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Thermodynamics and Statistical Mechanics Equilibrium by Entropy Maximization

Summary: Thermodynamics and Statistical Mechanics
Equilibrium by Entropy Maximization
Phil Attard
Corrections to the First Edition (2002), as at 11 Jan., 2010.
Pages 810, (and also Appendix A). The discussion of probability and
set theory often implicitly used the same symbol to represent both a specific
macrostate and the entire collective of such macrostates. The presentation
would arguably be clarified by distinguishing these. For example, the label
should be taken to represent a specific macrostate, which comprises all mi-
crostates that have macroscopic value equal to , belonging to the collective
of similar macrostates, (e. g. = 10J, and it belongs to the energy collective).
Macrostates in a given collective must be disjoint, (which means the weight
(, ) = 0 if = and and represent macrostates in the same collective),
but macrostates belonging to different collectives may overlap, (e. g. (, )
may be non-zero if is an energy state in the collective of energy macrostates
and is a volume state in the collective of volume macrostates).
Page 13, following Eq. (1.16): Replace the definition of the average by
f = dx (x)f(x)/W.
Page 72, Eq. (4.58): Replace the right hand side argument (E|N, V, T) by
(E, N|, V, T).


Source: Attard, Phil - School of Chemistry, University of Sydney


Collections: Chemistry