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From Complex to Simple
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Interdisciplinary Stochastic Models
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25,99 €*
Artikel-Nr:
9781643271194
Veröffentl:
2018
Seiten:
67
Autor:
Dan A. Mazilu
Serie:
IOP Concise Physics
eBook Typ:
EPUB
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
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.
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