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Title: Random phase wave: a soluble non-Markovian system

Abstract

The averaged propagator and the corresponding mass operator (non-Markovian particle-wave collision operator) of a particle being accelerated by a random potential are constructed explicitly in a model system. The model consists of an ensemble of monochromatic waves of random phase, such as arises in narrow-bandwidth plasma turbulence, and is particularly interesting as a system exhibiting strong trapping. An essential simplifying feature is that the propagator is evaluated in oscillation-center picture, which greatly simplifies the momentum-space operators occurring in the problem, and leads to a remarkable factorization of the mass operator. General analyticity and symmetry properties are derived using a projection-operator method, and verified for the solution of the model system. The nature of the memory exhibited by the mass operator is briefly examined.

Authors:
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
OSTI Identifier:
5208226
Report Number(s):
PPPL-1401
TRN: 78-005617
DOE Contract Number:  
EY-76-C-02-3073
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; RANDOM PHASE APPROXIMATION; MATHEMATICAL MODELS; PLASMA WAVES; SYMMETRY; TRAPPING; TURBULENCE; PLASMA; 700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)

Citation Formats

Dewar, R. L. Random phase wave: a soluble non-Markovian system. United States: N. p., 1977. Web. doi:10.2172/5208226.
Dewar, R. L. Random phase wave: a soluble non-Markovian system. United States. https://doi.org/10.2172/5208226
Dewar, R. L. 1977. "Random phase wave: a soluble non-Markovian system". United States. https://doi.org/10.2172/5208226. https://www.osti.gov/servlets/purl/5208226.
@article{osti_5208226,
title = {Random phase wave: a soluble non-Markovian system},
author = {Dewar, R. L.},
abstractNote = {The averaged propagator and the corresponding mass operator (non-Markovian particle-wave collision operator) of a particle being accelerated by a random potential are constructed explicitly in a model system. The model consists of an ensemble of monochromatic waves of random phase, such as arises in narrow-bandwidth plasma turbulence, and is particularly interesting as a system exhibiting strong trapping. An essential simplifying feature is that the propagator is evaluated in oscillation-center picture, which greatly simplifies the momentum-space operators occurring in the problem, and leads to a remarkable factorization of the mass operator. General analyticity and symmetry properties are derived using a projection-operator method, and verified for the solution of the model system. The nature of the memory exhibited by the mass operator is briefly examined.},
doi = {10.2172/5208226},
url = {https://www.osti.gov/biblio/5208226}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 1977},
month = {Thu Dec 01 00:00:00 EST 1977}
}