Boltzmann equation
Particle distribution evolution
The Boltzmann equation is a fundamental equation in statistical mechanics describing how the distribution of particles in a gas evolves over time.
It accounts for both the motion of particles and their collisions, connecting microscopic particle behavior to macroscopic properties like temperature and pressure.
The equation underpins kinetic theory and has applications in plasma physics, semiconductor modeling, and fluid dynamics.
- kinetic theoryHeat as atomic motion
- microstatesExtremely small sovereign nations
- irreversibilityState of being permanent
- temperatureMeasured heat intensity
- Knudsen numberPath-to-scale ratio in gases
entropy · collision · pressure · heat transfer · differential equations · conservation laws · boundary conditions · Maxwell · particles · transport · plasma · distribution · probability · diffusion · gas · statistical · Ludwig · velocity
- equationsalgebraic equations, system of equations, simultaneous equations, quadratic formula
- Formulaschemical formula, quadratic formula, empirical formula, area formula, volume formula
- PDEsDirichlet problem, boundary conditions, initial conditions, conservation laws
- gas physicsideal gas law, Boyle's law, Avogadro's law, gas laws, kinetic theory
- nonequilibriumirreversibility, dissipation, steady state, steady states, steady-state
- Transport Physicsdiffusion, scattering, flux, cross sections, attenuation
Boltzmann equationSchrödinger equation
Governs quantum state evolution
Boltzmann equationdeterministic chaos
Unpredictability from precise rules
Boltzmann equationideal gas law
Equation linking gas properties