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L’ensemble microcanonique

Physique Statistique (L3) ENS-Lyon UCBL (Lyon 1). Frédéric Caupin. L’ensemble microcanonique. Les ensembles de Gibbs.

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L’ensemble microcanonique

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  1. Physique Statistique (L3) ENS-Lyon UCBL (Lyon 1) Frédéric Caupin L’ensemblemicrocanonique

  2. Les ensembles de Gibbs “We may imagine a great number of systems of the same nature, but differing in the configurations and velocities which they have at a given instant, and differing not merely infinitesimally, but it may be so as to embrace every conceivable combination of configuration and velocities. And here we may set the problem, not to follow a particular system through its succession of configurations, but to determine how the whole number of systems will be distributed among the various conceivable configurations and velocities at any required time, when the distribution has been given for some one time What we know about a body can generally be described most accurately and most simply by saying that it is one taken at random from a great number (ensemble) of bodies which are completely described” Josiah Willard Gibbs 1839-1903 • Elementary principles in statistical mechanics,1902

  3. Ludwig Boltzmann 1844-1906

  4. Ludwig Boltzmann 1844-1906 S = kB ln  même si (d’après Uffink 2006) Boltzmann n’a pas écrit cette formule, mais :  kB dans les unitésde Boltzmann S

  5. Ludwig Boltzmann 1844-1906 Cédric Villani interviendra pendant le cours du 14 mars 2012

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