Title: Disordered Quantum Wires: Microscopic origins of the DMPK theory

Abstract: We study the electronic transport properties of the Anderson 
model on a
strip, modeling a quasi one-dimensional disordered quantum wire.
For the tranfer matrices of the wire, we derive a stochastic 
differential equation,
thus relating the random matrix theory of quantum transport to a 
microscopic model.
The conductance of the wire is determined by the singular values of the 
transfer matrix, which solve the DMPK equation, an SDE with singular 
repulsion coefficients.
After verifying the existence of a unique strong solution to this 
equation, we are able to proof Ohm's law in the thick-wire limit.

This talk presents joint work with Sven Bachmann and Wojciech De Roeck.