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A geometrical measure for entropy changes
Authors:Tova Feldmann  R D Levine  Peter Salamon
Institution:(1) Department of Physical Chemistry, The Hebrew University, 91904 Jerusalem, Israel;(2) Department of Mathematical Sciences, San Diego State University, 92182 San Diego, California
Abstract:The geometrical approach to statistical mechanics is used to discuss changes in entropy upon sequential displacements of the state of the system. An interpretation of the angle between two states in terms of entropy differences is thereby provided. A particular result of note is that any state can be resolved into a state of maximal entropy (both states having the same expectation values for the constraints) and an orthogonal component. A cosine law for the general case is also derived.
Keywords:Entropy changes  statistical mechanics
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