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On the second law of thermodynamics

Henriksson, Andreas (2019) On the second law of thermodynamics. [Preprint]

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Abstract

In this article, it is argued that, for a classical Hamiltonian system which is closed, the ergodic theorem emerge from the Gibbs-Liouville theorem in the limit that the system has evolved for an infinitely long period of time. In this limit, from the perspective of an ignorant observer, who do not have perfect knowledge about the complete set of degrees of freedom for the system, distinctions between the possible states of the system, i.e. the information content possessed by the observer, is lost. This lead to the notion of statistical equilibrium where states are assigned equal probabilities. Finally, by linking the concept of entropy, which gives a measure for the amount of uncertainty, with the concept of information, the second law of thermodynamics is expressed in terms of the tendency of an observer to loose information over time. This tendency is then argued to define the arrow of time.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Henriksson, Andreasandreas.henriksson@skole.rogfk.no0000-0001-9014-4320
Keywords: Gibbs-Liouville theorem; Reversibility; Ergodic theorem; Statistical equilibrium; Second law of thermodynamics; Arrow of time
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Mr. Andreas Henriksson
Date Deposited: 08 Nov 2019 02:16
Last Modified: 08 Nov 2019 02:16
Item ID: 16621
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 8 May 2019
URI: http://philsci-archive.pitt.edu/id/eprint/16621

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