TY - JOUR
T1 - Limiting Current Distribution for a Two Species Asymmetric Exclusion Process
AU - Chen, Zeying
AU - de Gier, Jan
AU - Hiki, Iori
AU - Sasamoto, Tomohiro
AU - Usui, Masato
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/10
Y1 - 2022/10
N2 - We study current fluctuations of a two-species totally asymmetric exclusion process, known as the Arndt–Heinzel–Rittenberg model. For a step-Bernoulli initial condition with finite number of particles, we provide an explicit multiple integral expression for a certain joint current probability distribution. By performing an asymptotic analysis we prove that the joint current distribution is given by a product of a Gaussian and a GUE Tracy–Widom distribution in the long time limit, as predicted by non-linear fluctuating hydrodynamics.
AB - We study current fluctuations of a two-species totally asymmetric exclusion process, known as the Arndt–Heinzel–Rittenberg model. For a step-Bernoulli initial condition with finite number of particles, we provide an explicit multiple integral expression for a certain joint current probability distribution. By performing an asymptotic analysis we prove that the joint current distribution is given by a product of a Gaussian and a GUE Tracy–Widom distribution in the long time limit, as predicted by non-linear fluctuating hydrodynamics.
UR - http://www.scopus.com/inward/record.url?scp=85137450359&partnerID=8YFLogxK
U2 - 10.1007/s00220-022-04408-8
DO - 10.1007/s00220-022-04408-8
M3 - Article
AN - SCOPUS:85137450359
SN - 0010-3616
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
ER -