Undergraduate Foundation
Prerequisite notes for advanced statistical mechanics
This note rebuilds the undergraduate thermodynamics and statistical physics baseline: laws of thermodynamics, thermodynamic potentials, Maxwell relations, phase transitions, irreversible processes, ensembles, and quantum statistics. It is meant to support later advanced statistical mechanics review, not to serve as a transcript.
Draft
27p
expanded PDF draft
PDF · 15 pages
Thermodynamics and statistical physics notes
Expanded undergraduate foundation notes, ready for video-by-video updates.
TeX source
main.tex
Editable LaTeX entry point. Chapter files live under contents/chapters.
Video outline
Thermodynamics and Statistical Physics
Public Bilibili course source. This draft follows the outline and public lecture-note sources, not subtitles.
Attribution: The checked public Bilibili HTML and player API subtitle fields were empty. The public API exposed the course title, uploader, part list, and p=2 chapter points. Therefore this TeX/PDF is an original review draft organized by the course outline, public textbook/courseware scope, and standard undergraduate material. Its TeX project structure is inspired by Muatyz/review-sheet, but the full Muatyz TeX source is not vendored here.
Current Coverage
01
thermodynamic laws
Equilibrium, temperature, quasistatic processes, work, entropy, free energy.
02
homogeneous systems
Euler relation, Gibbs-Duhem, Maxwell relations, response functions.
03
phase transitions
Phase equilibrium, Clapeyron equation, Landau picture.
04
statistical principles
Boltzmann entropy, Gibbs entropy, microcanonical/canonical/grand canonical ensembles.
05
Distributions and fluctuations
Irreversible processes, most probable distribution, Boltzmann, Bose/Fermi, fluctuation-response.
Live Update Area
- 2026-06-20: Generated the first 15-page TeX/PDF draft based on p=2
1.1-1.4and the undergraduate thermodynamics/statistical-physics backbone. - Next: send specific video notes or confusion points, and I will append them to the matching TeX chapter and recompile the PDF.
