Premium
The problem of equivalence in statistical mechanics of equilibrium
Author(s) -
Schröter J.,
Wegener R.
Publication year - 1991
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670140504
Subject(s) - mathematics , logarithm , statistical mechanics , equivalence (formal languages) , legendre transformation , laplace transform , mellin transform , mathematical analysis , statistical physics , pure mathematics , physics
The physical problem of the equivalence of certain partition function in statistical mechanics leads to the following mathematical problem: Under what conditions is the logarithm of a Laplace–Stieltjes transform of the so‐called microcanonical partition function equal to a Legendre transform of the logarithm of the latter? The conditions we shall formulate turn out to be physically reasonable.