Order of current variance and diffusivity in the asymmetric simple exclusion process


We prove that the variance of the current across a characteristic is of order $t^{2/3}$ in a stationary asymmetric simple exclusion process, and that the diffusivity has order $t^{1/3}$. The proof proceeds via couplings to show the corresponding moment bounds for a second class particle.


Márton Balázs

MTA-BME Stochastics Research Group
Institute of Mathematics Budapest University of Technology and Economics
1 Egry József u., 5th floor 7, Bld. H
1111 Budapest

Timo Seppäläinen

Dept. of Mathematics
419 Van Vleck Hall
University of Wisconsin-Madison, Madison WI 53706-1388
United States