Dynamics of quasiparticles in a~nonstationary random field
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 401-417
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The problem of nonlinear absorption of a stochastic acoustic signal
in superconductors is reduced to an investigation of the states of
the one-dimensional Dirac equation in a coordinate system moving
with constant velocity and with a random potential [1,2]. In the
present paper a study is made of the properties of the problem of
scattering by a random potential that determine the rate of dissipation
of the acoustic energy and also of the localized properties
of solutions in the case of an infinitely extended signal. If the
projection of the Fermi velocity of an electron onto the direction
of propagation of the signal is less than the velocity of sound,
then all states in the field of an infinitely extended signal are
localized (there is a purely point spectrum), and the mean coefficient
of transmission of an electron through the region occupied by
the sound is exponentially small for a sufficiently long signal.
In the opposite case all states are delocalized (the spectrum is
absolutely continuous), and on scattering reflection is replaced by
partial transformation, for which the mean coefficient of disbalance
is exponentially small for a sufficiently long signal.
@article{TMF_1988_76_3_a8,
author = {E. N. Bratus' and S. A. Gredeskul and L. A. Pastur and V. S. Shumeiko},
title = {Dynamics of quasiparticles in a~nonstationary random field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {401--417},
publisher = {mathdoc},
volume = {76},
number = {3},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a8/}
}
TY - JOUR AU - E. N. Bratus' AU - S. A. Gredeskul AU - L. A. Pastur AU - V. S. Shumeiko TI - Dynamics of quasiparticles in a~nonstationary random field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 401 EP - 417 VL - 76 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a8/ LA - ru ID - TMF_1988_76_3_a8 ER -
%0 Journal Article %A E. N. Bratus' %A S. A. Gredeskul %A L. A. Pastur %A V. S. Shumeiko %T Dynamics of quasiparticles in a~nonstationary random field %J Teoretičeskaâ i matematičeskaâ fizika %D 1988 %P 401-417 %V 76 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a8/ %G ru %F TMF_1988_76_3_a8
E. N. Bratus'; S. A. Gredeskul; L. A. Pastur; V. S. Shumeiko. Dynamics of quasiparticles in a~nonstationary random field. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 401-417. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a8/