Mathematical Foundations of Statistical Mechanics
E378998
Mathematical Foundations of Statistical Mechanics is a classic monograph by Aleksandr Khinchin that rigorously develops the probabilistic and measure-theoretic underpinnings of statistical mechanics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mathematical Foundations of Statistical Mechanics canonical | 1 |
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
monograph ⓘ |
| approach |
measure-theoretic
ⓘ
probabilistic ⓘ |
| author |
Khinchin
ⓘ
surface form:
A. I. Khinchin
Aleksandr Khinchin ⓘ |
| contribution |
clarification of the role of probability in statistical mechanics
ⓘ
early development of ergodic ideas in physics ⓘ formalization of ensembles using measure theory ⓘ rigorous derivation of thermodynamic behavior from mechanics ⓘ |
| field |
mathematical physics
ⓘ
mathematics ⓘ probability theory ⓘ statistical mechanics ⓘ |
| focus |
large systems of particles
ⓘ
macroscopic observables as random variables ⓘ thermodynamic limit ⓘ |
| genre |
mathematics monograph
ⓘ
scientific literature ⓘ |
| hasPerspective | frequentist interpretation of probability ⓘ |
| influenced |
modern mathematical statistical mechanics
ⓘ
rigorous treatments of Gibbs measures ⓘ |
| intendedAudience |
mathematicians
ⓘ
theoretical physicists ⓘ |
| notableFor |
clarity of mathematical exposition
ⓘ
systematic use of probability theory in physics ⓘ |
| originalLanguage | Russian ⓘ |
| relatedTo |
Boltzmann–Gibbs entropy in statistical mechanics
ⓘ
surface form:
Boltzmann entropy
Boltzmann–Gibbs entropy in statistical mechanics ⓘ
surface form:
Gibbs entropy
classical mechanics ⓘ thermodynamics ⓘ |
| status |
classic work in statistical mechanics
ⓘ
standard reference in mathematical physics ⓘ |
| timePeriod | 20th century ⓘ |
| topic |
Gibbs ensembles
ⓘ
Hamiltonian systems ⓘ canonical ensemble ⓘ equilibrium statistical mechanics ⓘ ergodic theory ⓘ law of large numbers in statistical mechanics ⓘ measure theory ⓘ microcanonical ensemble ⓘ phase space ⓘ probabilistic foundations of thermodynamics ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.