Dynamics of quasiparticles in a nonstationary random field

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. In the present paper a study is made of the prop...

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Bibliographic Details
Published in:Theoretical and mathematical physics 1989-03, Vol.76:3
Main Authors: Bratus, E.N., Gredeskul, S.A., Pastur, L.A., Shumeiko, V.S.
Format: Article
Language:English
Subjects:
656100 - Condensed Matter Physics- Superconductivity
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
ABSORPTION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
ELECTRICAL PROPERTIES
ELECTRONS
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY LOSSES
ENERGY SPECTRA
EQUATIONS
FERMIONS
GAUSSIAN PROCESSES
INTERACTIONS
LEPTONS
LOSSES
MATHEMATICAL MODELS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PHYSICAL PROPERTIES
PROBABILITY
QUANTUM MECHANICS
QUASI PARTICLES
RANDOMNESS
SCATTERING
SCHROEDINGER EQUATION
SIGNALS
SOUND WAVES
SPECTRA
STATISTICAL MODELS
STOCHASTIC PROCESSES
SUPERCONDUCTIVITY
SUPERCONDUCTORS
TRANSPORT THEORY
WAVE EQUATIONS
WAVE PROPAGATION
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Description
Summary: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. 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.
ISSN:0040-5779
1573-9333