equation in statistical physics
C3053
concept
An equation in statistical physics is a mathematical relation that connects microscopic properties of particles and their interactions to macroscopic thermodynamic quantities, enabling the prediction of a system’s collective behavior.
All labels observed (18)
| Label | Occurrences |
|---|---|
| equation in statistical mechanics | 3 |
| equation of state | 3 |
| theorem in statistical mechanics | 3 |
| thermodynamic relation | 3 |
| equation in statistical physics canonical | 2 |
| result in classical thermodynamics | 2 |
| concept in nonequilibrium statistical mechanics | 1 |
| diode equation | 1 |
| equation in quantum many-body physics | 1 |
| function in statistical mechanics | 1 |
| mathematical model in statistical mechanics | 1 |
| object in statistical physics | 1 |
| result in kinetic theory | 1 |
| result in linear response theory | 1 |
| result in statistical mechanics | 1 |
| simplified Boltzmann equation | 1 |
| statistical mechanics formula | 1 |
| thermodynamic Bethe ansatz equation | 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: equation in statistical physics
Generated description
An equation in statistical physics is a mathematical relation that connects microscopic properties of particles and their interactions to macroscopic thermodynamic quantities, enabling the prediction of a system’s collective behavior.
Instances (26)
| Instance | Via concept surface |
|---|---|
| Onsager–Machlup function | concept in nonequilibrium statistical mechanics |
| Kubo formula | result in linear response theory |
| Nernst equation | thermodynamic relation |
| Boltzmann–BGK equation | simplified Boltzmann equation |
| Yang–Yang equation | thermodynamic Bethe ansatz equation |
| Clausius–Clapeyron relation | thermodynamic relation |
| Clausius theorem | result in classical thermodynamics |
| fluctuation–dissipation theorem | theorem in statistical mechanics |
| Stokes–Einstein relation | — |
| Boltzmann–Kac equation | mathematical model in statistical mechanics |
| Bogoliubov inequality | result in statistical mechanics |
| Boltzmann equation | equation in statistical mechanics |
| Einstein–Smoluchowski relation | — |
| Shockley diode equation | diode equation |
| equipartition theorem | theorem in statistical mechanics |
| Gross–Pitaevskii equation | equation in quantum many-body physics |
| H-theorem | theorem in statistical mechanics |
| Sackur–Tetrode equation | statistical mechanics formula |
| Brillouin function | function in statistical mechanics |
| Ehrenfest equations | thermodynamic relation |
| ideal gas law | equation of state |
| Ornstein–Zernike equation | equation in statistical mechanics |
| Dyson integral | object in statistical physics |
| Liouville equation | equation in statistical mechanics |
|
van der Waals
surface form:
van der Waals equation
|
equation of state |
| van der Waals equation of state | equation of state |