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Mathematical Physics Seminar

Steady States in the non local Luttinger Model

Location:  Hill 705
Date & time: Thursday, 20 October 2016 at 12:00PM - 12:11PM

Vieri Mastropietro , University of Milan: We study transport in a one-dimensional system of interacting fermions described by the Luttinger model with finite range interactions, with a domain wall initial state with different densities or temperatures on its left and right sides. Asymptotically in time the system approaches a translation invariant steady state carrying a non vanishing current showing universality properties. The non-locality of interaction, acting as an ultraviolet cut-off, breaks Lorentz and scale invariance and leads to dispersive effects manifested by the shape of the fronts changing with time.

Based on joint work with E.Langmann, J.Lebowitz, P. Moosavi


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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
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