Why typicality does not explain the approach to equilibrium

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Abstract

Why do systems prepared in a non-equilibrium state approach, and eventually reach, equilibrium? An important contemporary version of the Boltzmannian approach to statistical mechanics answers this question by an appeal to the notion of typicality. The problem with this approach is that it comes in different versions, which are, however, not recognised as such, much less clearly distinguished, and we often find different arguments pursued side by side. The aim of this paper is to disentangle different versions of typicality-based explanations of thermodynamic behaviour and evaluate their respective success. My conclusion will be that the boldest version fails for technical reasons, while more prudent versions leave unanswered essential questions.

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Roman Frigg
London School of Economics

Citations of this work

Typical: A Theory of Typicality and Typicality Explanation.Isaac Wilhelm - 2022 - British Journal for the Philosophy of Science 73 (2):561-581.
The Implementation, Interpretation, and Justification of Likelihoods in Cosmology.C. D. McCoy - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 62:19-35.
Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford University Press. pp. 115-142.

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References found in this work

The emperor’s new mind.Roger Penrose - 1989 - Oxford University Press.
Time and chance.David Z. Albert - 2000 - Cambridge, Mass.: Harvard University Press.
Scientific Explanation.Philip Kitcher & Wesley C. Salmon (eds.) - 1962 - Univ of Minnesota Pr.
Time and Chance.S. French - 2005 - Mind 114 (453):113-116.

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