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Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
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Amazon.com Product Description (ISBN 0198505612, Hardcover)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 and directed models. The important feature in all these models is the contribution of conformational degrees of freedom to the free energy, which leads 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 discussed and are applied to models of collapsing and adsorbing walks, to composite polygons and crumpling surfaces.
(retrieved from Amazon Thu, 12 Mar 2015 18:08:15 -0400)
"This book provides a self-contained and authoritative introduction to the mathematical theory of homogenization, which describes the replacement of a real composite material by a fictitious homogeneous one. This topic is especially important now that composite materials are widely used in industry: well-known examples are the superconducting multi-filamentary composites which are used in the composition of optical fibres. The aim of the theory is to describe the macroscopic properties of the composite by taking into account the properties of the microscopic structure."--BOOK JACKET.
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