TY - JOUR
T1 - Glauber-Exclusion dynamics
T2 - rapid mixing regime*
AU - Tanaka, Ryokichi
AU - Tsunoda, Kenkichi
N1 - Funding Information:
*R.T. is supported by JSPS Grant-in-Aid for Scientific Research (C) Grant Number JP20K03602 and JST, ACT-X Grant Number JPMJAX190J, Japan. K.T. is supported by JSPS Grant-in-Aid for Early-Career Scientists Grant Number 18K13426 and 22K13929. †Department of Mathematics, Kyoto University, Kyoto 606-8502 JAPAN. E-mail: rtanaka@math.kyoto-u.ac.jp ‡Faculty of Mathematics, Kyushu University, Fukuoka 819-0395, JAPAN. E-mail: tsunoda@math.kyushu-u.ac.jp
Publisher Copyright:
© 2022, Institute of Mathematical Statistics. All rights reserved.
PY - 2022
Y1 - 2022
N2 - We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size N with periodic boundary condition, if the corresponding hydrodynamic limit equation has a reaction term with a strictly convex potential, then the total-variation mixing time is of order O(log N). In particular, the result covers the full high-temperature regime in the original model introduced by De Masi, Ferrari and Lebowitz (1985).
AB - We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size N with periodic boundary condition, if the corresponding hydrodynamic limit equation has a reaction term with a strictly convex potential, then the total-variation mixing time is of order O(log N). In particular, the result covers the full high-temperature regime in the original model introduced by De Masi, Ferrari and Lebowitz (1985).
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U2 - 10.1214/22-EJP865
DO - 10.1214/22-EJP865
M3 - Article
AN - SCOPUS:85139987111
SN - 1083-6489
VL - 27
JO - Electronic Journal of Probability
JF - Electronic Journal of Probability
M1 - 141
ER -