The statistical mechanics of interacting walks, polygons, animals and vesicles

著者

• Rensburg, E. J. Janse van

書誌事項

The statistical mechanics of interacting walks, polygons, animals and vesicles

E.J. Janse van Rensburg

（Oxford lecture series in mathematics and its applications, 18）

Oxford University Press, 2000

• : hbk

注記

Bibliography: p. [359]-375

Includes index

内容説明・目次

内容説明

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.

目次

• 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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA46638793
• ISBN:
  • 0198505612
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford
• ページ数/冊数: x, 379 p.
• 大きさ: 24 cm
• 分類:
  • DC21 : 530.429
• 件名:
  • LCSH : Polymers
  • LCSH : Lattice theory
• 親書誌ID:
  • BA2340416X