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000282935 1001_ $$0P:(DE-HGF)0$$aHirschberg, O.$$b0
000282935 245__ $$aDensity profiles, dynamics, and condensation in the ZRP conditioned on an atypical current
000282935 260__ $$a[S.l.]$$bColegio de Postgraduados$$c2015
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000282935 520__ $$aWe 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.
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000282935 7001_ $$0P:(DE-HGF)0$$aMukamel, D.$$b1
000282935 7001_ $$0P:(DE-Juel1)130966$$aSchütz, Gunter M.$$b2$$eCorresponding author
000282935 773__ $$0PERI:(DE-600)2179196-X$$a10.1088/1742-5468/2015/11/P11023$$gVol. 2015, no. 11, p. P11023 -$$n11$$pP11023 -$$tJournal of statistical mechanics: theory and experiment$$v2015$$x1405-3195$$y2015
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