
Methods of Contemporary Mathematical Statistical Physics
Marek BiskupAnton BovierFrank Den HollanderDima IoffeFabio MartinelliKarel NetocnýChristina Toninelli(Author)
Roman Kotecký(Editor)
Springer (Publisher)
Published on 27. March 2009
Book
Paperback/Softback
X, 350 pages
978-3-540-92795-2 (ISBN)
Description
The Lecture Notes collect seven mini-courses presented at the 5th Prague Summer School on Mathematical Statistical Physics that took placeduringtwoweeksofSeptember2006.Aswithprecedingschools,it was aimed at PhD students and young postdocs. The central theme of the volume is what could be called "mathematics of phase transitions" in diverse contexts. Even though all courses were meant to introduce the reader to recent progress of a particular topic of modern statis- cal physics, attention has been paid to providing a solid grounding by carefully developing various basic tools. One of the techniques that led, more than two decades ago, to a seriesofimportantoutcomesinthetheoryofphasetransitionsoflattice models was re?ection positivity. Recently it resurfaced and was used to obtain interesting new results in various settings. The lectures of Marek Biskup include a thorough introduction to re?ection positivity as well as a review of its recent applications. In addition, it contains a crash course on lattice spin models that is useful as a background for other lectures of the collection. Also the following two contributions concern equilibrium statistical physics.ThelecturesofDmitriIo?earedevotedtoastochasticgeom- ricreformulationofclassicalaswellasquantumIsingmodels.
Auni?ed approachtotheFortuin-Kasteleynandrandomcurrentrepresentations in terms of path integrals is presented. Statistical mechanics of directed polymers interacting with o- dimensionalspatiale?ectsisatopicwithvariousapplicationsinphysics and biophysics. The lectures of Fabio Toninelli are devoted to a th- ough discussion of the localization/delocalization transition in these models.
Auni?ed approachtotheFortuin-Kasteleynandrandomcurrentrepresentations in terms of path integrals is presented. Statistical mechanics of directed polymers interacting with o- dimensionalspatiale?ectsisatopicwithvariousapplicationsinphysics and biophysics. The lectures of Fabio Toninelli are devoted to a th- ough discussion of the localization/delocalization transition in these models.
More details
Series
Edition
2009 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 350 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
546 gr
ISBN-13
978-3-540-92795-2 (9783540927952)
DOI
10.1007/978-3-540-92796-9
Schweitzer Classification
Other editions
Additional editions

Marek Biskup | Anton Bovier | Frank Den Hollander
Methods of Contemporary Mathematical Statistical Physics
E-Book
07/2009
Springer
€53.49
Available for download
Content
Reflection Positivity and Phase Transitions in Lattice Spin Models.- Stochastic Geometry of Classical and Quantum Ising Models.- Localization Transition in Disordered Pinning Models.- Metastability.- Three Lectures on Metastability Under Stochastic Dynamics.- A Selection of Nonequilibrium Issues.- Facilitated Spin Models: Recent and New Results.