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@ARTICLE{Hirschberg:282935,
      author       = {Hirschberg, O. and Mukamel, D. and Schütz, Gunter M.},
      title        = {{D}ensity profiles, dynamics, and condensation in the {ZRP}
                      conditioned on an atypical current},
      journal      = {Journal of statistical mechanics: theory and experiment},
      volume       = {2015},
      number       = {11},
      issn         = {1405-3195},
      address      = {[S.l.]},
      publisher    = {Colegio de Postgraduados},
      reportid     = {FZJ-2016-01667},
      pages        = {P11023 -},
      year         = {2015},
      abstract     = {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.},
      cin          = {IAS-2 / ICS-2},
      ddc          = {630},
      cid          = {I:(DE-Juel1)IAS-2-20090406 / I:(DE-Juel1)ICS-2-20110106},
      pnm          = {551 - Functional Macromolecules and Complexes (POF3-551)},
      pid          = {G:(DE-HGF)POF3-551},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000366681400024},
      doi          = {10.1088/1742-5468/2015/11/P11023},
      url          = {https://juser.fz-juelich.de/record/282935},
}