By Ilya Prigogine, Stuart A. Rice
Advances in Chemical Physics, quantity 127 covers contemporary advances on the leading edge of study relative to chemical physics. The sequence, Advances in Chemical Physics, offers a discussion board for serious, authoritative reviews of advances in each zone of the self-discipline.
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Extra info for Advances in Chemical Physics (Volume 127)
The method is bootstrapped by an ES measurement of the full canonical distribution of a suitable order parameter, at some point on the coexistence curve [identiﬁed by the equal areas criterion speciﬁed in Eq. (10)]. 46 alastair d. bruce and nigel b.
We can make the problem look different (and possibly make it easier) by choosing to express it in terms of coordinates that are in some sense ‘‘matched’’ to each phase. The simplest useful possibility is provided by an appropriate linear transformation fqg ¼ fqgREF þ ta ðfugÞ a ð44Þ One can think of fqgREF as some reference point in the conﬁguration space of a phase a and fug as a ‘‘displacement’’ from that point, modulo some rotation or dilation, prescribed by the operation ta . The single-phase partition function in Eq.
The conﬁgurations that dominate those macrostates. The results of the ‘‘search’’ can sometimes be a little unexpected [47, 48]. But in the case of the liquid– vapor interphase path picked out by choosing the density as order parameter, the results of the search are clear a priori: The conﬁgurations dominating such a path will show two physically distinct regions, each housing one of the two phases, separated by an interface. The dominance of this kind of conﬁguration is recognized in arguments that establish the convexity of the free energy in the thermodynamic limit and the way in which that limit is approached ; this picture also allows one to understand the depth of the probability ravine to be traversed .
Advances in Chemical Physics (Volume 127) by Ilya Prigogine, Stuart A. Rice