mean-field theory
C11707
concept
Mean-field theory is an approximate method in statistical physics and related fields that replaces the complex interactions of many components with an average or "mean" effect, allowing tractable analysis of collective behavior.
All labels observed (6)
| Label | Occurrences |
|---|---|
| mean-field approximation | 1 |
| mean-field theory canonical | 1 |
| solution to mean-field spin glass models | 1 |
| spin glass theory | 1 |
| theory of magnetism | 1 |
| theory of phase transitions | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: mean-field theory
Generated description
Mean-field theory is an approximate method in statistical physics and related fields that replaces the complex interactions of many components with an average or "mean" effect, allowing tractable analysis of collective behavior.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Hartree–Fock method | mean-field approximation |
| Langevin theory of paramagnetism | theory of magnetism |
| Parisi solution of spin glasses | solution to mean-field spin glass models |
| Gross–Pitaevskii equation | — |
| Landau theory of second-order phase transitions | theory of phase transitions |