collisionless Boltzmann equation

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:alsoKnownAs gptkb:Vlasov_equation
gptkbp:appliesTo plasmas
galaxies
stellar systems
gptkbp:assumes no collisions between particles
gptkbp:describes evolution of distribution function in phase space
gptkbp:field gptkb:statistical_mechanics
astrophysics
galactic dynamics
gptkbp:form ∂f/∂t + v·∇_x f + a·∇_v f = 0
https://www.w3.org/2000/01/rdf-schema#label collisionless Boltzmann equation
gptkbp:namedAfter gptkb:Ludwig_Boltzmann
gptkbp:usedFor describing large-scale structure of the universe
modeling dark matter halos
studying stability of galaxies
gptkbp:usedIn gptkb:Jeans_equations
gptkbp:variant acceleration a
distribution function f(x, v, t)
position x
time t
velocity v
gptkbp:bfsParent gptkb:Jeans_equations
gptkbp:bfsLayer 7