Landau theory of phase transitions: Difference between revisions
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In the '''Landau theory of second order phase transitions''' of [[Lev Davidovich Landau]], the thermodynamic potential takes the form of a [[power series]] in the [[order parameters |order parameter]] (<math>\eta</math>) (Ref. 1 Eq. 143.1) | In the '''Landau theory of second order phase transitions''' of [[Lev Davidovich Landau]], 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]]. | ||
Revision as of 12:39, 19 November 2007
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In the Landau theory of second order phase transitions of Lev Davidovich Landau, 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.
References
- Lev Davidovich Landau "", Physikalische Zeitschrift der Sowjetunion 11 pp. 26-47 (1937)
- Lev Davidovich Landau "", Physikalische Zeitschrift der Sowjetunion 11 pp. 545-555 (1937)
- L. D. Landau and E. M. Lifshitz, "Statistical Physics" (Course of Theoretical Physics, Volume 5) 3rd Edition Part 1, Chapter XIV, Pergamon Press (1980)
- A P Cracknell, J Lorenc and J A Przystawa "Landau's theory of second-order phase transitions and its application to ferromagnetism", Journal of Physics C: Solid State Physics 9 pp. 1731-1758 (1976)