Fractional calculus and regular variation in thermodynamics. (Q2773693)
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scientific article; zbMATH DE number 1710314
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional calculus and regular variation in thermodynamics. |
scientific article; zbMATH DE number 1710314 |
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24 February 2002
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statistical thermodynamics
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thermodynamics
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Legendre transform
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response functions
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fractional integral
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convex functions
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phase transitions
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fractional derivatives
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Fractional calculus and regular variation in thermodynamics. (English)
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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.NEWLINENEWLINEFor the entire collection see [Zbl 0998.26002].
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