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Boltzmannian Non-Equilibrium and Local Variables

Frigg, Roman and Werndl, Charlotte (2020) Boltzmannian Non-Equilibrium and Local Variables. [Preprint]

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Boltzmannian statistical mechanics (BSM) partitions a system's space of micro-states 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.

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Item Type: Preprint
Keywords: Statistical Mechanics, Boltzmann, local variables, fields, macro-state, equilibrium
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User: Roman Frigg
Date Deposited: 17 Jul 2022 06:32
Last Modified: 17 Jul 2022 06:32
Item ID: 20916
Subjects: Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date: 2020

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