In thermodynamics, Massieu function (sometimes called Massieu–Gibbs function, Massieu potential, or Gibbs function, or characteristic (state) function in its original terminology), symbol (Psi), is defined by the following relation: where for every system with degree of freedom r one may choose r variables, e.g. , to define a coordinate system, where X and Y are extensive and intensive variables, respectively, and where at least one extensive variable must be within this set in order to define the size of the system. The (r + 1)-th variable, , is then called the Massieu function.
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- Massieu function (en)
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| - In thermodynamics, Massieu function (sometimes called Massieu–Gibbs function, Massieu potential, or Gibbs function, or characteristic (state) function in its original terminology), symbol (Psi), is defined by the following relation: where for every system with degree of freedom r one may choose r variables, e.g. , to define a coordinate system, where X and Y are extensive and intensive variables, respectively, and where at least one extensive variable must be within this set in order to define the size of the system. The (r + 1)-th variable, , is then called the Massieu function. (en)
- Les fonctions de Massieu sont des fonctions établies par François Massieu dans le cadre de la thermodynamique. Il s'agit de potentiels thermodynamiques, Massieu étant, dans ses deux courtes publications parues en 1869, l'inventeur de cette notion, qu'il appelle fonction caractéristique. (fr)
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| - In thermodynamics, Massieu function (sometimes called Massieu–Gibbs function, Massieu potential, or Gibbs function, or characteristic (state) function in its original terminology), symbol (Psi), is defined by the following relation: where for every system with degree of freedom r one may choose r variables, e.g. , to define a coordinate system, where X and Y are extensive and intensive variables, respectively, and where at least one extensive variable must be within this set in order to define the size of the system. The (r + 1)-th variable, , is then called the Massieu function. The Massieu function was introduced in the 1869 paper "On the Characteristic Functions of Various Fluids" by French engineer François Massieu (1832-1896). The name "Gibbs function" is the eponym of American physicist Willard Gibbs (1839-1903), who cited Massieu in his 1876 On the Equilibrium of Heterogeneous Substances. Massieu, as discussed in the first footnote to the abstract of Gibbs' Equilibrium, “appears to have been the first to solve the problem of representing all the properties of a body of invariable composition which are concerned in reversible processes by means of a single function.” Massieu's 1869 paper seems to be the source for the generalized mathematical conception of the energy of a system being equal to summations of the products of pairs of conjugate variables. (en)
- Les fonctions de Massieu sont des fonctions établies par François Massieu dans le cadre de la thermodynamique. Il s'agit de potentiels thermodynamiques, Massieu étant, dans ses deux courtes publications parues en 1869, l'inventeur de cette notion, qu'il appelle fonction caractéristique. Ces fonctions ont pour particularité d'utiliser comme variable l'inverse de la température plutôt que la température et d'être homogènes avec une entropie plutôt qu'avec une énergie : elles s'expriment en joules par kelvin, J/K. De plus elles croissent dans une transformation spontanée et atteignent un maximum à l'équilibre thermodynamique, alors qu'un potentiel thermodynamique « classique » décroît et atteint un minimum. (fr)
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