Introducing Some Basic Concepts. 4.14.09. Linear Theories of Waves. (Vanishingly) small perturbations Particle orbits are not affected by waves. Dispersion relation is independent of wave energy.
A group of similar systems but suitably randomized so that statistical study is meaningful.
which introduces a totally new approach in statistical theory of plasma physics.
where and denote the position and momentum of a given particle.
In addition to the kinetic equation we also need the Maxwell equations
and assume so that the equations can be linearized. The result is
If we neglect the terms involving products of fluctuating quantities, we obtain