From complex to simple : interdisciplinary stochastic models
Statistical physics
IOP Publishing
2018
EISBN 9781643271200
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.
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 and explores a variety of mathematical techniques to solve the master equations that govern these models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social science, and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.
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.
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 and explores a variety of mathematical techniques to solve the master equations that govern these models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social science, and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.
