Landau theory of phase transitions: Difference between revisions

Revision as of 12:23, 26 November 2007

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 ( $\eta$ ) (Ref. 3 Eq. 143.1)

\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}+...,

where p is the pressure and T is the temperature.

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)

@@ Line 1: / Line 1: @@
 {{Stub-general}}
-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. 3 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]].
 ==References==
 #Lev Davidovich Landau "",  Physikalische Zeitschrift der Sowjetunion  '''11''' pp. 26-47  (1937)