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Quantum Thermodynamics

Transition probabilities and dynamic structure factor in the ASEP conditioned on strong flux

arXiv
Authors: V. Popkov, G. M. Schütz

Year

2010

Paper ID

10378

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

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 factor 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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  • We consider the asymmetric simple exclusion processes (ASEP) on a ring constrained to produce an atypically large flux, or an extreme activity.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1011.3913 [2] arXiv https://arxiv.org/abs/1011.3913 [3] Publisher https://arxiv.org/abs/1011.3913

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