We prove that the one-dimensional symmetric zero range dynamics, starting either with a periodic configuration or with a stationary exponential mixing probability distribution, converges to equilibrium faster than log t divided by square root of t.
Publié le : 1997-11-01
Classification:
symmetric zero range process,
convergence rate,
MCS : 60K35 ; 82C22,
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00273390,
author = {Galves, Antonio and Guiol, Herv\'e},
title = {Relaxation time to equilibrium of the one-dimensional symmetric zero range process with constant rate},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00273390}
}
Galves, Antonio; Guiol, Hervé. Relaxation time to equilibrium of the one-dimensional symmetric zero range process with constant rate. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00273390/