From Complex to Simple: Interdisciplinary Stochastic Models / Edition 1

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

Overview

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, which are versatile enough to be applied to many physical and social systems. The book also explores a variety of mathematical techniques to solve the master equations that govern these models: matrix theory, empty-interval methods, mean field theory, a quantum approach, and mapping onto classical Ising models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social sciences and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.

Product Details

ISBN-13:	9781643271170
Publisher:	Morgan and Claypool Publishers
Publication date:	08/24/2018
Series:	Iop Concise Physics
Pages:	67
Product dimensions:	7.00(w) x 10.00(h) x 0.00(d)

About the Author

Dan Mazilu earned his B.S. in physics Al. I. Cuza University in Romania and his Ph.D. in physics from Virginia Tech. After several years as a visiting professor at 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 Romania, with a B. S. in theoretical physics. She earned her Ph. D. 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 B.S. and Ph.D. in Physics from the University of Virginia. He spent time at the National Bureau of Standards, the Universitat Erlangen-Nurnberg, 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.

Table of Contents

Table of Contents: Preface / Acknowledgments / Author biographies / 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