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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
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Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties

Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties

Privman, Vladimir
Svrakic, Nenad M.

Paperback

Series: Lecture Notes in Physics, Book 338

Technology & EngineeringChemistryPhysics

ISBN10: 3662137178
ISBN13: 9783662137178
Publisher: Springer Nature
Published: Aug 23 2014
Pages: 122
Weight: 0.49
Height: 0.28 Width: 6.69 Depth: 9.61
Language: English
This monograph gives a detailed introductory exposition of research results for various models, mostly two-dimensional, of directed walks, interfaces, wetting, surface adsorption (of polymers), stacks, compact clusters (lattice animals), etc. The unifying feature of these models is that in most cases they can be solved analytically. The methods used include transfer matrices, generating functions, recurrence relations, and difference equations, and in some cases involve utilization of less familiar mathematical techniques such as continued fractions and q-series. The authors emphasize an overall view of what can be learned generally of the statistical mechanics of anisotropic systems, including phenomena near surfaces, by studying the solvable models. Thus, the concept of scaling and, where known, finite-size scaling properties are elucidated. Scaling and statistical mechanics of anisoptropic systems in general are active research topics. The volume provides a comprehensive survey of exact model results in this field.

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