Fractional Dynamics, Anomalous Transport and Plasma Science Lect
This book collects interrelated lectures on fractal dynamics, anomalous transport and various historical and modern aspects of plasma sciences and technology. The origins of plasma science in connection to electricity and electric charges and device
- PDF / 6,251,170 Bytes
- 207 Pages / 453.544 x 683.151 pts Page_size
- 55 Downloads / 232 Views
ctional Dynamics, Anomalous Transport and Plasma Science Lectures from CHAOS2017
Fractional Dynamics, Anomalous Transport and Plasma Science
Christos H. Skiadas Editor
Fractional Dynamics, Anomalous Transport and Plasma Science Lectures from CHAOS2017
123
Editor Christos H. Skiadas ManLab, Technical University of Crete Chania, Crete, Greece
ISBN 978-3-030-04482-4 ISBN 978-3-030-04483-1 https://doi.org/10.1007/978-3-030-04483-1
(eBook)
Library of Congress Control Number: 2018961726 © Springer Nature Switzerland AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Organizing this book on Fractional Dynamics, Anomalous Transport and Plasma Science—Lectures from CHAOS2017, we have to face the fascinating theory and applications of plasma science. The development of the related theory was followed by numerous applications, whereas the new findings brought new questions and new scientific areas of research and model building. It was evident that the classical model building based on derivatives had to be improved by using a “fraction” of some of these derivatives. Though the expansion of a function in a Taylor series theoretically could include as many as higher-order derivatives as possible to account for the details of the system, the usual methodology includes the first- and second-order derivatives in the majority of cases. The introduction of stochastic differentials and stochastic calculus added extra terms to compensate for the stochastic character of the real-life situations. Following the original works after 1900 and the first interesting achievements in stochastic model building the precise data collection give rise to findings needing a model reorganization and improvement.
Data Loading...
