Mean entropy of states in classical statistical mechanics |
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Authors: | Derek W. Robinson David Ruelle |
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Affiliation: | (1) CERN, Geneva;(2) I.H.E.S., Bures-sur-Yvette, France |
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Abstract: | The equilibrium states for an infinite system of classical mechanics may be represented by states over AbelianC* algebras. We consider here continuous and lattice systems and define a mean entropy for their states. The properties of this mean entropy are investigated: linearity, upper semi-continuity, integral representations. In the lattice case, it is found that our mean entropy coincides with theKolmogorov-Sinai invariant of ergodic theory. |
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