The Principles of Statistical Mechanics¶
Tolman, R. C. (1938). The Principles of Statistical Mechanics. Oxford University Press.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Ensemble
- Modern treatments (Tolman, Lebowitz)
This sourceComprehensive treatment demonstrating ensemble equivalence in the thermodynamic limit and discussing the conditions under which ensemble equivalence breaks down.
Supported in partVerified against the work's full text
Tolman's preface says microcanonical and canonical treatments agree for many degrees of freedom and covers H-theorem, but the text on file omits the chapters on where equivalence fails.
“For systems of many degrees of freedom, all three of the methods mentioned lead to results ... in substantial agreement.”
- Modern treatments (Tolman, Lebowitz)
- Micro Macro Linkage
- In statistical mechanics, thermodynamic variables are derived from molecular ensemble statistics while macroscopic boundary conditions shape microscopic distributions — the Boltzmann distribution upward, the constraints downward — the founding case of the prime.
This sourceClassic reference deriving thermodynamic (macro) variables — temperature, pressure — from molecular ensemble statistics, the physical prototype of micro-macro linkage.
Supported in partVerified against the work's full text
Tolman supports deriving thermodynamic variables from molecular ensemble statistics; the downward-constraint wording and the 'founding case of the prime' label are the encyclopedia's own framing.
“the thermodynamic variables ordinarily used to describe a thermodynamic system of interest, such as volume, pressure, energy, entropy, and temperature, are correlated with mechanical quantities belonging to a representative ensemble”
- In statistical mechanics, thermodynamic variables are derived from molecular ensemble statistics while macroscopic boundary conditions shape microscopic distributions — the Boltzmann distribution upward, the constraints downward — the founding case of the prime.
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