A statistical study of gyroaveraging effects in a reduced model of driftwave transport
Here, a statistical study of finite Larmor radius (FLR) effects on transport driven by electrostatic driftwaves is presented. The study is based on a reduced discrete Hamiltonian dynamical system known as the gyroaveraged standard map (GSM). In this system, FLR effects are incorporated through the gyroaveraging of a simplified weakturbulence model of electrostatic fluctuations. Formally, the GSM is a modified version of the standard map in which the perturbation amplitude, K _{0}, becomes K _{0}J _{0}($$\hat{p}$$), where J _{0} is the zerothorder Bessel function and $$\hat{p}$$ s the Larmor radius. Assuming a Maxwellian probability density function (pdf) for $$\hat{p}$$ , we compute analytically and numerically the pdf and the cumulative distribution function of the effective driftwave perturba tion amplitude K _{0}J _{0}($$\hat{p}$$). Using these results, we compute the probability of loss of confinement (i.e., global chaos), P _{c} provides an upper bound for the escape rate, and that P _{t }rovides a good estimate of the particle trapping rate. Lastly. the analytical results are compared with direct numerical MonteCarlo simulations of particle transport.
 Authors:

^{[1]};
^{[2]}
;
^{[3]};
^{[1]}
 Univ. of Sao Paulo (Brazil)
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Humboldt Univ. of Berlin (Germany). Physics Inst.
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 23; Journal Issue: 8; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE Office of Science (SC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING
 OSTI Identifier:
 1333071
 Alternate Identifier(s):
 OSTI ID: 1306688
Fonseca, Julio, DelCastilloNegrete, Diego B., Sokolov, Igor M., and Caldas, Ibere L.. A statistical study of gyroaveraging effects in a reduced model of driftwave transport. United States: N. p.,
Web. doi:10.1063/1.4961430.
Fonseca, Julio, DelCastilloNegrete, Diego B., Sokolov, Igor M., & Caldas, Ibere L.. A statistical study of gyroaveraging effects in a reduced model of driftwave transport. United States. doi:10.1063/1.4961430.
Fonseca, Julio, DelCastilloNegrete, Diego B., Sokolov, Igor M., and Caldas, Ibere L.. 2016.
"A statistical study of gyroaveraging effects in a reduced model of driftwave transport". United States.
doi:10.1063/1.4961430. https://www.osti.gov/servlets/purl/1333071.
@article{osti_1333071,
title = {A statistical study of gyroaveraging effects in a reduced model of driftwave transport},
author = {Fonseca, Julio and DelCastilloNegrete, Diego B. and Sokolov, Igor M. and Caldas, Ibere L.},
abstractNote = {Here, a statistical study of finite Larmor radius (FLR) effects on transport driven by electrostatic driftwaves is presented. The study is based on a reduced discrete Hamiltonian dynamical system known as the gyroaveraged standard map (GSM). In this system, FLR effects are incorporated through the gyroaveraging of a simplified weakturbulence model of electrostatic fluctuations. Formally, the GSM is a modified version of the standard map in which the perturbation amplitude, K0, becomes K0J0($\hat{p}$), where J0 is the zerothorder Bessel function and $\hat{p}$ s the Larmor radius. Assuming a Maxwellian probability density function (pdf) for $\hat{p}$ , we compute analytically and numerically the pdf and the cumulative distribution function of the effective driftwave perturba tion amplitude K0J0($\hat{p}$). Using these results, we compute the probability of loss of confinement (i.e., global chaos), Pc provides an upper bound for the escape rate, and that Pt rovides a good estimate of the particle trapping rate. Lastly. the analytical results are compared with direct numerical MonteCarlo simulations of particle transport.},
doi = {10.1063/1.4961430},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = {2016},
month = {8}
}