Landau theory of second-order phase transitions

E66048

Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.

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Generate an image of Landau theory of second-order phase transitions (Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.)

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Statements (47)

Predicate Object
instanceOf phenomenological theory ⓘ
physical theory ⓘ
theory of phase transitions ⓘ
analyzes symmetry breaking ⓘ
appliesTo ferromagnetic phase transitions ⓘ
structural phase transitions ⓘ
superconducting transitions ⓘ
superfluid transitions ⓘ
approximates microscopic interactions by effective parameters ⓘ
assumes analytic free energy near the critical point ⓘ
equilibrium thermodynamics ⓘ
homogeneous order parameter in simplest form ⓘ
small order parameter near the critical point ⓘ
basedOn order parameter ⓘ
characterizes order parameter symmetry ⓘ
universality classes at mean-field level ⓘ
classification phenomenological Landau theory ⓘ
describes continuous phase transitions ⓘ
second-order phase transitions ⓘ
distinguishes symmetric phase ⓘ
symmetry-broken phase ⓘ
doesNotDescribe first-order phase transitions in its basic form ⓘ
field condensed matter physics ⓘ
statistical physics ⓘ
focusesOn behavior near critical points ⓘ
frameworkType mean-field theory ⓘ
generalizedTo Landau–Ginzburg theory ⓘ
influenced development of renormalization group theory ⓘ
introducedBy Lev Landau ⓘ
introduces Landau free energy functional ⓘ
involves critical point ⓘ
critical temperature ⓘ
symmetry group of the system ⓘ
namedAfter Lev Landau ⓘ
neglects critical fluctuations ⓘ
predicts continuous change of order parameter at the transition ⓘ
disappearance of order parameter at critical temperature ⓘ
mean-field critical exponents ⓘ
spontaneous symmetry breaking below critical temperature ⓘ
relates Landau coefficients to thermodynamic quantities ⓘ
represents free energy as power series in order parameter ⓘ
timePeriod 1930s ⓘ
uses Landau expansion coefficients ⓘ
free energy expansion ⓘ
minimization of free energy ⓘ
symmetry considerations ⓘ
validWhen spatial dimension is above upper critical dimension ⓘ

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Referenced by (8)

Full triples — surface form annotated when it differs from this entity's canonical label.

Ginzburg–Landau theory of superconductivity → basedOn → Landau theory of second-order phase transitions ⓘ
Ginzburg–Landau theory of superconductivity → inspiredBy → Landau mean-field theory ⓘ
linked to: Landau theory of second-order phase transitions
Landau theory of second-order phase transitions → introduces → Landau free energy functional ⓘ
linked to: Landau theory of second-order phase transitions
Lev Landau → knownFor → Landau theory of second-order phase transitions ⓘ
Néel vector → appearsIn → Landau theory of antiferromagnetic phase transitions ⓘ
linked to: Landau theory of second-order phase transitions
Lev Landau → notableWork → Landau theory of phase transitions ⓘ
subject linked to: Landau
linked to: Landau theory of second-order phase transitions
Ehrenfest classification of phase transitions → supersededBy → Landau theory of phase transitions ⓘ
linked to: Landau theory of second-order phase transitions
The Physics of Liquid Crystals → topic → Landau–de Gennes theory ⓘ
linked to: Landau theory of second-order phase transitions