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020 _a9783642003332
_9978-3-642-00333-2
024 7 _a10.1007/978-3-642-00333-2
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
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082 0 4 _a519.2
_223
100 1 _aHollander, Frank.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aRandom Polymers
_h[electronic resource] :
_bÉcole d¿Été de Probabilités de Saint-Flour XXXVII ¿ 2007 /
_cby Frank Hollander.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXIV, 266 p. 84 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v1974
505 0 _aPolymers 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.
520 _aPolymer 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.
650 0 _aDistribution (Probability theory.
650 0 _aStatistics.
650 0 _aMechanics.
650 0 _aMechanics, Applied.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/S17020
650 2 4 _aSolid Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/T15010
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642003349
776 0 8 _iPrinted edition:
_z9783642003325
830 0 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v1974
856 4 0 _uhttps://doi.org/10.1007/978-3-642-00333-2
912 _aZDB-2-SMA
912 _aZDB-2-LNM
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