TY - JOUR
T1 - A correction to the hydrodynamic limit of boundary driven weakly asymmetric exclusion processes in a quasi-static time scale
AU - Chavez, E.
AU - Landim, C.
N1 - Publisher Copyright:
© 2016, Springer Science+Business Media New York.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.
AB - We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] ∩ Z in the quasi-static time scale N2ϵN-1, where 1≪ϵN-1≪N1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order ϵN.
KW - Boundary driven interacting particle systems
KW - First order correction
KW - Hydrodynamic equation
KW - Quasi-static transformations
UR - http://www.scopus.com/inward/record.url?scp=84964091865&partnerID=8YFLogxK
U2 - 10.1007/s10955-016-1514-z
DO - 10.1007/s10955-016-1514-z
M3 - Article in a journal
AN - SCOPUS:84964091865
SN - 0022-4715
VL - 163
SP - 1079
EP - 1107
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 5
ER -