Abstract
We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as $n^{-2}$, independent of the density, for the dynamics localized on a cube of size $n^d$. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.
Citation
C. Landim. S. Sethuraman. S. Varadhan. "Spectral gap for zero-range dynamics." Ann. Probab. 24 (4) 1871 - 1902, October 1996. https://doi.org/10.1214/aop/1041903209
Information