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.
- | Author: Dan A. Mazilu|Irina Mazilu|H. Thomas Williams
- | Publisher: IOP Concise Physics
- | Publication Date: Aug 24, 2018
- | Number of Pages: 68 pages
- | Language: English
- | Binding: Paperback/Science
- | ISBN-10: 1643271172
- | ISBN-13: 9781643271170