Lectures on random polymers. (English) Zbl 1317.82001
Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 319-393 (2012).
Summary: These lecture notes are a guided tour through the fascinating world of polymer chains interacting with themselves and/or with their environment. The focus is on the mathematical description of a number of physical and chemical phenomena, with particular emphasis on phase transitions and space-time scaling. The topics covered, though only a selection, are typical for the area. Sections 1-3 describe models of polymers without disorder, Sections 4-6 models of polymers with disorder. Appendices A-E contain tutorials in which a number of key techniques are explained in more detail.
For the entire collection see [Zbl 1254.60006].
For the entire collection see [Zbl 1254.60006].
MSC:
82-02 | Research exposition (monographs, survey articles) pertaining to statistical mechanics |
60-02 | Research exposition (monographs, survey articles) pertaining to probability theory |
82D60 | Statistical mechanics of polymers |
60K37 | Processes in random environments |
60F10 | Large deviations |
82B26 | Phase transitions (general) in equilibrium statistical mechanics |
82B27 | Critical phenomena in equilibrium statistical mechanics |
82B44 | Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics |
92D20 | Protein sequences, DNA sequences |