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Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
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Arroyo-Rabasa, Adolfo and Winter, Raphael (2021) Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge. Communications in Partial Differential Equations, 46 (8). pp. 1569-1584. doi:10.1080/03605302.2021.1892754 ISSN 0360-5302.
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Official URL: http://dx.doi.org/10.1080/03605302.2021.1892754
Abstract
We prove that the Debye screening length emerges in an infinitely extended plasma with uniform background described by the nonlinear Vlasov-Poisson equation, interacting with a point charge. While screened stationary states as well as the time-dependent problem are well-studied for the linearized equation, there are few rigorous results on screening in the nonlinear setting. As such, the results presented here cover the stationary case under the assumptions predicted by the linearized theory.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
SWORD Depositor: | Library Publications Router | ||||||||
Journal or Publication Title: | Communications in Partial Differential Equations | ||||||||
Publisher: | Taylor & Francis Inc. | ||||||||
ISSN: | 0360-5302 | ||||||||
Official Date: | 2021 | ||||||||
Dates: |
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Volume: | 46 | ||||||||
Number: | 8 | ||||||||
Page Range: | pp. 1569-1584 | ||||||||
DOI: | 10.1080/03605302.2021.1892754 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Open Access Version: |
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