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- W2494152242 abstract "Abstract This chapter begins with a rapid introduction to the definition and construction of the statistical ensembles, following the lines that are usually offered in the basics courses on statistical mechanics. The reader is assumed to be already acquainted with thermodynamics and basic statistical mechanics, but the introduction is self-contained. It is then shown that with short-range interactions the ensembles are physically equivalent, even in the presence of phase transitions. This is done by introducing the notions of concave functions, of stable and tempered potentials, and the Legendre-Fenchel transform of thermodynamic functions. The concavity of the entropy is at the basis of ensemble equivalence. Finally, the concepts of microstate and macrostate are analysed; they are very important for the study of ensemble equivalence or inequivalence in long-range systems." @default.
- W2494152242 created "2016-08-23" @default.
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- W2494152242 creator A5039001674 @default.
- W2494152242 creator A5046499549 @default.
- W2494152242 creator A5073176948 @default.
- W2494152242 date "2014-08-28" @default.
- W2494152242 modified "2023-09-25" @default.
- W2494152242 title "Basics of Statistical Mechanics of Short-Range Interacting Systems" @default.
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