 01123 Bernhard Baumgartner
 A partial ordering of sets, making mean entropy monotone
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Mar 30, 01

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Abstract. Consider a state of a system with several subsystems. The entropies of the
reduced state on different subsystems obey certain inequalities, provided
there is an equivalence relation, and a function measuring volumes or
weights of subsystems. The entropy per unit volume or unit weight, the
mean entropy, is then decreasing with respect to an order relation of the
subsystems, defined in this paper. In the context of statistical mechanics
a lattice system is studied in detail, and a decrease of mean energy is
deduced for blowup sequences of regular and irregular octogons.
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