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Springer Proceedings in Mathematics & Statistics

Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

Banff International Research Station, Banff, Canada, 28 August - 2 September 2016

Editors: Bonilla, Luis Lopez, Kaxiras, Efthimios, Melnik, Roderick (Eds.)

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About this book

This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description.

Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale.

The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified.

The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Nonlinear Quantum Mechanics

    Pages 3-33

    Birnir, Björn

  • Chaotic Current Self-oscillations in Doped, Weakly Coupled Semiconductor Superlattices for True Random Number Generation

    Pages 35-50

    Zhang, Yaohui (et al.)

  • Transport Out of Locally Broken Detailed Balance

    Pages 51-64

    Sánchez, Rafael

  • Non-perturbative Approaches in Nanoscience and Corrections to Finite-Size Scaling

    Pages 65-73

    Kaupužs, J. (et al.)

  • Continuum Model for Coupled Acousto-Optical Phonons in Piezoelectric Materials

    Pages 75-93

    Willatzen, Morten (et al.)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-76599-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-76598-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-030-09530-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications
Book Subtitle
Banff International Research Station, Banff, Canada, 28 August - 2 September 2016
Editors
  • Luis Lopez Bonilla
  • Efthimios Kaxiras
  • Roderick Melnik
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
232
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-76599-0
DOI
10.1007/978-3-319-76599-0
Hardcover ISBN
978-3-319-76598-3
Softcover ISBN
978-3-030-09530-7
Series ISSN
2194-1009
Edition Number
1
Number of Pages
X, 314
Number of Illustrations
32 b/w illustrations, 68 illustrations in colour
Topics