Disorder and Critical Phenomena Through Basic Probability Models

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École dÉté de Probabilités de Saint-Flour XL – 2010, Lecture Notes in Mathematics 2025 – École d’Été de Probabilités de Saint-Flour

ISBN: 3642211550
ISBN 13: 9783642211553
Autor: Giacomin, Giambattista
Verlag: Springer Verlag GmbH
Umfang: xi, 130 S., 12 s/w Illustr., 130 p. 12 illus.
Erscheinungsdatum: 16.07.2011
Auflage: 1/2011
Produktform: Kartoniert
Einband: KT

Understanding the effect of disorder on critical phenomena is a central issue in statistical mechanics. This volume explores this problem by focusing on „pinning models,“ covering recent mathematical works that have essentially put the main predictions of the physics community on firm footing.

Beschreibung

The Islands of the Firth of Clyde are the fifth of the major Scottish island groups after the Inner and Outer Hebrides, Orkney and Shetland. The islands are situated in the Firth of Clyde between Ayrshire and Argyll. There are about forty islands and skerries, of which only six are inhabited. The largest and most populous are Arran and Bute, and Great Cumbrae, Holy Isle and Inchmarnock are also served by dedicated ferry routes. The definition of an island used in this list is that it is ''land that is surrounded by seawater on a daily basis, but not necessarily at all stages of the tide, excluding human devices such as bridges and causeways''. Unlike the four larger Scottish archipelagos, none of the isles in this group are bridged. The geology of the area is complex and the islands each have their own features. The Highland Boundary Fault runs past Bute and through the northern part of Arran, so from a geological perspective some of the islands are in the Highlands and some in the Central Lowlands. In common with the rest of Scotland The Firth of Clyde was covered by ice sheets during the Pleistocene ice ages and the landscape is much affected by glaciation.

Autorenporträt

Inhaltsangabe1 Introduction.- 2 Homogeneous pinning systems: a class of exactly solved models.- 3 Introduction to disordered pinning models.- 4 Irrelevant disorder estimates.- 5 Relevant disorder estimates: the smoothing phenomenon.- 6 Critical point shift: the fractional moment method.- 7 The coarse graining procedure.- 8 Path properties.

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