Potential-Correlation Function Duality in Statistical Mechanics
- 1 October 1967
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 8 (10) , 2143-2146
- https://doi.org/10.1063/1.1705132
Abstract
The Feynman path‐integral formulation is used to analyze the grand‐partition function Z and the n‐body Green's function Gn or rather their cumulants (or connected parts) G̃n for a system governed by p‐body interaction potentials vp. It is shown that the functional relationship expressing G̃n in terms of vp is invariant under the transformation exchanging −(−)mG̃m and vm everywhere. Under the same transformation log Z undergoes a change of sign. The content of these results is discussed in conclusion.Keywords
This publication has 2 references indexed in Scilit:
- Gaussian average method in the statistical theory of the Ising modelThe European Physical Journal A, 1963
- The statistical thermodynamics of a gas with long and short-range forcesPhilosophical Magazine, 1959