TY  - JOUR
A1  - Teomy, Eial
A1  - Metzler, Ralf
T1  - Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
JF  - Journal of physics : A, Mathematical and theoretical
N2  - We study a lattice gas of persistent walkers, in which each site is occupied by at most one particle and the direction each particle attempts to move to depends on its last step. We analyse the mean squared displacement (MSD) of the particles as a function of the particle density and their persistence (the tendency to continue moving in the same direction). For positive persistence the MSD behaves as expected: it increases with the persistence and decreases with the density. However, for strong anti-persistence we find two different regimes, in which the dependence of the MSD on the density is non-monotonic. For very strong anti-persistence there is an optimal density at which the MSD reaches a maximum. In an intermediate regime, the MSD as a function of the density exhibits both a minimum and a maximum, a phenomenon which has not been observed before. We derive a mean-field theory which qualitatively explains this behaviour.
KW  - exclusion process
KW  - persistence
KW  - lattice gas
Y1  - 2019
U6  - https://doi.org/10.1088/1751-8121/ab37e4
SN  - 1751-8113
SN  - 1751-8121
VL  - 52
IS  - 38
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -