Friday, May 24, 2019 - 14:15 in V3-204
The Widom-Rowlinson model: metastability, mesoscopic and microscopic fluctuations for the critical droplet
A talk in the Kolloquium Mathematische Physik series by
Elena Pulvirenti
| Abstract: |
In this talk I will discuss the Widom-Rowlinson model on a finite two
dimensional torus subject to a stochastic dynamics in which particles are
randomly created and annihilated inside the torus according to an infinite
reservoir with a given chemical potential. We are interested in the metastable
behaviour of the system at low temperature when the chemical potential
is supercritical. In particular, we compute the asymptotics of the average time
the system needs to condensate and we describe the shape of the critical
droplet. Our results rely on a precise analysis of the microscopic and
mesoscopic fluctuations of the surface of the critical droplet. This is a joint work in progress with F. den Hollander, S. Jansen, R. Kotecky.
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