The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
Series: Oxford Lecture Series in Mathematics and Its Applications;
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Product details:
- Publisher OUP Oxford
- Date of Publication 23 March 2000
- Number of Volumes laminated boards
- ISBN 9780198505617
- Binding Hardback
- No. of pages390 pages
- Size 242x162x25 mm
- Weight 699 g
- Language English
- Illustrations numerous line illustrations 0
Categories
Short description:
This book describes mathematical models of the thermodynamic behaviour of polymers in a solvent.
MoreLong description:
This book surveys and explains the mathematical methods and techniques used in the study of lattice models of polymers in solvents. The techniques include the self-avoiding walk and its related models including animal and tree graphs, surfaces and vesicles. The important feature in all these models in the contribution of conformational degrees of freedom to the free energy, and this leads on to the idea of a tricritical point. The book explores the theory of
tricriticality showing how it can be used to interpret the limiting free energy and generating functions. Density function and pattern theorems are also discusssed and finally these ideas are applied to models of collapsing and adsorbing walks, to composite polygons and crumpling surfaces.
Table of Contents:
Introduction
Tricriticality
Density Functions
Exact Models
Interacting Models of Walks and Polygons
Animals and Trees
Lattice Vesicles and Surfaces
Appendix A
Appendix B
Appendix C
Appendix D
