For distribution

[CM ICTP - Trieste]

CONDENSED MATTER SECTION

	
SEMINAR on   Disorder and strong electron correlations


Thursday, 13 March   -    11:00 a.m.



Seminar Room,  Main Bldg.- first floor


Y. FYODOROV   ( University of Nottingham )

"On statistical mechanics of a single particle in random landscapes"



Abstract

I am going to discuss recent results of the replica approach to 
statistical mechanics of a single classical particle placed in a random 
N>>1-dimensional Gaussian landscape.  The particular attention will be 
paid to the case of landscapes with logarithmically growing 
correlations and to its recent generalizations.  Those landscapes give 
rise to a rich multifractal spatial structure of the associated 
Boltzmann-Gibbs measure.  If time allows, I will also briefly discuss a 
one-dimensional variant of the model which can be analyzed by a mapping 
to the Dyson's Coulomb gas.  In particular, in the latter case we 
conjecture the explicit form of the distribution of the lowest minimum 
in such a potential.