Letting g = m, the mass of the particle, the integrated Boltzmann equation becomes the conservation of mass equation:
22.
Starting with the discrete Lattice Boltzmann equation ( also referred to as LBGK equation due to the collision operator used ).
23.
The Jeans equations are analogous to the Euler equations for fluid flow and may be derived from the collisionless Boltzmann equation.
24.
Finally, the WoS can be adapted to solve the Poisson and Poisson Boltzmann equation with flux conditions on the boundary.
25.
Thermal conductivity is usually described by the Boltzmann equation with the relaxation time approximation in which phonon scattering is a limiting factor.
26.
Neutron transport has roots in the Boltzmann equation, which was used in the 1800s to study the kinetic theory of gases.
27.
The Vlasov equation, which is related to the Liouville equation and the collisionless Boltzmann equation, is fundamental to plasma physics.
28.
The following expression utilizes chemical potential of solute molecules and implements the Poisson-Boltzmann Equation with the Euler-Lagrange functional:
29.
Using a modified Poisson-Boltzmann equation and mean field equation, the concentration profile near a charged surface is solved numerically.
30.
Her dissertation was " Studies on Electrolytes ", which focused on the application of the Poisson Boltzmann equation to polymeric electrolytes.
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