Seminar series
Date
Mon, 15 Nov 2010
15:45
15:45
Location
Eagle House
Speaker
Hubert Lacoin
We study a simple heat-bath type dynamic for a simple model of
polymer interacting with an interface. The polymer is a nearest neighbor path
in
Z, and the interaction is modelised by energy penalties/bonuses given when the
path touches 0. This dynamic has been studied by D. Wilson for the case without
interaction, then by Caputo et al. for the more general case. When the
interface
is repulsive, the dynamic slows down due to the appearance of a bottleneck in
the
state space, moreover, the systems exhibits a metastable behavior, and, after
time
rescaling, behaves like a two-state Markov chain.