The Boltzmann equation or Boltzmann transport equation (BTE) describes the statistical behaviour of a thermodynamic system not in a state of equilibrium;...

The Poisson–Boltzmann equation describes the distribution of the electric potential in solution in the direction normal to a charged surface. This distribution...

In statistical mechanics, Boltzmann's equation (also known as the Boltzmann–Planck equation) is a probability equation relating the entropy S {\displaystyle...

Ludwig Eduard Boltzmann ForMemRS (/ˈbɒltsmən/, US also /ˈboʊl-, ˈbɔːl-/, Austrian German: [ˈluːdvɪɡ ˈbɔltsman]; 20 February 1844 – 5 September 1906) was...

The Stefan–Boltzmann law, also known as Stefan's law, describes the intensity of the thermal radiation emitted by matter in terms of that matter's temperature...

The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative thermal energy of particles in a gas with the thermodynamic...

natural consequence of the kinetic equation derived by Boltzmann that has come to be known as Boltzmann's equation. The H-theorem has led to considerable...

different interpretation of the lattice Boltzmann equation is that of a discrete-velocity Boltzmann equation. The numerical methods of solution of the...

Maxwell–Boltzmann distribution, or Maxwell(ian) distribution, is a particular probability distribution named after James Clerk Maxwell and Ludwig Boltzmann....

charge density follows a Boltzmann distribution, then the Poisson–Boltzmann equation results. The Poisson–Boltzmann equation plays a role in the development...

de Saint-Venant Boltzmann equation Cauchy momentum equation Cauchy stress tensor Chapman–Enskog theory Churchill–Bernstein equation Coandă effect Computational...

The quantum Boltzmann equation, also known as the Uehling–Uhlenbeck equation, is the quantum mechanical modification of the Boltzmann equation, which gives...

equations Boltzmann equation Convection–diffusion equation Klein–Kramers equation Kolmogorov backward equation Kolmogorov equation Langevin equation Master...

an alternative to the Boltzmann equation in the case of Coulomb interaction. When used with the Vlasov equation, the equation yields the time evolution...

The Williams–Boltzmann equation, also known as the Williams spray equation is a kinetic equation modeling the statistical evolution of evaporating or...

physical chemistry, the Arrhenius equation is a formula for the temperature dependence of reaction rates. The equation was proposed by Svante Arrhenius...

In statistical mechanics, Maxwell–Boltzmann statistics describes the distribution of classical material particles over various energy states in thermal...

In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution) is a probability distribution or probability measure...

Ludwig Boltzmann, in the development of the atomistic backgrounds of the macroscopic transport processes, introduced the Boltzmann equation, which has...

is the Boltzmann constant. A simple derivation of the Boltzmann relation for the electrons can be obtained using the momentum fluid equation of the two-fluid...

theory provides a framework in which equations of hydrodynamics for a gas can be derived from the Boltzmann equation. The technique justifies the otherwise...

superposition principle. Nevertheless, the two equations can be combined to produce the Poisson–Boltzmann equation. ∇ 2 ψ j ( r ) = − 1 ϵ 0 ϵ r ∑ i { n i (...

First, Vlasov argues that the standard kinetic approach based on the Boltzmann equation has difficulties when applied to a description of the plasma with...

parabolic partial differential equations, fluid mechanics, Boltzmann equations, and dispersive partial differential equations. A function u(x, y, z) of three...

differential equations involved in statistical mechanics, specifically the Boltzmann equation, where, with Laurent Desvillettes, he was the first to prove how quickly...

expressions for thermal conductivity starting from the Boltzmann equation. The Boltzmann equation, in turn, provides a statistical description of a dilute...

which derives expressions for the viscosity of a dilute gas from the Boltzmann equation. Viscosity in gases arises principally from the molecular diffusion...

operator) term refers to a collision operator used in the Boltzmann equation and in the lattice Boltzmann method, a computational fluid dynamics technique. It...

Richard Arnold. The Collisionless Boltzmann equation, also called the Vlasov Equation is a special form of Liouville' equation and is given by: ∂ f ∂ t + v...

systems. Algebraic Riccati equation Ball and beam system Bellman equation for optimal policy Boltzmann equation Colebrook equation General relativity Ginzburg–Landau...