Abstract
We consider a thermodynamic system consisting ofn independent subsystems. Each subsystem is described by a HamiltonianH=H 0+α i H 1,i=1, 2,...,n. We answer the question of how the entiretyα=(α 1,α 2,...,α n) must be varied in order to change the total partition function and the total free energy of the system monotonically.
This is a preview of subscription content, log in via an institution to check access.
References
N. N. Bogoljubov, Jr.,Physica 32:933 (1966).
S. Okubo and A. Isihara,Physica 59:228 (1972).
A. W. Marshall and I. Olkin,Inequalities. Theory of Majorization and Its Applications (Academic Press, New York, 1979).
T. Ando,Majorization, Doubly Stochastic Matrices and Comparison of Eigenvalues (Hokkaido University Press, Sapporo, Japan, 1982).
P. M. Alberti and A. Uhlmann,Dissipative Motion in State Spaces (B. G. Teubner, Leipzig, 1981).
W. Thirring,Lehrbuch der Mathematischen Physik, Band 4 (Springer, Vienna, 1980).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zylka, C. An inequality for partition functions with disturbed Hamiltonians. J Stat Phys 60, 281–284 (1990). https://doi.org/10.1007/BF01013679
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01013679