Excluded Volume Effects in Polymer Solutions
as Explained by the Renormalization Group
1st Edition
Published on 25. March 1999
Book
Hardback
XVII, 554 pages
978-3-540-65513-8 (ISBN)
Description
Schäfer gives a concise overview of the static equilibrium properties of polymer solutions. In the first part diagrammatic perturbation theory is derived from scratch. The second part illustrates the basic ideas of the renormalization group (RG). The crucial role of dilation invariance is stressed. The more efficient method of dimensional regularization and minimal subtractions is worked out in part three. The fourth part contains a unified evaluation of the theory to the one loop level. All the important experimental quantities are discussed in detail, and the results are compared extensively to experiment. Empirical methods of data analysis are critically discussed. The final (fifth) part is devoted to extensions of theory. The first three parts of this book may serve as the basis of a course. Parts four and five are hoped to be useful for detailed quantitative evaluations of experiments.
More details
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Professional/practitioner
Illustrations
7 s/w Tabellen
7 Tables, black and white; XVII, 554 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
940 gr
ISBN-13
978-3-540-65513-8 (9783540655138)
DOI
10.1007/978-3-642-60093-7
Schweitzer Classification
Other editions
Additional editions
Lothar Schäfer
Excluded Volume Effects in Polymer Solutions
as Explained by the Renormalization Group
E-Book
12/2012
Springer
€117.69
Available for download
Lothar Schäfer
Excluded Volume Effects in Polymer Solutions
as Explained by the Renormalization Group
Book
10/2011
Springer
€128.39
Shipment within 7-9 days
Content
Power Laws, Scaling, Universal Crossover.- Part I: Basic Theoretical Techniques: From a Microscopic Description to Simple Models.- The Noninteracting Gaussian Chain.- The Cluster Expansion.- Grand Canonical Description of Solutions at Finite Concentration.- Breakdown of the Expansions in the Excluded Volume Region.- Continuous Chain Model and Naive Two Parameter Theory. Part II: Renormalization Group and Scaling: The Renormalization Group.- Scaling Theory.- More Complicated Interactions. Part III: Field Theoretic Formulation of the Theory: Renormalized Perrturbation Theory.- Dimensional Regularization and Minimal Subtraction.- Quantitative Form of the Renormalization Ground Mapping.- The Renormalized Tree Approximation. Part IV: One Loop Approximation: Detailed Results and Comparison to Experiment: Dilute Limit.- Details on Internal Structure of Isolated Coils.- Thermodynamic Quantities for Finite Overlap.- Density Autocorrelation at Finite Overlap.- The Density Cumulant.- Summarizing Overview. Part V: Special Topics: The Theta-Region.- Multicomponent Solutions.