microcanonical love

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • adj. Describing any closed system of constant volume which is thermally isolated from its surroundings, and whose total energy is constant and is known

from The Century Dictionary and Cyclopedia

  • In statistical mechanics, of or pertaining to a distribution in phase such that all the systems of an ensemble have the same energy.

Etymologies

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Examples

  • Per Shang-Keng Ma, an entropy can be defined as the logarithm of the phase-space volume explored by the system over a given timescale; the states relevant for thermodynamics (mumble mumble microcanonical mumble mumble) would be the decategorification of the states used at the statistical-mechanical level.

    Arrow of Time FAQ

  • Indefinitely many distinct microcanonical ensembles of a token volume of gas molecules can yield the same mean molecular kinetic energy.

    Multiple Realizability

  • One might then still conjecture that if the system is quasi-ergodic, the only continuous stationary distribution is microcanonical.

    Boltzmann's Work in Statistical Physics

  • In other words, the only stationary probability with fixed total energy is the microcanonical distribution. ρmc = δ (H (x) ˆ’ E), where δ is Dirac's delta function.

    Boltzmann's Work in Statistical Physics

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