[ABE-L] Próximo seminário de probabilidade - 20 de setembro (alteração de título e resumo)

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *September 20, * from *3
p.m. to 4 p.m*. (Rio de Janeiro local time)

The Zoom link for the seminar is

https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09


Speaker:  *Davide Gabrielli (Università dell'Aquila)*

Title:  *Hydrodynamic limit of an exclusion process with vorticity*

Abstract:   We construct an exclusion process with Bernoulli product
invariant measure and having, in the diffusive hydrodynamic scaling, a non
symmetric diffusion matrix, that can be explicitly computed. The
antisymmetric part does not affect the evolution of the density but it is
relevant for the evolution of the current. In particular because of that,
the Fick's law is violated in the diffusive limit. Switching on a weak
external field we obtain a symmetric mobility matrix that is related just
to the symmetric part of the diffusion matrix by the Einstein relation. We
show that this fact is typical within a class of generalized gradient
models. We consider for simplicity the model in dimension $d=2$, but a
similar behavior can be also obtained in higher dimensions.

Joint work with L. De Carlo and P. Goncalves



All the talks are held in English.

The videos of the online seminars are available:

2020 -  http://www.dme.ufrj.br/?page_id=2885

2021-1  - http://www.dme.ufrj.br/?page_id=3027

For the second semester, a few days after each meeting the video should be
available at http://www.dme.ufrj.br/?page_id=3178

Thanks for circulating this information.

Sincerely,
Organizers: Guilherme Ost and Maria Eulalia Vares

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