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Boltzmannian non-equilibrium and local variables

Frigg, Roman ORCID: 0000-0003-0812-0907 and Werndl, Charlotte (2022) Boltzmannian non-equilibrium and local variables. In: Soto, Cristián, (ed.) Current debates in philosophy of science: in honor of Roberto Torretti. Routledge, Abingdon-on-Thames, UK. (In Press)

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Abstract

Boltzmannian statistical mechanics (BSM) partitions a system’s space of microstates into cells and refers to these cells as ‘macro-states’. One of these cells is singled out as the equilibrium macro-state while the others are non-equilibrium macro-states. It remains unclear, however, how these states are characterised at the macro-level as long as only real-valued macro-variables are available. We argue that physical quantities like pressure and temperature should be treated as field-variables and show how field variables fit into the framework of our own version of BSM, the long-run residence time account of BSM. The introduction of field variables into the theory makes it possible to give a full macroscopic characterisation of the approach to equilibrium.

Item Type: Book Section
Additional Information: © 2022 Routledge
Divisions: Philosophy, Logic and Scientific Method
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Date Deposited: 11 Apr 2022 14:21
Last Modified: 27 Apr 2022 14:18
URI: http://eprints.lse.ac.uk/id/eprint/114859

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