The Gibbs rotational ensemble represents the possible states of a mechanical system in thermal and rotational equilibrium at temperature and angular velocity .[1] The Jaynes procedure can be used to obtain this ensemble.[2] An ensemble is the set of microstates corresponding to a given macrostate.
The Gibbs rotational ensemble assigns a probability to a given microstate characterized by energy and angular momentum for a given temperature and rotational velocity .[1][3]
where is the partition function
^ abGibbs, Josiah Willard (2010) [1902]. Elementary Principles in Statistical Mechanics: Developed with Especial Reference to the Rational Foundation of Thermodynamics. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511686948. ISBN 9781108017022.
^Thomson, Mitchell; Dyer, Charles C. (2012-03-29). "Black Hole Statistical Mechanics and The Angular Velocity Ensemble". arXiv:1203.6542 [gr-qc].
^Jaynes, Edwin Thompson; Heims, S.P. (1962). "Theory of Gyromagnetic Effects and Some Related Magnetic Phenomena". Reviews of Modern Physics. 34 (2): 143–165. Bibcode:1962RvMP...34..143H. doi:10.1103/RevModPhys.34.143.
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(link) Reguera, D.; Rubí, J.M. (2001), "Nonequilibrium translational-rotational effects in nucleation", The Journal of Chemical Physics, 115 (15): 7100–7106...
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instance, the motion of a spacecraft, regarding its orbit and attitude (rotation), is described by the relativistic theory of classical mechanics, while...
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from the middle point, M, of the interval AB. Time is then defined as the ensemble of the indications of similar clocks, at rest relative to K, which register...
written by Madeline Twomey, Ben Weisman and Elaine Wise, recorded by Georgia Gibbs, 1951. "Oklahoma Porch Song" – Brad Fielder, 2009. "Oklahoma Promise" –...
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advent of quantum mechanics. It leads to a difficulty known as the Gibbs paradox. Gibbs showed that in the equation Z = ξN, the entropy of a classical ideal...
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