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Jump Enhancement of Nucleation in Polymer and Carbon Dioxide Mixtures by Metastable Phase Transition
https://resolver.caltech.edu/CaltechAUTHORS:20130603102554449
Authors: {'items': [{'id': 'XuXiaofei', 'name': {'family': 'Xu', 'given': 'Xiaofei'}}, {'id': 'CristanchoDE', 'name': {'family': 'Cristancho', 'given': 'Diego E.'}}, {'id': 'CosteuxS', 'name': {'family': 'Costeux', 'given': 'StĂ©phane'}}, {'id': 'WangZhenGang', 'name': {'family': 'Wang', 'given': 'ZhenGang'}, 'orcid': '0000000233616114'}]}
Year: 2012
We combine a newly developed densityfunctional theory with string method to calculate minimum
free energy path of bubble nucleation in compressible poly(methyl methacrylate)CO_2 mixtures. As
increasing initial pressure in the vicinity of a metstable phase transition, the terminal nucleated
state jumps from the branch of CO_2 richvapor phase to the branch of CO_2 richliquid phase with
a jump reduction for free energy barrier and radius of critical nucleus. This result suggests that
the nucleation rate is enhanced as a jump discontinuous function of the initial pressure around the
boundary of metastable phase transition.
https://authors.library.caltech.edu/records/h4j1tqsb60

Variational Methods in Statistical Thermodynamicsâ€”A Pedagogical Introduction
https://resolver.caltech.edu/CaltechAUTHORS:20170711101657842
Authors: {'items': [{'id': 'WangZhenGang', 'name': {'family': 'Wang', 'given': 'ZhenGang'}, 'orcid': '0000000233616114'}]}
Year: 2016
DOI: 10.1007/9789811025020_1
This chapter presents a pedagogical introduction to the variational methods in statistical thermodynamics. We start with some general considerations of the variational nature of thermodynamics, which is rooted in the second law, and manifested in the maximumterm method in the evaluation of the partition function in statistical mechanics. We present two common mathematical variational techniques, one based on the GibbsBogoliubovFeynman (GBF) variational bound and one based on the saddlepoint (or steepestdescent) method. We illustrate the use of these techniques in the derivation of the meanfield theory for Ising model and the PoissonBoltzmann equation. We also show that the GBF method provides a selfconsistent treatment of fluctuation effects in weakly correlated systems.
https://authors.library.caltech.edu/records/9s3heybz42