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