About this book
This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools.
An introductory chapter on lattice spin models is useful as a background for other lectures of the collection.
The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers.
A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed.
A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.
Editors and affiliations
- Book Title Methods of Contemporary Mathematical Statistical Physics
- Series Title Lecture Notes in Mathematics
- Series Abbreviated Title Lect.Notes Mathematics
- DOI https://doi.org/10.1007/978-3-540-92796-9
- Copyright Information Springer-Verlag Berlin Heidelberg 2009
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Softcover ISBN 978-3-540-92795-2
- eBook ISBN 978-3-540-92796-9
- Series ISSN 0075-8434
- Series E-ISSN 1617-9692
- Edition Number 1
- Number of Pages X, 350
- Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
Probability Theory and Stochastic Processes
Theoretical, Mathematical and Computational Physics
Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
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