Velocity distribution of classical, distinguishable, non-interacting particles in thermal equilibrium: f(v) ∝ v²·e^(−mv²/(2k_BT)).
Maxwell-Boltzmann distribution
Related concepts
- Partition function
- Partition function
- Gaussian (normal) distribution
- Probability measure P
- Plasma (ionised gas)
- Vlasov equation
- Saha ionisation equation
- Polymer statistical mechanics
- Population inversion
- Stefan-Boltzmann energy balance: T_eq = [S(1−α)/(4σ)]^(1/4)
- Barometric formula: p(z) = p₀·exp(−z/H), H = k_B T/(m g)
- Arrhenius 1889: k(T) = A·exp(−E_a/(k_B T))
- Arrhenius rate law
- Ideal gas law
- Boltzmann distribution: N_i/N = g_i exp(-E_i/kT) / Z (equilibrium populations)
- ΔE=kT log(2) ⇒ N₂/N₁ = 1/2, log ratio = -log(2) (one-bit population split)