Prof. Thomas Richthammer
(Univ. Hildesheim)

Title: The variance of particle positions in the hard disk model

When: Martedi' 12 Maggio 2015 ORE 15:00

Where: Dipartimento di Matematica e Fisica
Universita' degli Studi Roma Tre
AULA 311 (SEMINARI) Largo San L. Murialdo,1

Abstract:
The hard disk model describes random configurations of disks in the
plane, interacting only via hard core exclusion. It is believed that
the model exhibits a weak form of crystallization for large activity
(i.e. high particle density). In spite of its simplicity, there are
only very few rigorous results on the hard disk model. I will present
a very recent result which can be interpreted as a lower bound on the
variance of particle positions in terms of the size of the system. The
result is obtained via a certain tansformation on particle
configurations. It builds on an earlier result
 concerning the absence of positional order.