Solution of the Gibbs paradox in the framework of classical mechanics (Statistical physics) and crystallization of the gas \(C _{60}\). (English. Russian original) Zbl 1157.82003
Math. Notes 83, No. 5, 716-722 (2008); translation from Mat. Zametki 83, No. 5, 787-791 (2008).
This note proposes a new statistics for classical statistical mechanics which is different from Boltzmann statistics. In the new statistics, the particles can be regarded as distinguishable as well as indistinguishable depending on the aspect of the system of particles that we are interested in. It introduces a distribution of Bose-Einstein type into the classical statistical mechanics and explains the Gibbs paradox: If the number of particles is greater than the maximal number, then the velocity of the “superfluous” particles turns out to be much less than the mean velocity of particles in the gas.
Reviewer: Hiroshi Tamura (Kanazawa)
MSC:
| 82B05 | Classical equilibrium statistical mechanics (general) |
| 82B21 | Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics |
Keywords:
Gibbs paradox; crystallization; the gas \(C_{60}\); gas-liquid equilibrium state; Bose-Einstein distribution; Maxwell distribution; fullerene; saturated vaporReferences:
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