This title appears in the Scientific Report :
2011
Please use the identifier:
http://dx.doi.org/10.1007/s10955-011-0133-y in citations.
Generalized Green Functions and current correlations in the TASEP
Generalized Green Functions and current correlations in the TASEP
We study correlation functions of the totally asymmetric simple exclusion process (TASEP) in discrete time with backward sequential update. We prove a determinantal formula for the generalized Green function which describes transitions between positions of particles at different individual time mome...
| Personal Name(s): | Povolotsky, A.M. |
|---|---|
| Priezzhev, V.B. / Schütz, G. M. | |
| Contributing Institute: |
Theorie der Weichen Materie und Biophysik; ICS-2 |
| Published in: | Journal of statistical physics, 142 (2011) S. 754 - 791 |
| Imprint: |
New York, NY [u.a.]
Springer Science + Business Media B.V.
2011
|
| Physical Description: |
754 - 791 |
| DOI: |
10.1007/s10955-011-0133-y |
| Document Type: |
Journal Article |
| Research Program: |
BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung |
| Series Title: |
Journal of Statistical Physics
142 |
| Subject (ZB): | |
| Publikationsportal JuSER |
|
We study correlation functions of the totally asymmetric simple exclusion process (TASEP) in discrete time with backward sequential update. We prove a determinantal formula for the generalized Green function which describes transitions between positions of particles at different individual time moments. In particular, the generalized Green function defines a probability measure at staircase lines on the space-time plane. The marginals of this measure are the TASEP correlation functions in the space-time region not covered by the standard Green function approach. As an example, we calculate the current correlation function that is the joint probability distribution of times taken by selected particles to travel given distance. An asymptotic analysis shows that current fluctuations converge to the Airy(2) process. |