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Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics

Dados Bibliográficos

ID8398705
AutoresJohn Earman (University of Pittsburgh), Miklós Rédei (0000-0001-5298-1443, University of Pittsburgh)
Ano1996
Volume47
Fascículo1
Páginas63-78
Data de publicação1996-03-01
Peer ReviewedSim
Open AccessNão
TipoARTICLE
PeriódicoThe British Journal for the Philosophy of Science (JOURNAL)
Identificadores do periódicoISSN: 0007-0882 • E-ISSN: 1464-3537
EditoraOxford University Press (PUBLISHER • GB)
DOI10.1093/bjps/47.1.63
OpenAlexW2053428210
IdiomaEN
Citações recebidas29
Referências citadas14

We argue that, contrary to some analyses in the philosophy of science literature, ergodic theory falls short in explaining the success of classical equilibrium statistical mechanics. Our claim is based on the observations that dynamical systems for which statistical mechanics works are most likely not ergodic, and that ergodicity is both too strong and too weak a condition for the required explanation: one needs only ergodic-like behaviour for the finite set of observables that matter, but the behaviour must ensure that the approach to equilibrium for these observables is on the appropriate time-scale.

Classical mechanics · Epistemology · Ergodic theory · Ergodicity · Invariant measure · Mathematical analysis · Mathematical economics · Observable · Physics · Quantum mechanics · Stationary ergodic process · Statistical Mechanics · Statistical physics · Statistics · Theoretical physics · Advanced Thermodynamics and Statistical Mechanics · Mathematics · Philosophy · Philosophy and History of Science · Statistical Mechanics and Entropy

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Obras citantes distintas29
Citações por ano1
Intervalo de citações1997 - 2022 (26)
Velocidade de citaçãohistorical
Altamente citadoNão
Tipos de citaçãoNeutras: 20
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