Transition Probabilities and Dynamic Structure Function in the ASEP Conditioned on Strong Flux |
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Authors: | V Popkov G M Schütz |
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Institution: | 1.Dipartimento di Fisica “E.R. Caianiello”, and Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM),Università di Salerno,Fisciano,Italy;2.Interdisziplin?res Zentrum für Komplexe Systeme,Universit?t Bonn,Bonn,Germany;3.Institut für Festk?rperforschung,Forschungszentrum Jülich,Jülich,Germany |
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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. |
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