# landau damping sentence in Hindi

###### SentencesMobile

- 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.
- 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.

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