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- Boltzmann_equation abstract "In physics, specifically non-equilibrium statistical mechanics, the Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in thermodynamic equilibrium. It was devised by Ludwig Boltzmann in 1872.The classic example is a fluid with temperature gradients in space causing heat to flow from hotter regions to colder ones, by the random (and biased) transport of particles. In the modern literature the term Boltzmann equation is often used in a more general sense and refers to any kinetic equation that describes the change of a macroscopic quantity in a thermodynamic system, such as energy, charge or particle number.The equation arises not by statistical analysis of all the individual positions and momenta of each particle in the fluid; rather by considering the probability that a number of particles all occupy a very small region of space (mathematically written d3r, where d means "differential", a very small change) centered at the tip of the position vector r, and have very nearly equal small changes in momenta from a momentum vector p, at an instant of time.The Boltzmann equation can be used to determine how physical quantities change, such as heat energy and momentum, when a fluid is in transport, and other properties characteristic to fluids such as viscosity, thermal conductivity also electrical conductivity (by treating the charge carriers in a material as a gas) can be derived. See also convection-diffusion equation.The equation is a linear stochastic partial differential equation, since the function to solve the equation for is a continuous random variable. In fact - the problem of existence and uniqueness of solutions is still not fully resolved, but some recent results are quite promising.".
- Boltzmann_equation wikiPageExternalLink node7.html.
- Boltzmann_equation wikiPageExternalLink university-pennsylvania-mathematicians-solve-140-year-old-boltzmann-equation-gaseous-behaviors.
- Boltzmann_equation wikiPageID "1026522".
- Boltzmann_equation wikiPageRevisionID "603606755".
- Boltzmann_equation hasPhotoCollection Boltzmann_equation.
- Boltzmann_equation subject Category:Equations_of_physics.
- Boltzmann_equation subject Category:Partial_differential_equations.
- Boltzmann_equation subject Category:Statistical_mechanics.
- Boltzmann_equation subject Category:Transport_phenomena.
- Boltzmann_equation type Abstraction100002137.
- Boltzmann_equation type Communication100033020.
- Boltzmann_equation type DifferentialEquation106670521.
- Boltzmann_equation type Equation106669864.
- Boltzmann_equation type MathematicalStatement106732169.
- Boltzmann_equation type Message106598915.
- Boltzmann_equation type PartialDifferentialEquation106670866.
- Boltzmann_equation type PartialDifferentialEquations.
- Boltzmann_equation type Statement106722453.
- Boltzmann_equation comment "In physics, specifically non-equilibrium statistical mechanics, the Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in thermodynamic equilibrium. It was devised by Ludwig Boltzmann in 1872.The classic example is a fluid with temperature gradients in space causing heat to flow from hotter regions to colder ones, by the random (and biased) transport of particles.".
- Boltzmann_equation label "Boltzmann equation".
- Boltzmann_equation label "Boltzmann-Gleichung".
- Boltzmann_equation label "Boltzmann-vergelijking".
- Boltzmann_equation label "Equazione di Boltzmann".
- Boltzmann_equation label "Equação de transporte de Boltzmann".
- Boltzmann_equation label "Równanie Boltzmanna".
- Boltzmann_equation label "Équation de Boltzmann".
- Boltzmann_equation label "Кинетическое уравнение Больцмана".
- Boltzmann_equation label "ボルツマン方程式".
- Boltzmann_equation sameAs Boltzmannova_rovnice.
- Boltzmann_equation sameAs Boltzmann-Gleichung.
- Boltzmann_equation sameAs Équation_de_Boltzmann.
- Boltzmann_equation sameAs Equazione_di_Boltzmann.
- Boltzmann_equation sameAs ボルツマン方程式.
- Boltzmann_equation sameAs 볼츠만_운송_방정식.
- Boltzmann_equation sameAs Boltzmann-vergelijking.
- Boltzmann_equation sameAs Równanie_Boltzmanna.
- Boltzmann_equation sameAs Equação_de_transporte_de_Boltzmann.
- Boltzmann_equation sameAs m.03_fg2.
- Boltzmann_equation sameAs Q891653.
- Boltzmann_equation sameAs Q891653.
- Boltzmann_equation sameAs Boltzmann_equation.
- Boltzmann_equation wasDerivedFrom Boltzmann_equation?oldid=603606755.
- Boltzmann_equation isPrimaryTopicOf Boltzmann_equation.