Interacting Brownian motions in the Kadar-Parisi-Zhang universality class

Interacting Brownian motions in the Kadar-Parisi-Zhang universality class - Herbert Spohn

Herbert Spohn
Technische Universitaet Muenchen; Member, School of Mathematics
November 18, 2013
A widely studied model from statistical physics consists of many (one-dimensional) Brownian motions interacting through a pair potential. The large scale behavior of this model has has been investigated by Varadhan, Yau, and others in the 90's. As a crucial property the model satisfies time-reversibility (alias detailed balance). Once this symmetry is broken, generically one crosses into the KPZ class. Two specific examples will be discussed.