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Ambiguities in order-theoretic formulations of thermodynamics

Marsland III, Robert and Brown, Harvey R. and Valente, Giovanni (2014) Ambiguities in order-theoretic formulations of thermodynamics. [Preprint]

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Abstract

Since the 1909 work of Carathéodory, formulations of thermodynamics have gained ground which highlight the role of the the binary relation of adiabatic accessibility between equilibrium states. A feature of Carathéodory's system is that the version therein of the second law contains an ambiguity about the nature of irreversible adiabatic processes, making it weaker than the traditional Kelvin-Planck statement of the law. This paper attempts first to clarify the nature of this ambiguity, by defining the arrow of time in thermodynamics by way of the Equilibrium Principle ("Minus First Law''). It then argues that the ambiguity reappears in the important 1999 axiomatisation due to Lieb and Yngvason.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Marsland III, Robertmarsland@mit.edu
Brown, Harvey R.harvey.brown@philosophy.ox.ac.uk
Valente, Giovannivalente@pitt.edu
Keywords: thermodynamics, Carathéodory, Lieb and Yngvason, second law, adiabatic accessibility
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
General Issues > Structure of Theories
Depositing User: Prof Harvey R Brown
Date Deposited: 29 Jul 2014 16:16
Last Modified: 29 Jul 2014 16:16
Item ID: 10916
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
General Issues > Structure of Theories
Date: 29 July 2014
URI: http://philsci-archive.pitt.edu/id/eprint/10916

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