Coupled mathematical models for physical and biological nanoscale systems and their applications : Banff International Research Station, Banff, Canada, 28 August - 2 September 2016 / Luis L. Bonilla, Efthimios Kaxiras, Roderick Melnik, editors.
BIRS Workshop (2016 : Banff, Alta.); Bonilla, L. L. (Luis López), 1956- editor.; Kaxiras, Efthimios, editor.; Melnik, Roderick, editor.; Banff International Research Station for Mathematics Innovation & Discovery.
2018
T174.7
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Title
Coupled mathematical models for physical and biological nanoscale systems and their applications : Banff International Research Station, Banff, Canada, 28 August - 2 September 2016 / Luis L. Bonilla, Efthimios Kaxiras, Roderick Melnik, editors.
Meeting Name
BIRS Workshop (2016 : Banff, Alta.)
ISBN
9783319765990 (electronic book)
331976599X (electronic book)
9783319765983
Published
Cham, Switzerland : Springer, [2018]
Language
English
Description
1 online resource.
Call Number
T174.7
Dewey Decimal Classification
620/.5
Summary
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.
Note
Contains papers from a workshop held at the Banff International Research Station, Banff, Canada, from 28 August-2 September 2016.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (viewed June 25, 2018).
Added Author
Bonilla, L. L. (Luis López), 1956- editor.
Kaxiras, Efthimios, editor.
Melnik, Roderick, editor.
Added Corporate Author
Banff International Research Station for Mathematics Innovation & Discovery.
Series
Springer proceedings in mathematics & statistics ; v.232.
Linked Resources
Online Access
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Intro; Preface; Contents; Part I Charge and Spin Transport in Low-Dimensional Structures; Nonlinear Quantum Mechanics; 1 Introduction; 2 The Local Density Approximation; 3 Homogeneous Quantum Wells; 4 The Hartree Iteration; 5 Intersubband Absorption; 6 Time-Dependent Local Density Approximation; 7 Nonlinear Phenomena in Asymmetric Quantum Wells; 8 Experimental Search by Morris and Sherwin (2011); 9 The Anticipated Results: The Quantum Oscillator; 10 Semiconductor Superlattices; 11 Model; 11.1 Noise; 11.2 Disorder; 12 Numerical Methods; 13 Results; 13.1 N=10; 13.2 N > 10; 13.3 Noise

13.4 Disorder14 Discussion; 15 Conclusions; References; Chaotic Current Self-oscillations in Doped, Weakly Coupled Semiconductor Superlattices for True Random Number Generation; 1 Introduction; 2 Electric-Field Domain Formation and Chaos in Semiconductor Superlattices; 2.1 Electric-Field Domains; 2.2 Spontaneous Current Self-oscillations and Chaos; 2.3 Spontaneous Current Self-oscillations at Room Temperature; 3 True Random Number Generator Based on GaAs/A0.45Ga0.55As Superlattices; 4 Chaos Synchronization in Networks of GaAs/A0.45Ga0.55As Superlattices; 5 Summary and Conclusions

5 Deformation Potential Coupling and Deformation Hamiltonian6 Discussions; References; Part II Modeling Biological Phenomena from Nano- to Macro-scales; Stochastic Models of Tumor Induced Angiogenesis; 1 Introduction; 2 Langevin Tip Cell Models; 3 Deterministic Description; 4 Soliton and Collective Coordinates; 5 Random Walk Tip Cell Models; 6 Cellular Potts Models; 7 Blood Flow and Vascular Network; 8 Conclusions; References; Biofilm Mechanics and Patterns; 1 Biofilm Shapes; 2 Filamentary Structures in Flows; 2.1 Helical Biofilms; 2.2 Discrete Rod Framework

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