From complex to simple :interdisciplinary stochastic models /

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"Version: 20180801"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. From complex to simple : lattice models, agents, rules -- 2. Stochastic cellular highways, random walks and the master equation -- 3. Nanoparticle self-assembly on Cayley trees : a simple model of drug encapsulation in nanomedicine -- 4. Nanoscience : a simple model for ionic self-assembly of nanoparticles -- 5. Cooperative sequential adsorption models and the Ising model -- 6. Two-dimensional growth models -- 7. A quantum-mechanical approach to a stochastic epidemic-type model -- 8. Exact solutions for general two-state stochastic models using matrix theory -- 9. Multi-temperature kinetic Ising models and special matrices -- 10. Conclusions.This book presents simple interdisciplinary stochastic models meant as a gentle introduction to the field of non-equilibrium statistical physics. It focuses on the analysis of two-state models with cooperative effects and explores a variety of mathematical techniques to solve the master equations that govern these models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social science, and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Dan Mazilu earned his BS in physics at Al. I. Cuza University in Ia?si, Romania and his PhD in physics from Virginia Tech. He joined Washington and Lee University in 2008, where he is currently an associate professor of physics. Dan's research interests include theoretical and experimental studies of self-assembled nanoparticle monolayers and their applications to the fabrication of optical coatings, as well as interdisciplinary projects in the field of complex systems. Irina Mazilu graduated in 1996 from Al. I. Cuza University in Ia?si, Romania, with a BS in theoretical physics. She earned her PhD in physics in 2002 from Virginia Tech. Dr Mazilu is a professor of physics at Washington and Lee University, which she joined in 2004. She is interested in interdisciplinary projects that use statistical physics methods and computer simulation techniques. Current projects include nanoparticle self-assembly and applications of statistical physics to social sciences. Tom Williams earned his BS and PhD in Physics from the University of Virginia. He spent time at the National Bureau of Standards, the Universit?at Erlangen-N?aurnberg, Germany, and Kaman Sciences. Following this, he spent the majority of his career at Washington and Lee University. Currently, his primary research interests are quantum information theory and non-equilibrium statistical mechanics.Title from PDF title page (viewed on September 10, 2018).

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Call Number

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Publisher

: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643271200

Classification

5530.15/95

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Subject(s)

SCIENCE / Physics / Mathematical & Computational.
Mathematical physics.
Statistical physics.

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Statement of Responsibility

Dan A. Mazilu, Irina Mazilu and H. Thomas Williams.

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