Buch, Englisch, Band 338, 122 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 242 g
Reihe: Lecture Notes in Physics
Buch, Englisch, Band 338, 122 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 242 g
Reihe: Lecture Notes in Physics
ISBN: 978-3-662-13717-8
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Thermodynamik
- Naturwissenschaften Chemie Physikalische Chemie
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
- Naturwissenschaften Physik Quantenphysik Atom- und Molekülphysik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde
Weitere Infos & Material
Directed walk models of polymer conformations.- Line interfaces in two dimensions: Solid-on-solid models.- Polymers at surfaces.- Models of stacks and compact clusters.- Summary.