The Effect of Temperature on the Width of a Small-Amplitude (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.32
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book explores a groundbreaking solution to the problem of solitary waves in a warm plasma, a topic previously studied assuming the plasma to be cold. The author, an expert in plasma physics, derives a differential equation for the asymptotic shape of the wave, considering the effects of temperature and pressure. The resulting solution reveals that the width of the wave is larger in a warm plasma than in a cold plasma, with the factor of the increase being inversely proportional to the ratio of material pressure to magnetic pressure. This finding has significant implications for the study of weak, collision-free plasma shocks, particularly in contexts where the electron sound speed is small compared to the Alfven speed in the undisturbed plasma. The book's insights contribute to a deeper understanding of the behavior of solitary waves in warm plasmas and provide a valuable resource for researchers in plasma physics and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781334260544_0
- Title
- The Effect of Temperature on the Width of a Small-Amplitude (Classic Reprint)
- Author
- Clifford S. Gardner, G. K. Morikawa
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334260540
- ISBN 13
- 9781334260544
- Seller catalogs
- Physics
How temperature shapes a solitary wave in a collision-free plasma. This study examines how finite plasma temperature alters the width of a small-amplitude, nonlinear wave traveling normal to a magnetic field.
The work builds on earlier cold-plasma models and extends them to warm plasmas using a careful scaling approach. It shows that, while the wave remains a solitary structure, its width changes in ways tied to temperature while preserving a non-linear character. The analysis combines kinetic and field equations to derive a solvable formulation in the small-amplitude limit, highlighting how temperature influences the wave’s profile through the governing equations.
- How temperature affects the width of a solitary wave in a collision-free plasma.
- The role of scaling and small-amplitude approximations in deriving a tractable solution.
- How the warm-plasma results relate to the cold-plasma case and to magnetic-field–driven dynamics.
- Connections to broader problems in nonlinear wave theory and plasma physics.
Ideal for readers of plasma physics and nonlinear wave theory who want a clear, methodical look at how temperature changes influence solitary-wave behavior.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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