Stat.Phys. seminar

[CM ICTP - Trieste]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR





Tuesday, 9 December    -    12:30 hrs.





Lecture Room 'D' - SISSA Main Building



P. VIVO   ( I.C.T.P. )



" Phase transitions in the quantum conductance problem "



Abstract



Linear statistics on ensembles of random matrices occur frequently in  
many applications. We present a general method to compute probability  
distributions of linear statistics for large matrix size N. This is  
applied to the calculation of conductance and shot noise for  
ballistic scattering in chaotic cavities, in the limit of large  
number of open channels. The method is based on a mapping to a  
Coulomb gas problem in Laplace space, displaying phase transitions as  
the Laplace parameter is varied. As a consequence, the sough  
distribution displays a central Gaussian region flanked on both sides  
by non-Gaussian tails, and weak non-analytical points at the junction  
of the two regimes.