Thermodynamics and Statistical Mechanics Step by Step
A lightweight execution-visualization book.
Temperature and Heat
Temperature as State
Heat as Energy Transfer
Thermal Equilibrium
Specific Heat
Heat Capacity
Specific Heat Equation
Mass and Temperature Contrast
Gas Laws
Pressure-Volume State
Boyle's Law
Charles' Law
Combined Gas Comparison
Energy and Efficiency
First Law Budget
Heat Engine Efficiency
Waste Heat
Formula Scans
Mass Factor Scan
Temperature Change Scan
Two-Factor Grid Audit
Gas and Engine Relation Scans
Boyle Three-State Scan
Charles Kelvin Three-State Scan
Combined Gas Three-State Scan
Engine Work Fraction Three-Row Scan
Fixed Work Input Three-Row Scan
First-Law Split Three-Row Scan
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
Real Heat Diffusion Ledger
Heat Diffuses Toward a Flat Profile That Conserves the Mean