Low temperature asymptotics of Lennard-Jones systems in 1d
1 : Warwick Mathematics Institute
(WMI)
-
Website
Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom -
United Kingdom
We study the asymptotic behaviour the equilibrium distribution of N Lennard Jones particles at finite temperature. It is expected that for d>1 and small temperature the distribution develops crystalline order as N tends to infinity in the sense that the most probable configurations are slightly deformed crystalline lattices.
I will show that for d=1 the distribution is supported at configurations which are are unions of disconnected clusters. The size of the clusters is independent of N and exponentially large with the inverse temperature.
| Subject : | : | oral |
| Topics | : | Statistical mechanics and computation of large deviation rate functions |
| PDF version | : |  PDF version |
