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Boltzmannian equilibrium in stochastic systems

Werndl, Charlotte and Frigg, Roman (2016) Boltzmannian equilibrium in stochastic systems. In: Massimi, Michela and Romeijn, Jan-Willem, (eds.) Proceedings of the EPSA15 Conference. Springer, Cham, Switzerland.

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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-varepsilon-equilibrium (Werndl and Frigg 2015a, 2015b). This was done in a deterministic context. We now consider systems with a stochastic microdynamics 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.

Item Type: Book Section
Official URL: http://www.springer.com
Additional Information: © 2016 Springer
Divisions: Philosophy, Logic and Scientific Method
Subjects: Q Science > QA Mathematics
Sets: Departments > Philosophy, Logic and Scientific Method
Date Deposited: 21 Sep 2016 08:42
Last Modified: 12 Jul 2020 23:25
URI: http://eprints.lse.ac.uk/id/eprint/67812

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