statistical-mechanics

name	statistical-mechanics
description	Statistical physics and thermodynamics
license	MIT
compatibility	opencode
metadata	{"audience":"physicists","category":"physics"}

What I do

• Apply statistical ensembles (microcanonical, canonical, grand canonical)
• Calculate partition functions and thermodynamic quantities
• Model ideal and real gases
• Analyze phase transitions and critical phenomena
• Study kinetic theory and transport phenomena
• Apply the equipartition theorem

When to use me

When deriving thermodynamic properties from microscopic physics or studying collective phenomena.

Key Concepts

• Partition Function: Z = Σ_i e^{-βE_i} generates thermodynamic quantities
• Boltzmann Distribution: P_i = e^{-βE_i}/Z for canonical ensemble
• Helmholtz Free Energy: F = -k_BT ln Z relates to partition function
• Entropy: S = k_B ln Ω (microcanonical), S = -k_B ΣP_i ln P_i (general)
• Equipartition Theorem: Each quadratic degree contributes ½k_BT to energy
• Mean Free Path: λ = 1/(√2nσ) for molecular collisions