From Complex to Simple : Interdisciplinary Stochastic Models (Iop Concise Physics)

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

Morgan & Claypool Publishers（2018/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 67 p.
• 言語 ENG
• 商品コード 9781643271217

Full 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
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