Dissertation
Ion-acoustic wave dynamics in a two-fluid plasma
Doctor of Philosophy (Ph.D.), Drexel University
Jun 2024
DOI:
https://doi.org/10.17918/00010693
Abstract
Plasma is a medium filled with free electrons and positive ions. Each particle acts as a conducting fluid with a single velocity and temperature when electromagnetic fields are present. This distinction between the roles played by electrons and ions is what we refer to as the two-fluid description of plasma. In this talk, we investigate the dynamics of these particles in both hot and cold plasma using a collisionless "Euler-Poisson" system. Employing analytical and computational techniques from differential equations, we show this system is governed by the dynamics of the Korteweg-de Vries (KdV) equation in the long-wavelength limit and possesses solitary wave solutions.
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Details
- Title
- Ion-acoustic wave dynamics in a two-fluid plasma
- Creators
- Emily Kay Kelting
- Contributors
- Jay Douglas Wright (Advisor)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Number of pages
- viii, 80 pages
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- College of Arts and Sciences; Drexel University; Mathematics
- Other Identifier
- 991021890314504721