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Coarsening dynamics in a two-species zero-range process
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Grosskinsky, Stefan and Hanney, T.. (2005) Coarsening dynamics in a two-species zero-range process. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.72 (No.1). ISSN 1550-2376
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Official URL: http://dx.doi.org/10.1103/PhysRevE.72.016129
Abstract
We consider a zero-range process with two species of interacting particles. The steady state phase diagram of this model shows a variety of condensate phases in which a single site contains a finite fraction of all the particles in the system. Starting from a homogeneous initial distribution, we study the coarsening dynamics in each of these condensate phases, which is expected to follow a scaling law. Random walk arguments are used to predict the coarsening exponents in each condensate phase. They are shown to depend on the form of the hop rates and on the symmetry of the hopping dynamics. The analytic predictions are found to be in good agreement with the results of Monte Carlo simulations.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Library of Congress Subject Headings (LCSH): | Particles -- Mathematical models, Stochastic systems |
| Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) |
| Publisher: | American Physical Society |
| ISSN: | 1550-2376 |
| Date: | July 2005 |
| Volume: | Vol.72 |
| Number: | No.1 |
| Identification Number: | 10.1103/PhysRevE.72.016129 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
| Grant number: | GR/S10377/01 (EPSRC) |
| References: | [1] M. R. Evans, Braz. J. Phys. 30 (2000) 42 [2] S. Großkinsky, G. M. Sch¨utz and H. Spohn, J. Stat. Phys. 113 (2003) 389 [3] C. Godr`eche, J. Phys. A 36 (2003) 6313 [4] Y. Kafri, E. Levine, D. Mukamel, G. M. Sch¨utz and J. T¨or¨ok, Phys. Rev. Lett. 89, 035702 (2002) [5] M. R. Evans, E. Levine, P. K. Mohanty and D. Mukamel, Eur. Phys. J. B 41 (2004) 223-230 [6] J. D. Noh, G. M. Shim and H. Lee, cond-mat/0409120 [7] A. G. Angel, M. R. Evans and D. Mukamel, J. Stat. Mech.: Theor. Exp. (2004) P04001 [8] O. Pulkkinen, J. Merikoski, cond-mat/0411630 [9] M. R. Evans and T. Hanney, J. Phys. A 36 (2003) L441 [10] T. Hanney and M. R. Evans, Phys. Rev. E 69 (2004) 016107 [11] G. M. Sch¨utz, J. Phys. A 36 (2003) R339 [12] R. Mikkelsen, D. van der Meer, K. van der Weele and D. Lohse, Phys. Rev. Lett. 89 (2002) 214301 [13] S. N. Dorogovtsev, J. F. F. Mendes and A.N. Samukhin, Nucl. Phys. B 666 (2003) 396 [14] S. Großkinsky and H. Spohn, Bull. Braz. Math. Soc 34 (2003) 1 [15] S. Großkinsky, in preparation [16] A. J. Bray, Adv. Phys. 43 (1994) 357 and 51 (2002) 481 (reprint) [17] G. H. Weiss, Aspects and Applications of the Random Walk, North-Holland, Amsterdam (1994) [18] M. Barma and K. Jain., Pramana - J. Phys. 58 (2002) 409 [19] K. Jain and M. Barma, Phys. Rev. Lett. 91 (2003) 135701 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/35908 |
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