Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems: Proceedings of the NATO Advanced Study Institute, held in St. Etienne de Tinee, ... II: Mathematics, Physics and Chemistry)

341 Pages·2006·5.63 MB·English

by  Alexander A. Golovin, Alexander A. Nepomnyashchy

Self-Assembly, Pattern Formation and Growth
Phenomena in Nano-Systems
NATO Science Series
A Series presenting the results of scientific meetings supported under the NATO Science
Programme.
The Series is published by IOS Press, Amsterdam, and Springer (formerly Kluwer Academic
Publishers) in conjunction with the NATO Public Diplomacy Division
Sub-Series
I. Life and Behavioural Sciences IOS Press
II. Mathematics, Physics and Chemistry Springer (formerly Kluwer Academic Publishers)
III. Computer and Systems Science IOS Press
IV. Earth and Environmental Sciences Springer (formerly Kluwer Academic Publishers)
The NATO Science Series continues the series of books published formerly as the NATO ASI Series.
The NATO Science Programme offers support for collaboration in civil science between scientists of
countries of the Euro-Atlantic Partnership Council.The types of scientific meeting generally supported
are “Advanced Study Institutes” and “Advanced Research Workshops”, and the NATO Science Series
collects together the results of these meetings. The meetings are co-organized by scientists from
NATO countries and scientists from NATO’s Partner countries – countries of the CIS and Central and
Eastern Europe.
Advanced Study Institutes are high-level tutorial courses offering in-depth study of latest advances
in a field.
Advanced Research Workshops are expert meetings aimed at critical assessment of a field, and
identification of directions for future action.
As a consequence of the restructuring of the NATO Science Programme in 1999, the NATO Science
Series was re-organized to the four sub-series noted above. Please consult the following web sites for
information on previous volumes published in the Series.
http://www.nato.int/science
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Series II: Mathematics, Physics and Chemistry – Vol. 216
Self-Assembly, Pattern Formation
and Growth Phenomena
in Nano-Systems
edited by
Alexander A. Golovin
Northwestern University,
Evanston, IL, U.S.A.
and
Alexander A. Nepomnyashchy
Israel Institute of Technology,
Haifa, Israel
Published in cooperation with NATO Public Diplomacy Division
Proceedings of the NATO Advanced Study Institute on
Self- Assembly, Pattern Formation and Growth
Phenomena in Nano-System s
St. Etienne de Tinee, France
August 28– September 11, 2004
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 1-4020-4353-8 (PB)
ISBN-13 978-1-4020-4353-6 (PB)
ISBN-10 1-4020-4354-6 (HB)
ISBN-13 978-1-4020-4354-3 (HB)
ISBN-10 1-4020-4355-4 (e-book)
ISBN-13 978-1-4020-4355-0 (e-book)
Published by Springer,
P.O. Box 17, 3300 AA Dordrecht, The Netherlands.
www.springer.com
Printed on acid-free paper
All Rights Reserved
© 2006 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, microfilming,
recording or otherwise, without written permission from the Publisher, with the exception
of any material supplied specifically for the purpose of being entered
and executed on a computer system, for exclusive use by the purchaser of the work.
Printed in the Netherlands.
This book is dedicated to the
memory of Lorenz Kramer
v
Contents
Dedication v
Contributing Authors xi
Foreword xiii
Preface xv
Acknowledgments xvii
General Aspects of Pattern Formation 1
a b
Alexander A. Nepomnyashchy and Alexander A. Golovin
1 Introduction 1
2 Basic models for domain coarsening and pattern formation 3
3 Pattern selection 11
4 Modulated patterns 22
5 Beyond the Swift-Hohenberg model 41
6 Wavy patterns 43
7 Conclusions 50
8 Acknowledgement 52
References 52
Convective patterns in liquid crystals driven by electric field 55
Agnes Buka, Nándor Éber, Werner Pesch, Lorenz Kramer
Introduction 56
1 Physical properties of nematics 57
2 Electroconvection 61
Acknowledgements 79
References 80
Dynamical phenomena in nematic liquid crystals induced by light 83
Dmitry O. Krimer, Gabor Demeter, and Lorenz Kramer
Introduction 83
1 Simple setups - complicated phenomena 84
2 Theoretical description 85
3 Obliquely incident, linearly polarized light 91
4 Perpendicularly incident, circularly polarized light 98
5 Perpendicularly incident, elliptically polarized light 107
6 Finite beam-size effects and transversal pattern formation 115
Acknowledgments 120
vii
viii PATTERN FORMATION IN NANO-SYSTEMS
References 120
Self-Assembly of Quantum Dots from Thin Solid Films 123
Alexander A. Golovin, Peter W. Voorhees, and Stephen H. Davis
1 Introduction 123
2 Mechanisms of morphological evolution of epitaxial films 124
3 Elastic effects and wetting interactions 127
4 Surface-energy anisotropy and wetting interactions 139
5 Conclusions 156
Acknowledgment 157
References 156
Macroscopic and mesophysics together: the moving contact line
problem revisited
159
Yves Pomeau
References 166
Nanoscale Effects in Mesoscopic Films 167
L. M. Pismen
Introduction 167
1 Hydrodynamic Equations 169
2 Thermodynamic Equations 173
3 Fluid-Substrate Interactions 178
4 Dynamic Contact Line 184
5 Mobility Relations 186
Acknowledgements 192
References 192
Dynamics of thermal polymerization waves 195
V.A. Volpert
1 Introduction 195
2 Mathematical model 198
3 Gasless combustion 202
4 Analysis of base FP model 230
5 Other thermal FP studies 238
6 Conclusion 239
References 239
Spatiotemporal Pattern Formation in Solid Fuel Combustion 247
Alvin Bayliss Bernard J. Matkowsky Vladimir A. Volpert
1 Introduction. 248
2 Mathematical Model 254
3 Analytical Results 257
4 Computational Results 267
References 280
Contents ix
Self-organization of microtubules and motors 283
Igor S. Aranson, Lev S. Tsimring
Introduction 283
1 Maxwell Model and Orientational Instability 285
2 Spatial Localization 288
3 Aster and Vortex Solutions 291
4 Conclusion 293
Acknowledgments 294
References 294
Physics of DNA 295
Maxim D. Frank-Kamenetskii
1 Introduction 295
2 Major structures of DNA 296
3 DNA functioning 300
4 Global DNA conformation 303
5 The DNA stability 317
6 Conclusion 322
References 322
Topic Index 327
Contributing Authors
Dr. Igor S. Aranson, Argonne National Laboratory, 9700 South Cass Avenue,
Argonne, Illinois 60439, USA
Prof. Alvin Bayliss, Department of Engineering Sciences and Applied Mathe-
matics, Northwestern University, 2145 Sheridan Rd, Evanston, IL 60208, USA
Prof. Agnes Buka, Research Institute for Solid State Physics and Optics of the
Hungarian Academy of Sciences, Konkoly-Thege Miklos u. 29-33, H-1121
Budapest, Hungary
Prof. Stephen H. Davis, Department of Engineering Sciences and Applied
Mathematics, Northwestern University, 2145 Sheridan Rd, Evanston, IL 60208,
USA
Dr. Gabor Demeter, Research Institute for Particle and Nuclear Physics of
the Hungarian Academy of Sciences, Konkoly-Thege Miklos ut 29-33, H-1121
Budapest, Hungary
Prof. Nandor Eber, Research Institute for Solid State Physics and Optics of
the Hungarian Academy of Sciences, Konkoly-Thege Miklos u. 29-33, H-1121
Budapest, Hungary
Prof. Maxim D. Frank-Kamenetskii, Department of Biomedical Engineer-
ing, Boston University, 36 Cummington St., Boston, MA 02215, USA
Prof. Alexander A. Golovin, Department of Engineering Sciences and Ap-
plied Mathematics, Northwestern University, 2145 Sheridan Rd, Evanston, IL
60208, USA
xi