Theoretical description of planar channeling process at small depths

Abstract

A model for the description of planar channeling processes on the basis of the solution of the Fokker-Planck equation is developped. It is applied for the calculation of the backscattering yield of protons and He-ions in planar channels of several single crystals. The results are compared with recent measurements.Ein Model1 zur Beschreibung der planaren Kanalleitung auf der Grundlage der Losung der FokkerPlanck-Gleichung wird entwickelt. Es wird fur die Berechnung der Riickstreuausbeute von Protonen und He-Ionen in Fllichenkanlilen verschiedener Einkristalle angewendet. Die Ergebnisse werden mit neuen Messungen verglichen.

The interatomic interaction potentials in radiation physics

“…Instead of simple relations (4.3) to (4.6) for determining the value of A these authors have used a Fokker-Planck equation (see also [260]). In [329] a good agreement of the Moliere potential for planar channeling of protons in silicon has been noted.…”

“…. disfunce along path -attention to the paper by Kuhrt and Wedell [329] which is devoted to a theoretical description of planar channeling for different IP. The corresponding theoretical calculations have been done for the experiment [262].…”

Nonequilibrium Statistical Theory of Channeling. Energy–Momentum Balance Equation and Transverse Quasitemperature of a Channeled Particle Subsystem

“…Then, the associated quasiequilibrium density can be represented as A Now we transform g(q,, 8) into the energy representation [18], where A fair analogy of G(EJ is found in an equilibrium microcanonical distribution when the magnitude G ( E~) / U~ can be interpreted as a density of CP states with transverse energy between cl and .sl + dEL. In the present paper the consideration of channeling has been developed on the basis of the nonequilibrium statistical operator (6) and this makes it possible to generalize the results of preceding investigations [19 to 211. We can study the statistical behavior of the CP beyond the microcanonical ensemble by means of the classical population number corresponding to (7),…”

“…This effect is described in (8) (k, o) is the dielectric function. The averaging of (8) is performed over the distribution (6). As a result we obtain the balance equation of the transverse energy,…”