Ori Hirschberg, Weizmann Institute of Science
The Santa Fe Institute (SFI) holds seminar “Real-Space Condensation in Mass Transport Models: Statics, Dynamics, and Large Deviations” at 3:30 p.m., Tuesday Dec. 8, at Collins Conference Room in Santa Fe.
Abstract: The formation of traffic jams on highways, the clustering of particles in shaken granular gases, and the emergence of macroscopically-linked hubs in complex networks are all examples of real-space condensation.
This phase transition, in which a finite fraction of the “mass” in a macroscopic system is concentrated in a microscopic fraction of its volume, is rather ubiquitous in nonequilibrium systems.
In this talk, I shall present some of the insights into these phenomena garnered from the study of prototypical toy models.
After reviewing static properties of the condensation transition, I shall focus on two unexpected features recently discovered:
(1) Spatial correlations, which generically exist in driven systems, may give rise to a collective motion of the condensate through the system. The mechanism behind this motion is explained using simplified models, and shown to be rather generic.
(2) When the current flowing through a system is conditioned to have highly atypical values, condensates may form in systems that otherwise do not condense. I will present microscopic and macroscopic approaches to analyze this novel scenario of condensation.
SFI Host: Cris Moore