure-valued entropy productions and to sets of finite perimeter as subbodies.

KW - Cauchy interactions

KW - entropy

KW - sets with finite perimeter

KW - Cauchy interactions

KW - entropy

KW - sets with finite perimeter

UR - http://hdl.handle.net/10807/130909

U2 - 10.1142/S0218202502001866

DO - 10.1142/S0218202502001866

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SP - 721

EP - 736

JO - Mathematical Models and Methods in Applied Sciences

JF - Mathematical Models and Methods in Applied Sciences

ER -

On the measure-theoretic foundations of the second law of thermodynamics

Abstract

Keywords

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