Journal of Statistical Physics

, Volume 142, Issue 3, pp 627–639

Transition Probabilities and Dynamic Structure Function in the ASEP Conditioned on Strong Flux

Article

Abstract

We consider the asymmetric simple exclusion processes (ASEP) on a ring constrained to produce an atypically large flux, or an extreme activity. Using quantum free fermion techniques we find the time-dependent conditional transition probabilities and the exact dynamical structure function under such conditioned dynamics. In the thermodynamic limit we obtain the explicit scaling form. This gives a direct proof that the dynamical exponent in the extreme current regime is z=1 rather than the KPZ exponent z=3/2 which characterizes the ASEP in the regime of typical currents. Some of our results extend to the activity in the partially asymmetric simple exclusion process, including the symmetric case.

Keywords

Exclusion processes Integrable spin chains Exact results Conditional probabilities Dynamic structure function Long-range interactions Large deviations in nonequilibrium systems 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dipartimento di Fisica “E.R. Caianiello”, and Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM)Università di SalernoFiscianoItaly
  2. 2.Interdisziplinäres Zentrum für Komplexe SystemeUniversität BonnBonnGermany
  3. 3.Institut für FestkörperforschungForschungszentrum JülichJülichGermany

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