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An inequality for partition functions with disturbed Hamiltonians
Authors:Ch Zylka
Institution:(1) Department of Physics, Karl Marx University, 7010 Leipzig, German Democratic Republic
Abstract:We consider a thermodynamic system consisting ofn independent subsystems. Each subsystem is described by a HamiltonianH=H 0+agr i H 1,i=1, 2,...,n. We answer the question of how the entiretyagr=(agr 1,agr 2,...,agr n ) must be varied in order to change the total partition function and the total free energy of the system monotonically.
Keywords:Partition function  free energy  inequalities  majorization  Schur-convex functionals
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