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Fractional calculus and regular variation in thermodynamics. (English) Zbl 1046.82009
Hilfer, R. (ed.), Applications of fractional calculus in physics. Singapore: World Scientific (ISBN 981-02-3457-0). 429-463 (2000).
It is known that several analytic and numerical researches of critical points in fluids magnets and other systems require a thorough knowledge of phase transitions. The main object of the last article of this collection is to provide a generalization of the classification of phase transitions in equilibrium thermodynamics by the applications of certain fractional derivatives, already defined in chapter II of this monograph. Finally the article concludes by establishing that the general order of the classical Van der Waals critical point is 4/3 rather than 2.
For the entire collection see [Zbl 0998.26002].

82B30 Statistical thermodynamics
82B26 Phase transitions (general) in equilibrium statistical mechanics
26A33 Fractional derivatives and integrals
80A05 Foundations of thermodynamics and heat transfer