# Joint DIMACS, Math/physics Seminar

## Title:

The Asymmetric Exclusion Process on a Lattice

## Speaker:

- B.Derrida
- Laboratoire de Physique Statistique

## Place:

- Hill Center, Room 705,
- Busch Campus, Rutgers University.

## Time:

- 1:30 PM
- Thursday, November 7, 1996

Abstract:
A series of exact results have been obtained recently for the
one dimensional asymmetric exclusion model, a model of
particles which hop to their right at random times, on a one dimensional
lattice, provided that the site they jump to is empty.
The steady state properties can be calculated exactly using a matrix
formulation. It consists in writing the steady state weights of a system
of $N$ sites
as the matrix element of a product of $N$ matrices: in this product, each
matrix can take
two possible forms $D$ or $E$ depending on whether the corresponding site is
occupied or empty.

Several extensions of the model have been solved exactly using
this matrix method, allowing the calculation of the diffusion
constant of a tagged particle, of the profile of a shock
and of the steady state properties of systems with two species of particles.

Document last modified on September 23, 1996