# landau damping in a sentence

- The mathematical theory of
*Landau damping* is somewhat involved see the section below. - Villani received the Fields Medal for his work on
*Landau damping* and the Boltzmann equation. - A mechanical N-body approach provides together the derivation of electric-field screening and of
*Landau damping* [, ]. - Since
*Landau damping* occurs for waves with arbitrarily small amplitudes, this shows the most active particles in this damping are far from being trapped. - His work " On
*Landau damping* " with Villani ( published in 2011 ) was quoted in the Fields Medal laudation of Villani in 2010. - It's difficult to find
*landau damping* in a sentence. - In a recent paper the initial data issue is solved and
*Landau damping* is mathematically established for the first time for the non-linear Vlasov equation. - Considering Crab-like Pulsars it has been shown that by means of the
*Landau damping* the centrifugally induced electrostatic waves efficiently lose energy transferring it to electrons. - Vlasov Poisson equations are used to describe various phenomena in plasma, in particular
*Landau damping* and the distributions in a Maxwellian, and therefore inaccessible to fluid models. - Effects which are essentially kinetic and not captured by fluid models include double layers,
*Landau damping*, a wide range of instabilities, chemical separation in space plasmas and electron runaway. *Landau damping* occurs because of the energy exchange between an electromagnetic wave with phase velocity v _ { ph } and particles in the plasma with velocity approximately equal to v _ { ph }, which can interact strongly with the wave.- Substituting an integral over a smooth distribution function for the discrete sum over the particles in S ( \ mathbf { k }, \ omega ), yields the Vlasovian expression enabling the calculation of
*Landau damping* ( section 6.4 of ). - The two stream instability can be thought of as the inverse of
*Landau damping*, where the existence of a greater number of particles that move slower than the wave phase velocity v _ { ph } as compared with those that move faster, leads to an energy transfer from the wave to the particles.