statistical-mechanics
Statistical physics and thermodynamics
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- ffsshhttiikk/opencode-agents-skills
- Last source activity
- February 28, 2026 at 22:55
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Source instructions · Read-only preview- 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
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