LVIII. The derivation of statistical expressions from Gibbs' canonical ensemble
- 1 June 1949
- journal article
- research article
- Published by Taylor & Francis in Journal of Computers in Education
- Vol. 40 (305) , 626-631
- https://doi.org/10.1080/14786444908561288
Abstract
The origin of Gibbs' canonical ensemble and the associated partition sum is briefly discussed. It is then shown that for assemblies of particles obeying the Boltzmann, Einstein-Bose or Fermi-Dirac conditions the partition sum possesses some simple properties from which the known expressions for the average distribution in energy of particles are derived elementarily without reference to either Stirling's formula or the method of steepest descent.Keywords
This publication has 1 reference indexed in Scilit:
- XLIV. On the partition of energyJournal of Computers in Education, 1922