This article is cited in 2 papers

Two stages of motion of anharmonic oscillators modeling fast particles in crystals

Yu. A. Kashlev

Baikov Institute for Metallurgy and Material Science, RAS, Moscow, Russia

Abstract: We consider the evolution of the spatial distribution of fast atomic particles as they pass through a crystal. At small penetration depths where the particles move without significant loss of coherence, the joint probability density function becomes smoother at the expense of the gradient of the anharmonic potential of the planar channel. We show that as a result of this smoothing, there arises a quasiequilibrium (quasistationary) state of the subsystem of fast particles. The further evolution of the particle distribution is caused by nonelastic scattering and is described by the kinetic equation. At this stage, the anharmonic character of particle oscillations between the channel walls results in a renormalization of the total phonon scattering cross section of particles, and the renormalization is determined by the fourth-order anharmonic interaction.

Keywords: fast atomic particle, anharmonic oscillator, crystal, phonon, channel, channeled particle, Liouville equation, kinetic equation, inelastic scattering, fourth-order anharmonism.

Received: 28.06.2010
Revised: 27.10.2010

DOI: 10.4213/tmf6629

 English version: Theoretical and Mathematical Physics, 2011, 167:1, 506–516

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