Yang–Lee theory
E265149
Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Lee–Yang circle theorem | 1 |
| Lee–Yang theory | 1 |
| Lee–Yang zeros | 1 |
| Yang–Lee theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2422938 — 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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Yang–Lee theory Context triple: [C. N. Yang, knownFor, Yang–Lee theory]
-
A.
Lectures on Phase Transitions and the Renormalization Group
*Lectures on Phase Transitions and the Renormalization Group* is a widely used advanced physics textbook that provides a clear, modern introduction to critical phenomena, scaling, and renormalization group methods in statistical mechanics and condensed matter physics.
-
B.
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.
-
C.
Potts model
The Potts model is a generalization of the Ising model in statistical mechanics that describes interacting spins with more than two possible states, used to study phase transitions and critical phenomena.
-
D.
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.
-
E.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Yang–Lee theory Target entity description: Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
-
A.
Lectures on Phase Transitions and the Renormalization Group
*Lectures on Phase Transitions and the Renormalization Group* is a widely used advanced physics textbook that provides a clear, modern introduction to critical phenomena, scaling, and renormalization group methods in statistical mechanics and condensed matter physics.
-
B.
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.
-
C.
Potts model
The Potts model is a generalization of the Ising model in statistical mechanics that describes interacting spins with more than two possible states, used to study phase transitions and critical phenomena.
-
D.
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.
-
E.
Luttinger liquid theory
Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
phase transition theory
ⓘ
physical theory ⓘ theory in statistical mechanics ⓘ |
| aimsTo |
characterize phase transitions
ⓘ
understand critical phenomena ⓘ |
| appliesTo |
Ising models
ⓘ
surface form:
Ising model
equilibrium statistical mechanics ⓘ ferromagnetic systems ⓘ lattice spin models ⓘ |
| assumes | finite systems have partition functions that are analytic functions of complex parameters ⓘ |
| characterizes |
location of zeros in the complex fugacity plane
ⓘ
location of zeros in the complex magnetic field plane ⓘ |
| concerns |
analytic structure of the partition function
ⓘ
conditions for phase transitions in finite and infinite systems ⓘ |
| coreIdea |
nonanalytic behavior of thermodynamic functions arises from zeros of the partition function approaching the real axis
ⓘ
phase transitions correspond to accumulation points of zeros of the partition function ⓘ |
| developedInContextOf | Ising ferromagnet in a complex magnetic field ⓘ |
| explains | how phase transitions emerge in the thermodynamic limit ⓘ |
| field |
mathematical physics
ⓘ
phase transition theory ⓘ statistical mechanics ⓘ |
| hasApplicationIn |
lattice gas models
ⓘ
nonequilibrium statistical mechanics ⓘ polymer models ⓘ quantum phase transitions ⓘ |
| historicalPeriod | mid-20th century theoretical physics ⓘ |
| implies | no true phase transition in finite systems ⓘ |
| influenced |
complex singularity analysis in statistical mechanics
ⓘ
modern studies of phase transitions ⓘ |
| mathematicalTool |
complex zeros of polynomials
ⓘ
limit distributions of zeros ⓘ |
| namedAfter |
C. N. Yang
ⓘ
T. D. Lee ⓘ |
| provides |
criteria for the existence of phase transitions
ⓘ
geometric interpretation of critical points via zero distributions ⓘ |
| relatedConcept |
Yang–Lee edge singularity
ⓘ
critical manifold in complex parameter space ⓘ |
| relatedTo |
Fisher zeros
ⓘ
Lee–Yang circle theorem ⓘ Yang–Lee theory self-linksurface differs ⓘ
surface form:
Lee–Yang zeros
critical exponents ⓘ renormalization group ⓘ |
| studies |
distribution of partition function zeros in the complex plane
ⓘ
zeros of the partition function ⓘ |
| usesConcept |
analytic continuation
ⓘ
complex analysis ⓘ partition function ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Yang–Lee theory Description of subject: Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Lee–Yang zeros