Format:
Online-Ressource (digital)
ISBN:
9783642003332
Series Statement:
Lecture Notes in Mathematics 1974
Content:
Polymers with Self-Interaction -- Soft Polymers in Low Dimension -- Soft Polymers in High Dimension -- Elastic Polymers -- Polymer Collapse -- Polymer Adsorption -- Polymers in Random Environment -- Charged Polymers -- Copolymers near a Linear Selective Interface -- Copolymers near a Random Selective Interface -- Random Pinning and Wetting of Polymers -- Polymers in a Random Potential -- Two Basic Models.
Content:
Polymer chains that interact with themselves and/or with their environment are fascinating objects, displaying a range of interesting physical and chemical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attracting polymers, polymers interacting with interfaces, charged polymers, copolymers near linear or random selective interfaces, polymers interacting with random substrate and directed polymers in random environment. Different techniques are exposed, including the method of local times, large deviations, the lace expansion, generating functions, the method of excursions, ergodic theory, partial annealing estimates, coarse-graining techniques and martingales. Thus, this monograph offers a mathematical panorama of polymer chains, which even today holds plenty of challenges.
Note:
Includes bibliographical references (p. 233-247) and index
Additional Edition:
ISBN 9783642003325
Additional Edition:
Buchausg. u.d.T. Hollander, Frank den, 1956 - Random polymers Berlin : Springer, 2009 ISBN 9783642003325
Language:
English
Subjects:
Mathematics
Keywords:
Kettenmolekül
;
Stochastisches Modell
;
Kettenmolekül
;
Stochastisches Modell
DOI:
10.1007/978-3-642-00333-2
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Hollander, Frank den 1956-
