Werndl, Charlotte and Frigg, Roman (2016) Boltzmannian Equilibrium in Stochastic Systems. [Preprint]

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Abstract

Equilibrium is a central concept of statistical mechanics. In previous work we introduced the notions of a Boltzmannian alpha-epsilon-equilibrium and a Boltzmannian gamma-epsilon-equilibrium (Werndl and Frigg 2015a, 2015b). This was done in a deterministic context. We now consider systems with a stochastic micro-dynamics and transfer these notions from the deterministic to the stochastic context. We then prove stochastic equivalents of the Dominance Theorem and the Prevalence Theorem. This establishes that also in stochastic systems equilibrium macro-regions are large in requisite sense.

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Item Type:	Preprint
Creators:	Creators Email ORCID Werndl, Charlotte charlotte.werndl@sbg.ac.at Frigg, Roman r.p.frigg@lse.ac.uk
Additional Information:	forthcoming in: Michela Massimi and Jan-Willem Romeijn (eds): Proceedings of the EPSA15 Conference. Springer.
Keywords:	statistical mechanics stochastic processes Boltzmann equilibrium
Subjects:	Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User:	Charlotte Werndl
Date Deposited:	23 Jul 2016 18:17
Last Modified:	23 Jul 2016 18:17
Item ID:	12300
Subjects:	Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date:	2016
URI:	https://philsci-archive.pitt.edu/id/eprint/12300

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