Seminar series
Date
Mon, 18 Oct 2010
15:45
15:45
Location
Eagle House
Speaker
Nadia Sidorova
We consider a dilute stationary system of N particles uniformly distributed in space and interacting pairwise according to a compactly supported potential, which is repellent at short distances and attractive at moderate distances. We are interested in the large-N behaviour of the system. We show that at a certain scale there are phase transitions in the temperature parameter and describe the energy and ground states explicitly in terms of a variational problem