TY  - JOUR
AU  - Hirschberg, O.
AU  - Mukamel, D.
AU  - Schütz, Gunter M.
TI  - Density profiles, dynamics, and condensation in the ZRP conditioned on an atypical current
JO  - Journal of statistical mechanics: theory and experiment
VL  - 2015
IS  - 11
SN  - 1405-3195
CY  - [S.l.]
PB  - Colegio de Postgraduados
M1  - FZJ-2016-01667
SP  - P11023 -
PY  - 2015
AB  - We study the asymmetric zero-range process (ZRP) with L sites and open boundaries, conditioned to carry an atypical current. Using a generalized Doob h-transform we compute explicitly the transition rates of an effective process for which the conditioned dynamics are typical. This effective process is a zero-range process with renormalized hopping rates, which are space dependent even when the original rates are constant. This leads to non-trivial density profiles in the steady state of the conditioned dynamics, and, under generic conditions on the jump rates of the unconditioned ZRP, to an intriguing supercritical bulk region where condensates can grow. These results provide a microscopic perspective on macroscopic fluctuation theory (MFT) for the weakly asymmetric case: it turns out that the predictions of MFT remain valid in the non-rigorous limit of finite asymmetry. In addition, the microscopic results yield the correct scaling factor for the asymmetry that MFT cannot predict.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000366681400024
DO  - DOI:10.1088/1742-5468/2015/11/P11023
UR  - https://juser.fz-juelich.de/record/282935
ER  -