Researchers: Leonel Perondi, Sir Roger Elliott^{*}, and Kimmo Kaski

^{*}Oxford University, UK

There has been a considerable interest in the development of new techniques for treating microscopic diffusion phenomena in ordered as well as disordered many-particle systems. As is well known many-particle effects may play a key role on the diffusion-related properties of a system. Applications range from ionic conduction in electronic insulators (ionic conductors) to electronic transport in semiconductors.

An isolated particle in contact with a heat reservoir undergoes a
random walk montion (brownian motion), which may be characterized
by a linear relation between the mean square displacement and time.
The linear coefficient gives the free-particle diffusion constant
*D _{0}*.
In an interacting many-particle system, the single-particle (tracer)
diffusion constant is changed to

One of the main objectives of the present project is the study of diffusion in many-particle systems in which the blocking and correlation effects may lead to an anomalous diffusive behaviour.