Statistical ensemble (mathematical physics) | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-24

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Statistical_ensemble_(mathematical_physics)


00:00:44 1 Physical considerations
00:02:05 1.1 Terminology
00:02:40 2 Principal ensembles of statistical thermodynamics
00:05:17 3 Representations of statistical ensembles in statistical mechanics
00:06:10 3.1 Requirements for representations
00:06:30 3.2 Quantum mechanical
00:09:35 3.3 Classical mechanical
00:14:20 3.3.1 Correcting overcounting in phase space
00:17:49 4 Ensembles in statistics
00:19:02 5 Operational interpretation
00:22:30 6 See also



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SUMMARY
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In mathematical physics, especially as introduced into statistical mechanics and thermodynamics by J. Willard Gibbs in 1902, an ensemble (also statistical ensemble) is an idealization consisting of a large number of virtual copies (sometimes infinitely many) of a system, considered all at once, each of which represents a possible state that the real system might be in. In other words, a statistical ensemble is a probability distribution for the state of the system.A thermodynamic ensemble is a specific variety of statistical ensemble that, among other properties, is in statistical equilibrium (defined below), and is used to derive the properties of thermodynamic systems from the laws of classical or quantum mechanics.