Abstract
We study the slow decay of the steady-state autocorrelation function in a stochastic model of deposition and evaporation of trimers on a line with infinitely many conservation laws and sectors. Simulations show that decays as different powers of , or as , depending on the sector. We explain this diversity by relating the problem to diffusion of hard core particles with conserved spin labels. The model embodies a matrix generalization of the Kardar-Parisi-Zhang model of interface roughening. In the sector which includes the empty line, the dynamical exponent is 2.55 ± 0.15.
- Received 12 April 1994
DOI:https://doi.org/10.1103/PhysRevLett.73.2135
©1994 American Physical Society