Derivation of classical and quantum statistical distributions

Autor:	N. C. Barford
Rok vydání:	1976
Předmět:	Physics symbols.namesake Boltzmann constant symbols General Physics and Astronomy Probability distribution Statistical physics Statistical weight Quantum statistical mechanics Thermal physics Quantum Microstate (statistical mechanics)
Zdroj:	American Journal of Physics. 44:940-943
ISSN:	1943-2909 0002-9505
DOI:	10.1119/1.10236
Popis:	An elementary method is described for deriving the Boltzmann, Fermi–Dirac, and Bose–Einstein distributions that neither uses Lagrange undetermined multipliers nor requires a knowledge of Stirling’s approximation for ln(n!). Apart from giving a more direct account of the optimal properties of these distributions, which may be useful when first introducing statistical thermodynamics, the method also shows clearly how the validity of the distributions depends upon the size of the system. Extensions of the method demonstrate the statistical origin of temperature and the dominance of the most probable macrostate.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::88254ec93f0af36d7f451e8a2c911a22 https://doi.org/10.1119/1.10236 Zobrazit plný text záznamu