[ABE-L] Próximo seminário (online) de probabilidade - IM-UFRJ - 30/08

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *August 30 * 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:  *Elena Pulvirenti (Delft University of Technology)*

Title: *The Widom-Rowlinson model: metastability, mesoscopic and
microscopic fluctuations for the critical droplet*

Abstract:   We introduce the equilibrium Widom-Rowlinson model on a
two-dimensional finite torus in which the energy of a particle
configuration is attractive and determined by the union of small discs
centered at the positions of the particles. We then discuss the metastable
behaviour of a dynamic version of the WR model. This means that the
particle configuration is viewed as a continuous time Markov process where
particles are randomly created and annihilated as if the outside of the
torus were an infinite reservoir with a given chemical potential. In
particular, we start with the empty torus and are interested in the first
time when the torus is fully covered by discs in the regime at low
temperature and when the chemical potential is supercritical. In order to
achieve the transition from empty to full, the system needs to create a
sufficiently large droplet, called critical droplet, which triggers the
crossover. We compute the distribution of the crossover time and identify
the size and the shape of the critical droplet. The analysis relies on a
mesoscopic and microscopic description of the surface of the critical
droplet. It turns out that the critical droplet is close to a disc of a
certain deterministic radius, with a boundary that is random and consists
of a large number of small discs that stick out by a small distance. We
will show how the analysis of surface fluctuations in the WR model allows
us to derive the leading order term of the condensation time and also the
correction order term. This is a joint work with Frank den Hollander
(Leiden), Sabine Jansen (Munich) and Roman Kotecky (Prague & Warwick).



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





<https://www.avast.com/sig-email?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=webmail>
Livre
de vírus. www.avast.com
<https://www.avast.com/sig-email?utm_medium=email&utm_source=link&utm_campaign=sig-email&utm_content=webmail>.
<#m_3829799630822143927_DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2>
-------------- Próxima Parte ----------
Um anexo em HTML foi limpo...
URL: <http://lists.ime.usp.br/pipermail/abe/attachments/20210824/774e19a0/attachment.htm>