Results for 'Lanford'

6 found
  1.  54
    Lanford’s Theorem and the Emergence of Irreversibility.Jos Uffink & Giovanni Valente - 2015 - Foundations of Physics 45 (4):404-438.
    It has been a longstanding problem to show how the irreversible behaviour of macroscopic systems can be reconciled with the time-reversal invariance of these same systems when considered from a microscopic point of view. A result by Lanford shows that, under certain conditions, the famous Boltzmann equation, describing the irreversible behaviour of a dilute gas, can be obtained from the time-reversal invariant Hamiltonian equations of motion for the hard spheres model. Here, we examine how and in what sense (...)’s theorem succeeds in deriving this remarkable result. Many authors have expressed different views on the question which of the ingredients in Lanford’s theorem is responsible for the emergence of irreversibility. We claim that these interpretations miss the target. In fact, we argue that there is no time-asymmetric ingredient at all. (shrink)
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  2.  14
    The Approach Towards Equilibrium in Lanford’s Theorem.Giovanni Valente - 2014 - European Journal for Philosophy of Science 4 (3):309-335.
    This paper develops a philosophical investigation of the merits and faults of a theorem by Lanford , Lanford , Lanford for the problem of the approach towards equilibrium in statistical mechanics. Lanford’s result shows that, under precise initial conditions, the Boltzmann equation can be rigorously derived from the Hamiltonian equations of motion for a hard spheres gas in the Boltzmann-Grad limit, thereby proving the existence of a unique solution of the Boltzmann equation, at least for a (...)
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    Institutional Competition Through Performance Funding: A Catalyst or Hindrance to Teaching and Learning?Michael Lanford - forthcoming - Educational Philosophy and Theory:1-13.
    US colleges and universities have operated on the belief that academics need the freedom to question received wisdom, test new pedagogical methods, and produce knowledge that can be transparently s...
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  4. Compendium of the Foundations of Classical Statistical Physics.Jos Uffink - unknown
    Roughly speaking, classical statistical physics is the branch of theoretical physics that aims to account for the thermal behaviour of macroscopic bodies in terms of a classical mechanical model of their microscopic constituents, with the help of probabilistic assumptions. In the last century and a half, a fair number of approaches have been developed to meet this aim. This study of their foundations assesses their coherence and analyzes the motivations for their basic assumptions, and the interpretations of their central concepts. (...)
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    Why Gibbs Phase Averages Work--The Role of Ergodic Theory.David B. Malament & Sandy L. Zabell - 1980 - Philosophy of Science 47 (3):339-349.
    We propose an "explanation scheme" for why the Gibbs phase average technique in classical equilibrium statistical mechanics works. Our account emphasizes the importance of the Khinchin-Lanford dispersion theorems. We suggest that ergodicity does play a role, but not the one usually assigned to it.
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  6.  16
    Irreversibility in the Derivation of the Boltzmann Equation.Vincent Ardourel - 2017 - Foundations of Physics 47 (4):471-489.
    Uffink and Valente claim that there is no time-asymmetric ingredient that, added to the Hamiltonian equations of motion, allows to obtain the Boltzmann equation within the Lanford’s derivation. This paper is a discussion and a reply to that analysis. More specifically, I focus on two mathematical tools used in this derivation, viz. the Boltzmann–Grad limit and the incoming configurations. Although none of them are time-asymmetric ingredients, by themselves, I claim that the use of incoming configurations, as taken within the (...)
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