Electrical Fluctuations in Polyelectrolytes

This brief is the result of the research the author has performed in recent years covering electrical fluctuations in numerous systems, including molecular electrical fluctuations, ionic fluctuations, ionic dielectric relaxation, spherical and cylindrical

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José Antonio Fornés

Electrical Fluctuations in Polyelectrolytes

123

SpringerBriefs in Molecular Science

More information about this series at http://www.springer.com/series/8898

José Antonio Fornés

Electrical Fluctuations in Polyelectrolytes

123

José Antonio Fornés Federal University of Goiás Goiânia, Goiás, Brazil

ISSN 2191-5407 ISSN 2191-5415 (electronic) SpringerBriefs in Molecular Science ISBN 978-3-319-33839-2 ISBN 978-3-319-33840-8 (eBook) DOI 10.1007/978-3-319-33840-8 Library of Congress Control Number: 2016940063 © Springer International Publishing Switzerland 2017 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

Preface

To my wife, Nélida, who was always a source of love and inspiration. In memory “Science is an evolution of ideas and approximations,” José A. Fornés, 1998. The importance of estimating fluctuations in physics is because they contain a lot of information: Electromagnetic fluctuations are the origin of London (van der Waals) forces (1937) between molecules and Lifchitz forces (1956) between macroobjects. Protonic fluctuations are the origin of Kirkwood and Schumaker forces (1952) between molecules and pH fluctuations (Fornés et al. 1999). Also protonic fluctuations could be the cause of the dielectric increment of proteins in solution. Local electrical fluctuations can influence chemical reactions. Polyelectrolytes are present in almost all the biological systems. In order to understand how these systems work, it is important to know the size of their electrical fluctuations. The present book represents the work the author has performed on this subject while he was professor at the Institute of Physics of Goiás University. I am grateful to my many friends and colleagues. I would like especially to acknowledge the help I received from Amando S. Ito, Joaquim Procopio, and José Nicodemos