Teaching

Elements:

• 2nd Law Typicality 

• Liouville Theorem

• Euler-Maclaurin Bridge

• Poincaré Recurrence

• Ergodicity Hypothesis

• Boltzmann H-theorem

• Fluctuation-Dissipation

• Random Walk

• Heat Equation (Schrodinger-Wick)

• Brownian Motion

• Carathéodory Inaccessibility

• Carnot Efficiency

• Kelvin-Clausius Equivalence

• Microscopic First Law

• Maxwell Relations

Classical:

• Two-Level System (Microcanonical)

• Two-Level System (Canonical)

• Einstein Solid

• Dulong-Petit Law

• Dirichlet Gases

• Ideal Gas (Canonical)

• Ideal Gas (Microcanonical)

• Ideal Gas (Grand Canonical)

• Sackur–Tetrode Equation

• Maxwell Distribution

• Bernoulli Pressure

• Van der Waals Equation

• Heisenberg Chain (classical)

• Debye–Hückel Screening

• Diatomic Gas

• Diatomic Staircase

• Degrees of Freedom

Quantum:

• Photon Gas

• Stefan–Boltzmann Law

• Wien Displacement

• Planck Radiation (1D)

• Johnson-Nyquist Noise

• Phonon Gas

• Bose Gas (weak quantum statistics)

• Fermi Gas (weak quantum statistics)

• BEC (pressure)

• Fermi Gas (pressure)

• Fermi Gas (heat capacity)

• Curie's Law

• Pauli Paramagnetism

• Bohr-von Leeuwen Theorem

• Landau Levels

• Landau Diamagnetism

Criticality:

• Van der Waals Isotherms

• Van der Waals Universality

• Clausius-Clapeyron Equation

• BEC (heat capacity)

• Lee-Yang Zeros

• Ising Chain (classical)

• Ising Model 1D

• Ising Model 2D

• Kramers-Wannier Duality

• Peierls Droplets

Gravity:

• Chandrasekhar Limit

• Jeans Instability

• Tolman-Ehrenfest Effect

• Bekenstein-Hawking Entropy

• Equipartition and Black Hole Entropy

• t'Hooft Brick Wall

• Barometric Formula (Ideal Gas in a Gravitational Field)