McGill.CA / Science / Department of Physics

CPM Seminar

Exact results for diffusion-limited coalescense, A+A <-> A

Daniel ben-Avraham

Physics Department
Clarkson University

Kinetics of diffusion-limited reaction processes are less well understood than that of their reaction-limited counterpart. While the latter type of reactions may be analyzed exactly through classical rate equations, there exist only few exactly solvable models of diffusion-limited processes.

One such model is that of diffusion-limited coalescence, A+A-->A, on the line. The model is surprisingly rich in its range of behaviors, including examples of self-organization in a nonequilibrium process, anomalous kinetics, Fisher waves, and dynamical phase transitions. The model and its consequences will be reviewed, and new findings will be described, including a *complete* exact solution (to the level of n-point correlation functions) for certain non-trivial situations, and promissing open problems.

Thursday, October 29th 1998, 15:30
Ernest Rutherford Physics Building, room 114