Landau theory of second-order phase transitions

E66048

phenomenological theory physical theory theory of 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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All labels observed (5)

Label	Occurrences
Landau theory of second-order phase transitions canonical	2
Landau free energy functional	1
Landau mean-field theory	1
Landau theory of antiferromagnetic phase transitions	1
Landau theory of phase transitions	1

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	Ginzburg–Landau theory of superconductivity ⓘ surface form: Landau–Ginzburg theory
influenced	development of renormalization group theory ⓘ
introducedBy	Lev Landau ⓘ
introduces	Landau theory of second-order phase transitions self-linksurface differs ⓘ surface form: 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 ⓘ

Referenced by (6)

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 theory of second-order phase transitions ⓘ

this entity surface form: Landau mean-field theory

Landau theory of second-order phase transitions → introduces → Landau theory of second-order phase transitions self-linksurface differs ⓘ

this entity surface form: Landau free energy functional

Lev Landau → knownFor → Landau theory of second-order phase transitions ⓘ

Néel vector → appearsIn → Landau theory of second-order phase transitions ⓘ

this entity surface form: Landau theory of antiferromagnetic phase transitions

Landau → notableWork → Landau theory of second-order phase transitions ⓘ

subject surface form: Lev Landau

this entity surface form: Landau theory of phase transitions