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.
All labels observed (5)
How this entity was disambiguated
This entity first appeared as the object of triple T529687 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Landau theory of second-order phase transitions Context triple: [Ginzburg–Landau theory of superconductivity, basedOn, Landau theory of second-order phase transitions]
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A.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
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B.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
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C.
Pippard nonlocal theory
Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
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D.
BCS theory of superconductivity
The BCS theory of superconductivity is a fundamental microscopic theory that explains superconductivity through the formation of Cooper pairs of electrons and their collective quantum behavior in a solid.
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E.
Ising models
Ising models are mathematical models in statistical mechanics that describe systems of interacting binary variables (spins) on a lattice, widely used to study phase transitions, magnetism, and as a foundation for various probabilistic and machine learning models.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Landau theory of second-order phase transitions Target entity description: 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.
-
A.
Ginzburg–Landau theory of superconductivity
The Ginzburg–Landau theory of superconductivity is a phenomenological framework that describes superconductors using a complex order parameter and macroscopic equations to capture phase transitions, coherence length, and magnetic behavior.
-
B.
Fermi liquid theory
Fermi liquid theory is a framework in condensed matter physics that describes how interacting fermions in a metal behave like long-lived quasiparticles with properties similar to those of a non-interacting Fermi gas.
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C.
Pippard nonlocal theory
Pippard nonlocal theory is a refinement of superconductivity theory that introduces spatially nonlocal relations between current and electromagnetic fields to account for finite coherence length effects beyond the London model.
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D.
BCS theory of superconductivity
The BCS theory of superconductivity is a fundamental microscopic theory that explains superconductivity through the formation of Cooper pairs of electrons and their collective quantum behavior in a solid.
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E.
Ising models
Ising models are mathematical models in statistical mechanics that describe systems of interacting binary variables (spins) on a lattice, widely used to study phase transitions, magnetism, and as a foundation for various probabilistic and machine learning models.
- F. None of above. chosen
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 ⓘ |
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Subject: Landau theory of second-order phase transitions Description of subject: 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.
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.