Stars and steam engines: To what extent do thermodynamics and statistical mechanics apply to self-gravitating systems?

Foundational puzzles surround (Newtonian) gravitational thermal physics—a realm in which stars are treated as akin to molecules in a gas. Whether such an enterprise is successful and the domain of thermal physics extends beyond our terrestrial sphere is disputed. There are successes (such as the col...

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Published in:Synthese Vol. 196; no. 5; pp. 1783 - 1809
Main Author: Robertson, Katie
Format: Article
Published: Springer Nature May2019
Subjects:
Online Access:View this record in EBSCOhost
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        10.1007/s11229-018-02032-5
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        atl: Stars and steam engines: To what extent do thermodynamics and statistical mechanics apply to self-gravitating systems?
      aug:
        au: Robertson, Katie
        affil: Department of Philosophy, University of Birmingham, B15 2TT, Birmingham, UK
      su:
        Statistical mechanics
        Thermodynamics
        Physics
        Newton, Isaac, 1642-1727
        Steam engines
      sug:
        subj:
          Statistical mechanics
          Thermodynamics
          Physics
          Newton, Isaac, 1642-1727
          Steam engines
      keyword:
        Reduction
        Self-gravitating systems
        The thermodynamic limit
      ab: Foundational puzzles surround (Newtonian) gravitational thermal physics—a realm in which stars are treated as akin to molecules in a gas. Whether such an enterprise is successful and the domain of thermal physics extends beyond our terrestrial sphere is disputed. There are successes (such as the collisionless Boltzmann equation) and paradoxical features (such as the 'gravothermal catastrophe'). Callender (Found Phys 41(6):960–981, 2011) advocates reconciling the two sides of the dispute by taking a broader view of thermodynamics. Here I argue for an alternative position: if we are careful in distinguishing statistical mechanics and thermodynamics, then no reconciliation is required. Both sides can live in harmony because whilst statistical mechanics applies, thermodynamics does not. This state of affairs—the applicability of statistical mechanics without the emergence of thermodynamic behaviour—can be explained in terms of an infamous infinite idealisation: the thermodynamic limit.
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    language: English
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