Geodesic
Order of current variance and diffusivity in the asymmetric simple exclusion process
Márton Balázs 1 ; Timo Seppäläinen 2
1 MTA-BME Stochastics Research Group<br/>Institute of Mathematics Budapest University of Technology and Economics<br/>1 Egry József u., 5th floor 7, Bld. H<br/>1111 Budapest<br/>Hungary
2 Dept. of Mathematics<br/>419 Van Vleck Hall<br/>University of Wisconsin-Madison, Madison WI 53706-1388<br/>United States
Annals of mathematics, Tome 171 (2010) no. 2, pp. 1237-1265.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2010.171.1237

Márton Balázs  1 ; Timo Seppäläinen  2

1 MTA-BME Stochastics Research Group<br/>Institute of Mathematics Budapest University of Technology and Economics<br/>1 Egry József u., 5th floor 7, Bld. H<br/>1111 Budapest<br/>Hungary
2 Dept. of Mathematics<br/>419 Van Vleck Hall<br/>University of Wisconsin-Madison, Madison WI 53706-1388<br/>United States 
@article{10_4007_annals_2010_171_1237,
     author = {M\'arton Bal\'azs  and Timo Sepp\"al\"ainen },
     title = {Order of current variance and diffusivity in the asymmetric simple exclusion process},
     journal = {Annals of mathematics},
     pages = {1237--1265},
     publisher = {mathdoc},
     volume = {171},
     number = {2},
     year = {2010},
     doi = {10.4007/annals.2010.171.1237},
     mrnumber = {2630064},
     zbl = {1200.60083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1237/}
}
TY  - JOUR
AU  - Márton Balázs 
AU  - Timo Seppäläinen 
TI  - Order of current variance and diffusivity in the asymmetric simple exclusion process
JO  - Annals of mathematics
PY  - 2010
SP  - 1237
EP  - 1265
VL  - 171
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1237/
DO  - 10.4007/annals.2010.171.1237
LA  - en
ID  - 10_4007_annals_2010_171_1237
ER  - 
%0 Journal Article
%A Márton Balázs 
%A Timo Seppäläinen 
%T Order of current variance and diffusivity in the asymmetric simple exclusion process
%J Annals of mathematics
%D 2010
%P 1237-1265
%V 171
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1237/
%R 10.4007/annals.2010.171.1237
%G en
%F 10_4007_annals_2010_171_1237
Márton Balázs ; Timo Seppäläinen . Order of current variance and diffusivity in the asymmetric simple exclusion process. Annals of mathematics, Tome 171 (2010) no. 2, pp. 1237-1265. doi : 10.4007/annals.2010.171.1237. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1237/

Cité par Sources :