On the Use of Approximations in Statistical Physics

Details On the Use of Approximations in Statistical Physics On the Use of Approximations in Statistical Physics

2003-09-29

arxiv.org/abs/physics/0309119v2

Physics

General Physics

4 pages, no figures, affiliation change

Scientific paper

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.

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