**Description:**

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.

Contents:

**Preface**

**Acknowledgments**

**Author biographies**

**Chapter 1.** From
complex to simple: lattice models, agents, rules • References

**Chapter 2.**
Stochastic cellular highways, random walks and the master equation • References

**Chapter 3.**
Nanoparticle self assembly on Cayley trees: a simple model of drug
encapsulation in nanomedicine • References

**Chapter 4.**
Nanoscience: a simple model for ionic self assembly of nanoparticles •
References

**Chapter 5.**
Cooperative sequential adsorption models and the Ising model • References

**Chapter 6. **Two
dimensional growth models • References

**Chapter 7.** A
quantum mechanical approach to a stochastic epidemic type model • References

**Chapter 8.**
Exact solutions for general two state stochastic models using matrix theory •
References

**Chapter 9.**
Multi temperature kinetic Ising models and special matrices • References

**Chapter 10. **Conclusions

About the Authors:

**Dan A. 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.

**H. Thomas 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.

Target Audience:

This
book is useful for researchers interested in using statistical physics methods.
Undergraduate and graduate students will find this book useful as a gentle
introduction to some models and techniques used in non-equilibrium statistical
physics.