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research article
A driven tagged particle in asymmetric exclusion processes
January 1, 2022
We consider the asymmetric exclusion process with a driven tagged particle on Z which has different jump rates from other particles. When the non-tagged particles have non-nearest-neighbor jump rates , we show that the tagged particle can have a speed which has a different sign from the mean derived from its jump rates. We also show the existence of some non-trivial invariant measures for the environment process viewed from the tagged particle. Our arguments are based on coupling, martingale methods, and analyzing currents through fixed bonds.
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Name
22-EJP760.pdf
Type
Publisher's version
Access type
openaccess
License Condition
CC BY
Size
457.68 KB
Format
Adobe PDF
Checksum (MD5)
1369e0958c430924ac5898fe33a3550b