Statistical Physics: Ensembles, Weights, and Fluctuations Step by Step
A lightweight execution-visualization book.
Microstates and Macrostates
Microstates Group into Macrostates
The Same Macrostate Can Have More Realizations
Averages Use Every Microstate Count
Weighted Ensembles
Partition Total Normalizes the Weights
Average Energy Is a Weighted Ledger
Weight Labels Are Not Boltzmann Magic
Two-State Populations
Lower State Can Dominate the Population
Population Ratio Uses the Same Weights
Equal Weights Make Equal Populations
Fluctuations and Balance
Variance Is a Squared-Deviation Ledger
Detailed Balance Matches Opposing Flows
Wrong Rate Breaks Detailed Balance
Source Audit
Statistical Audit Cites Every Source
Relation Cross-Scans
Microstate Selection Probability Cross-Scan
Ensemble State Probability Cross-Scan
Weighted Energy Contribution Cross-Scan
Two-State Population Family Cross-Scan
Detailed Balance Flow Cross-Scan
Fluctuation Depth Scans
Signed Deviation Ledger Cross-Scan
Squared Deviation Contribution Cross-Scan
Variance Numerator Quotient Scan