Statistics of layered zigzags: a two-dimensional generalization of TASEP
In: Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, 44, pp.012002; (2011)
Online
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Zugriff:
A novel discrete growth model in 2+1 dimensions is presented in three equivalent formulations: i) directed motion of zigzags on a cylinder, ii) interacting interlaced TASEP layers, and iii) growing heap over 2D substrate with a restricted minimal local height gradient. We demonstrate that the coarse-grained behavior of this model is described by the two-dimensional Kardar-Parisi-Zhang equation. The coefficients of different terms in this hydrodynamic equation can be derived from the steady state flow-density curve, the so called `fundamental' diagram. A conjecture concerning the analytical form of this flow-density curve is presented and is verified numerically.
Comment: 5 pages, 4 figures
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Statistics of layered zigzags: a two-dimensional generalization of TASEP
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| Autor/in / Beteiligte Person: | Nechaev, Sergei ; Tamm, Mikhail V. ; Majumdar, Satya N. ; Department, Physics ; Moscow State University ; Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS) ; Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11) ; P. N. Lebedev Physical Institute of the Russian Academy of Sciences [Moscow] (LPI RAS) ; Russian Academy of Sciences [Moscow] (RAS) |
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| Quelle: | Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, 44, pp.012002; (2011) |
| Veröffentlichung: | HAL CCSD, 2011 |
| Medientyp: | unknown |
| ISSN: | 1751-8113 (print) ; 1751-8121 (print) |
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