Roman Kotecky – University of Warwick
Wednesday, February 26th , 10:45AM EST
Surface tension for the Widom-Rowlinson model in continuum
The Widom-Rowlinson model of interacting particles in continuum is one of few cases where phase transition on the 'liquid/gas' coexistence line is rigorously understood.
I will discuss how ‘liquid’ surface layer fluctuations lead to a derivation of low temperature asymptotics of the surface tension with an entropic term featuring a fractional power of the temperature.
The analysis relies on a careful examination of the surface tension limit and its expression in terms of the spectral radius of an appropriately chosen transfer operator.
The topic is a vital ingredient in a series of papers under preparation, jointly with Frank den Hollander, Sabine Jansen, and Elena Pulvirenti, devoted to metastability for Widom-Rowlinson model.