The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
Seiten
2000
Oxford University Press (Verlag)
978-0-19-850561-7 (ISBN)
Oxford University Press (Verlag)
978-0-19-850561-7 (ISBN)
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This book describes mathematical models of the thermodynamic behaviour of polymers in a solvent.
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.
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.
E J Janse van Rensburg Department of Mathematics and Statistics York University, Toronto Ontario, CANADA M3J 1P3 Tel. 736-2100 (X33837) Fax. 736-5516 Email: rensburg@mathstat.yorku.ca Nationality: South African Date of birth: 29 November 1959
1. Introduction ; 2. Tricriticality ; 3. Density Functions ; 4. Exact Models ; 5. Interacting Models of Walks and Polygons ; 6. Animals and Trees ; 7. Lattice Vesicles and Surfaces ; Appendix A ; Appendix B ; Appendix C ; Appendix D
| Erscheint lt. Verlag | 1.6.2000 |
|---|---|
| Zusatzinfo | numerous line illustrations |
| Verlagsort | Oxford |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| Mathematik / Informatik ► Mathematik ► Statistik | |
| Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik | |
| Technik | |
| ISBN-10 | 0-19-850561-2 / 0198505612 |
| ISBN-13 | 978-0-19-850561-7 / 9780198505617 |
| Zustand | Neuware |
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