PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker, Anna Mazzucato, Mari Royer, Victor Nistor, Alexei Novikov.

Title:The Widom--Rowlinson model and the phenomenon of allelopathy
Seminar:Probability and Financial Mathematics Seminar
Speaker:Yuri Suhov, Penn State/University of Cambridge, UK
The Widom--Rowlinson (WR) model was proposed in early 1970s in Chemical Physics, to explain various phenomena at the molecular level. There are several types of particles which repel one another when they belong to different types and have no influence upon each other if they belong to the same type (these assumptions can be made more general). This resembles an allelopathic phenomenon observed in biology where a given species prevents other species from occupying the space nearby by using a variety of means (poisoning soil or water, encouraging parasites harmful to other species but harmless to themselves, etc.). There is also a quantum version of the model. The WR model became popular in various disciplines. An interesting question is about phase transitions: if the overall particle density is low, there is one equilibrium (Gibbs) distribution resembling Poisson. However, if the density is high, there may be one or several distributions where a particular type will dominate (occupy an overwhelming proportion of the space). This is determined by the collection of hard-core repulsion diameters. The talk will focus on new results on this question and emerging applications.

Room Reservation Information

Room Number:MB106
Date:09 / 26 / 2014
Time:03:35pm - 04:35pm