Boltzmannian Equilibrium in Stochastic Systems

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. 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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Author Profiles

Charlotte Sophie Werndl
London School of Economics
Roman Frigg
London School of Economics

Citations of this work

Can somebody please say what Gibbsian statistical mechanics says?Roman Frigg & Charlotte Werndl - 2018 - British Journal for the Philosophy of Science:1-27.
Philosophy of statistical mechanics.Lawrence Sklar - 2008 - Stanford Encyclopedia of Philosophy.
When does a Boltzmannian equilibrium exist?Charlotte Werndl & Roman Frigg - 2016 - In Daniel Bedingham, Owen Maroney & Christopher Timpson (eds.), Quantum Foundations of Statistical Mechanics. Oxford, U.K.: Oxford University Press.

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References found in this work

Taking Thermodynamics Too Seriously.Craig Callender - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (4):539-553.
Are deterministic descriptions and indeterministic descriptions observationally equivalent?Charlotte Werndl - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):232-242.
Rethinking boltzmannian equilibrium.Charlotte Werndl & Roman Frigg - 2015 - Philosophy of Science 82 (5):1224-1235.

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