Mathematical Foundations of Statistical Mechanics¶
Khinchin, A. Y. (1949). Mathematical Foundations of Statistical Mechanics.
Cited by¶
2 citations across 2 artifacts.
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Primes¶
- Ensemble
- Ensemble-based reasoning in statistical mechanics culminates in Khinchin's rigorous treatment
This sourcerigorous treatment of ensemble theory using limit theorems of probability (central limit theorem) to establish why ensemble averages acquire predictive power as system size grows.
- Ensemble-based reasoning in statistical mechanics culminates in Khinchin's rigorous treatment
- Phase Space
- In practice, numerical simulations (molecular dynamics, Monte Carlo) sample a finite set of phase-space points.
This sourceRigorous mathematical treatment of ensemble theory and application of central limit theorem to establish why ensemble averages have predictive power; shows how ensemble variance shrinks for large systems; foundational for modern statistical-mechanics rigor.
- In practice, numerical simulations (molecular dynamics, Monte Carlo) sample a finite set of phase-space points.
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