This title appears in the Scientific Report :
2011
Please use the identifier:
http://dx.doi.org/10.1007/s10955-011-0137-7 in citations.
Transition probabilities and dynamic structure factor in the ASEP conditioned on strong flux
Transition probabilities and dynamic structure factor in the ASEP conditioned on strong flux
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...
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Personal Name(s): | Popkov, V. |
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Schütz, G. M. | |
Contributing Institute: |
Theorie der Weichen Materie und Biophysik; ICS-2 |
Published in: | Journal of statistical physics, 142 (2011) S. 627 - 639 |
Imprint: |
New York, NY [u.a.]
Springer Science + Business Media B.V.
2011
|
Physical Description: |
627 - 639 |
DOI: |
10.1007/s10955-011-0137-7 |
Document Type: |
Journal Article |
Research Program: |
BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung |
Series Title: |
Journal of Statistical Physics
142 |
Subject (ZB): | |
Publikationsportal JuSER |
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. |