Téléchargez le livre : Reflected Brownian Motions in the KPZ Universality Class

Reflected Brownian Motions in the KPZ Universality Class

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Springer


Collection :

SpringerBriefs in Mathematical Physics

Paru le : 2016-12-16

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Description
This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1. This model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. In fact, because of the singular interaction, many universal properties can be established with rigor. They depend on the choice of initial conditions. Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. A chapter on determinantal random fields and another one on Airy processes are added to have the notes self-contained. These notes serve as an introduction to the KPZ universality class, illustrating the main concepts by means of a single modelonly. The notes will be of interest to readers from interacting diffusion processes and non-equilibrium statistical mechanics.
Pages
118 pages
Collection
SpringerBriefs in Mathematical Physics
Parution
2016-12-16
Marque
Springer
EAN papier
9783319494982
EAN PDF
9783319494999
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
1823 Ko
Prix
63,29 €
EAN EPUB
9783319494999
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
11
Taille du fichier
2335 Ko
Prix
63,29 €

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