Event Archive
Seminars given by Herbert Spohn and Pedro Garrido
Thursday, September 14, 2017 at 12:00pm - 02:00pm
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MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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Herbert Spohn - Technical University Munich/ Columbia University
Date/Time/Location
Thursday, September 14; 12:00pm; Hill 705
Title
"Hydrodynamics of integrable quantum systems"
Abstract
Recently considerable progress has been achieved on the Euler type hydrodynamics for integrable quantum systems, such as the Lieb-Liniger model and the XXZ chain. We discuss some of these results using the one-dimensial system of hard rods as a classical blue print.
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Pedro Garrido - University of Granada
Date/Time/Location
Thursday, September 14; 2:00pm; Hill 705
Title
"Fluctuations and large deviations in systems at nonequilibrium stationary states"
Abstract
In many nonequilibrium systems, the averaged values of local observables in a stationary state are dominated by the local equilibrium behavior and it is very difficult to observe deviations from it in numerical experiments. However, fluctuations of global magnitude capture the existence of corrections beyond local equilibrium. In particular, we show some numerical results about the energy fluctuation in a two dimensional hard disk system in contact with reservoirs at different temperatures and subjected to an external applied force. In addition we use the Onsager-Machlup theory to study fluctuations in the heat current of these systems. First we show that the current minimizers of the associated Langrangian should have spatial structure in contrast to the common belief. We apply this result to the study of the heat flow in the d=2 KMP model and the WASEP (driven diffusive system). We extract some novel properties in both cases: from quasi universal conditional temperature profiles in the first case to dynamic phase transitions in the space of trajectories in the second one.
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