Thermodynamic potential: Difference between revisions
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'''Thermodynamic potential''' (<math>\Phi</math>). In the [[Landau theory of second order phase transitions]] the thermodynamic potential takes the form of a [[power series]] in the [[order parameters |order parameter]] (<math>\eta</math>) (Ref. 1 Eq. 143.1) | '''Thermodynamic potential''' (<math>\Phi</math>). In the [[Landau theory of second-order phase transitions]] the thermodynamic potential takes the form of a [[power series]] in the [[order parameters |order parameter]] (<math>\eta</math>) (Ref. 1 Eq. 143.1) | ||
:<math>\left.\Phi(P, T, \eta)\right. = \Phi_0 + \alpha(P,T)\eta + A(P,T)\eta^2 + C(P,T)\eta^3 + B(P,T)\eta^4 + ...,</math> | :<math>\left.\Phi(P, T, \eta)\right. = \Phi_0 + \alpha(P,T)\eta + A(P,T)\eta^2 + C(P,T)\eta^3 + B(P,T)\eta^4 + ...,</math> | ||
where ''P'' is the [[pressure]] and ''T'' is the [[temperature]]. | where ''P'' is the [[pressure]] and ''T'' is the [[temperature]]. |
Latest revision as of 12:37, 19 November 2007
Thermodynamic potential (). In the Landau theory of second-order phase transitions the thermodynamic potential takes the form of a power series in the order parameter () (Ref. 1 Eq. 143.1)
where P is the pressure and T is the temperature.
See also[edit]
- Internal energy (U)
- Helmholtz energy function (A)
- Gibbs energy function (G)
- Enthalpy (H)
References[edit]
- L. D. Landau and E. M. Lifshitz, "Statistical Physics" (Course of Theoretical Physics, Volume 5) 3rd Edition Part 1, Pergamon Press (1980)