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Title: Ergodic mixing for turbulent drift motion

Abstract

The statistical properties of the long-time chaotic two-dimensional (2D) drift motion of a charged particle in an inhomogeneous magnetic field {beta}(x,y) and a time-dependent electrostatic potential {phi}(x,y,t) are studied by numerical symplectic integration. For a conditionally periodic potential with two or more incommensurate frequencies, an ergodic behavior is demonstrated in which the probability density of the particle position is proportional to the magnetic field {beta}. The accuracy of this prediction is found to be independent of the number N{sub {omega}} of the incommensurate frequencies for N{sub {omega}} {ge}2.

Authors:
;
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
94636
Report Number(s):
DOE/ER/53266-51; FRCR-460
ON: DE95012143; TRN: 95:018432
DOE Contract Number:  
FG05-88ER53266
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 16 Feb 1995
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION; CHARGED-PARTICLE TRANSPORT; ERGODIC HYPOTHESIS; MAGNETIC FIELDS; HAMILTONIANS; HAMILTON-JACOBI EQUATIONS; PLASMA DRIFT; TURBULENCE; MIXING

Citation Formats

Isichenko, M B, and Petviashvili, N V. Ergodic mixing for turbulent drift motion. United States: N. p., 1995. Web. doi:10.2172/94636.
Isichenko, M B, & Petviashvili, N V. Ergodic mixing for turbulent drift motion. United States. https://doi.org/10.2172/94636
Isichenko, M B, and Petviashvili, N V. 1995. "Ergodic mixing for turbulent drift motion". United States. https://doi.org/10.2172/94636. https://www.osti.gov/servlets/purl/94636.
@article{osti_94636,
title = {Ergodic mixing for turbulent drift motion},
author = {Isichenko, M B and Petviashvili, N V},
abstractNote = {The statistical properties of the long-time chaotic two-dimensional (2D) drift motion of a charged particle in an inhomogeneous magnetic field {beta}(x,y) and a time-dependent electrostatic potential {phi}(x,y,t) are studied by numerical symplectic integration. For a conditionally periodic potential with two or more incommensurate frequencies, an ergodic behavior is demonstrated in which the probability density of the particle position is proportional to the magnetic field {beta}. The accuracy of this prediction is found to be independent of the number N{sub {omega}} of the incommensurate frequencies for N{sub {omega}} {ge}2.},
doi = {10.2172/94636},
url = {https://www.osti.gov/biblio/94636}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Feb 16 00:00:00 EST 1995},
month = {Thu Feb 16 00:00:00 EST 1995}
}