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Legendre transforms and their application in thermodynamics
Author(s) -
Beegle Bruce L.,
Modell Michael,
Reid Robert C.
Publication year - 1974
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690200620
Subject(s) - legendre transformation , legendre polynomials , enthalpy , thermodynamics , legendre function , thermodynamic potential , mathematics , stability (learning theory) , derivative (finance) , associated legendre polynomials , physics , mathematical analysis , computer science , classical orthogonal polynomials , gegenbauer polynomials , machine learning , financial economics , economics , orthogonal polynomials
Legendre transform theory is: (1) developed to show the relationships among the common thermodynamic potential functions (that is, energy, enthalpy, and free energy); (2) extended to introduce other potential functions which are particularly convenient in certain applications (for example, stability and critical point phenomena of multicomponent systems). General derivative operators are employed to allow partial derivatives of a given potential functions to be transformed to derivatives of other potential functions.