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In Search of the Holy Grail

How to Reduce the Second Law of Thermodynamics

Bibliographic Data

ID8398693
AuthorsKatie Robertson (0000-0002-0645-0761, University of Birmingham, corresponding author)
Year2022
Volume73
Issue4
Pages987-1020
Publication date2022-12-01
Peer ReviewedYes
Open AccessNo
TypeARTICLE
VenueThe British Journal for the Philosophy of Science (JOURNAL)
Journal identifiersISSN: 0007-0882 • E-ISSN: 1464-3537
PublisherUniversity of Chicago Press (PUBLISHER • US)
DOI10.1086/714795
OpenAlexW3042424768
LanguageEN
Citations received6
References cited62

The search for the statistical mechanical underpinning of thermodynamic irreversibility has so far focussed on the spontaneous approach to equilibrium. But this is the search for the underpinning of what Brown and Uffink have dubbed the ‘minus first law’ of thermodynamics. In contrast, the second law tells us that certain interventions on equilibrium states render the initial state ‘irrecoverable’. In this article, I discuss the unusual nature of processes in thermodynamics, and the type of irreversibility that the second law embodies. I then search for the microscopic underpinning or statistical mechanical ‘reductive basis’ of the second law of thermodynamics by taking a functionalist strategy. First, I outline the functional role of the thermodynamic entropy: for a thermally isolated system, the thermodynamic entropy is constant in quasi-static processes, but increasing in non-quasi-static processes. I then search for the statistical mechanical quantity that plays this role—rather than the role of the traditional ‘holy grail’ as described by Callender. I argue that in statistical mechanics, the Gibbs entropy plays this role

Entropy (arrow of time · First law · Holy Grail · Laws of thermodynamics · Mathematical economics · Non-equilibrium thermodynamics · Physics · Second law of thermodynamics · Statistical Mechanics · Statistical physics · Theoretical physics · Thermodynamics · Underpinning · Advanced Thermodynamics and Statistical Mechanics · Computer Science · Engineering · Mathematics · Quantum Mechanics and Applications · Statistical Mechanics and Entropy

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    Ilya Prigogine•From being to becoming•1980

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    Open Access•C P Snow, Stefan Collini•Two Cultures•1993

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  • How to Define Theoretical Terms

    David Lewis•The Journal of Philosophy•1970

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    Open Access•E T Jaynes•Physical Review D•1957

  • Making Sense of Emergence

    Open Access•Jaegwon Kim•Philosophical Studies•1999

  • The Direction of Time

    Maria Reichenbach, P Morrison•Physics Today•1956

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    Open Access•David B Malament, Sandy L Zabell•Philosophy of Science•1980

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Unique citing works6
Citations per year1,5
Citation span2022 - 2025 (4)
Citation velocityrecent
Highly citedNo
Citation typesNeutral: 6

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