Hollander, Frank.
Random Polymers École d¿Été de Probabilités de Saint-Flour XXXVII ¿ 2007 / [electronic resource] : by Frank Hollander. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. - online resource. - Lecture Notes in Mathematics, 1974 0075-8434 ; . - Lecture Notes in Mathematics, 1974 .
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.
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.
9783642003332
10.1007/978-3-642-00333-2 doi
Mathematics.
Distribution (Probability theory).
Mechanical engineering.
Mathematics.
Structural Mechanics.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Probability Theory and Stochastic Processes.
Random Polymers École d¿Été de Probabilités de Saint-Flour XXXVII ¿ 2007 / [electronic resource] : by Frank Hollander. - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009. - online resource. - Lecture Notes in Mathematics, 1974 0075-8434 ; . - Lecture Notes in Mathematics, 1974 .
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.
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.
9783642003332
10.1007/978-3-642-00333-2 doi
Mathematics.
Distribution (Probability theory).
Mechanical engineering.
Mathematics.
Structural Mechanics.
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Probability Theory and Stochastic Processes.