# On Coulomb collisions in bi-Maxwellian plasmas

## Related Articles

- Magnetized Fokkerâ€“Planck equation with quasilinear diffusion for nonaxially symmetric velocity distribution functions. Hassan, Mohamed H. A. // Physics of Fluids (00319171);Sep86, Vol. 29 Issue 9, p3027
The kinetic equation governing the evolution of a nonaxially symmetric velocity distribution function of plasma particles in a uniform magnetic field, including the effects of collisions as well as quasilinear diffusion, is presented and analyzed. It is shown that, if the test particlesâ€™...

- Orbit-averaged guiding-center Fokker-Planck operator for numerical applications. Decker, J.; Peysson, Y.; Brizard, A. J.; Duthoit, F.-X. // Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p112513
A guiding-center Fokker-Planck operator is derived in a coordinate system that is well suited for the implementation in a numerical code. This differential operator is transformed such that it can commute with the orbit-averaging operation. Thus, in the low-collisionality approximation, a...

- Plasma transport coefficients in a magnetic field by direct numerical solution of the Fokkerâ€“Planck equation. Epperlein, E. M.; Haines, M. G. // Physics of Fluids (00319171);Apr86, Vol. 29 Issue 4, p1029
Significant departures from standard transport coefficients [e.g., Sov. Phys. JETP 6, 338 (1958)] have been found for the electron current and heat flux in a fully ionized plasma. These have been discovered by carrying out a direct and accurate numerical solution of the linearized...

- Relativistic theory of classical collisional transport in a weekly coupled plasma: Solution of... Bara, K.C.; Mohanty, J.N. // Physics of Plasmas;Jun97, Vol. 4 Issue 6, p2101
Develops a generalized Fokker-Planck equation in the pattern of a well-known collision operator. Relatively singly charged electron-ion plasma under the impact of crossed electric and magnetic fields; Cross-field transport coefficients derived analytically in the limit of nonrelativistic,...

- Reaction dynamics in the low pressure regime: The Kramers model and collisional models of molecules with many degrees of freedom[ATOTHER]@f[/ATOTHER]
a[ATOTHER]@f[/ATOTHER]
). Borkovec, Michal; Berne, Bruce J. // Journal of Chemical Physics;1/15/1985, Vol. 82 Issue 2, p794
The escape rate constant out of a metastable well for an impulsive collisional (BGK) model and the Fokkerâ€“Planck frictional (Kramers) model is evaluated analytically for arbitrary potentials and any number of degrees of freedom in the low collision or low friction limit. Completely...

- Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation. Hirvijoki, E.; Brizard, A.; Snicker, A.; Kurki-Suonio, T. // Physics of Plasmas;Sep2013, Vol. 20 Issue 9, p092505
A Monte Carlo method for the collisional guiding-center Fokker-Planck kinetic equation is derived in the five-dimensional guiding-center phase space, where the effects of magnetic drifts due to the background magnetic field nonuniformity are included. It is shown that, in the limit of a...

- Expansion of the relativistic Fokker-Planck equation including non-linear terms... Shkarofsky, I.P. // Physics of Plasmas;Jul97, Vol. 4 Issue 7, p2464
Expands the relativistic Fokker-Planck collision term in Braams and Karney using Cartesian tensors retaining all non-linear terms and an arbitrary zeroth order distribution background. Expressions for collision terms between all harmonics; Background distribution in terms of the j and y...

- Plasma kinetic theory without the Markovian approximation. II. Pocobelli, G. // Physics of Fluids (00319171);Apr87, Vol. 30 Issue 4, p1073
A generalized, deterministic Fokker-Planck equation with Eulerian coefficients is derived from the Vlasov equation without making use of the Markovian approximation. Such an equation is equivalent to a simpler (no time derivative) propagation equation for the average distribution &fmacr;, and...

- Scaling of asymmetric magnetic reconnection: General theory and collisional simulations. Cassak, P. A.; Shay, M. A. // Physics of Plasmas;Oct2007, Vol. 14 Issue 10, p102114
A Sweet-Parker-type scaling analysis for asymmetric antiparallel reconnection (in which the reconnecting magnetic field strengths and plasma densities are different on opposite sides of the dissipation region) is performed. Scaling laws for the reconnection rate, outflow speed, the density of...