Studies in History and Philosophy of Science Part B 37 (3):431-438 (2006)
|Abstract||Boltzmann’s approach to statistical mechanics is widely believed to be conceptually superior to Gibbs’ formulation. However, the microcanonical distribution often fails to behave as expected: The ergodicity of the motion relative to it can rarely be established for realistic systems; worse, it can often be proved to fail. Also, the approach involves idealizations that have little physical basis. Here we take Khinchin’s advice and propose a de…nition of equilibrium that is more realistic: The de…nition re‡ects the fact that the system is made of a great number of particles, and implies that all measurable macroscopic observables have steady values.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Massimiliano Badino (2006). The Foundational Role of Ergodic Theory. Foundations of Science 11 (4).
Stephen Leeds (1989). Malament and Zabell on Gibbs Phase Averaging. Philosophy of Science 56 (2):325-340.
Janneke van Lith (2001). Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics. Studies in History and Philosophy of Science Part B 32 (4):581-594.
Janneke van Lith (2001). Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics. Studies in History and Philosophy of Modern Physics 32 (4):581--94.
John Earman & Miklós Rédei (1996). Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics. British Journal for the Philosophy of Science 47 (1):63-78.
David Lavis (2008). Boltzmann, Gibbs, and the Concept of Equilibrium. Philosophy of Science 75 (5):682-696.
Itamar Pitowsky (2001). Local Fluctuations and Local Observers in Equilibrium Statistical Mechanics. Studies in History and Philosophy of Science Part B 32 (4):595-607.
Robert W. Batterman (1998). Why Equilibrium Statistical Mechanics Works: Universality and the Renormalization Group. Philosophy of Science 65 (2):183-208.
Added to index2009-01-28
Total downloads12 ( #93,408 of 549,118 )
Recent downloads (6 months)0
How can I increase my downloads?