Geodesic
Two stages of motion of anharmonic oscillators modeling fast particles in crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 1, pp. 123-135

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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, channel, channeled particle, kinetic equation, inelastic scattering, fourth-order anharmonism.
Mots-clés : phonon, Liouville equation 
@article{TMF_2011_167_1_a6,
     author = {Yu. A. Kashlev},
     title = {Two stages of motion of anharmonic oscillators modeling fast particles in crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {123--135},
     publisher = {mathdoc},
     volume = {167},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_1_a6/}
}
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Yu. A. Kashlev. Two stages of motion of anharmonic oscillators modeling fast particles in crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 1, pp. 123-135. http://geodesic.mathdoc.fr/item/TMF_2011_167_1_a6/