English

On the Use of Approximations in Statistical Physics

General Physics 2007-05-23 v2 Physics Education

Abstract

Two approximations are frequently used in statistical physics: the first one, which we shall name the mean values approximation, is generally (and improperly) named as "maximum term approximation". The second is the "Stirling approximation". In this paper we demonstrate that the error introduced by the first approximation is exactly compensated by the second approximation in the calculation of mean values of multinomial distributions.

Keywords

Cite

@article{arxiv.physics/0309119,
  title  = {On the Use of Approximations in Statistical Physics},
  author = {Conrado Hoffmann},
  journal= {arXiv preprint arXiv:physics/0309119},
  year   = {2007}
}

Comments

4 pages, no figures, affiliation change

R2 v1 2026-07-22T18:57:16.628Z