Borodin, Alexei and Ferrari, Patrik L. (2009) Anisotropic KPZ growth in 2 + 1 dimensions : fluctuations and covariance structure. Journal of Statistical Mechanics: Theory and Experiment, 2009 (2). Art. No. P02009. ISSN 1742-5468. doi:10.1088/1742-5468/2009/02/P02009. https://resolver.caltech.edu/CaltechAUTHORS:20090424-101448984
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Abstract
In Borodin and Ferrari (2008 arXiv:0804.3035) we studied an interacting particle system which can be also interpreted as a stochastic growth model. This model belongs to the anisotropic KPZ class in 2+1 dimensions. In this paper we present the results that are relevant from the perspective of stochastic growth models, in particular: (a) the surface fluctuations are asymptotically Gaussian on a √(ln t) scale and (b) the correlation structure of the surface is asymptotically given by the massless field.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2009 IOP Publishing Ltd. Received 5 November 2008; accepted for publication 30 November 2008; published 3 February 2009. | |||||||||
| Subject Keywords: | rigorous results in statistical mechanics; interfaces in random media (theory) | |||||||||
| Issue or Number: | 2 | |||||||||
| DOI: | 10.1088/1742-5468/2009/02/P02009 | |||||||||
| Record Number: | CaltechAUTHORS:20090424-101448984 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20090424-101448984 | |||||||||
| Official Citation: | Alexei Borodin and Patrik L Ferrari J. Stat. Mech. (2009) P02009 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 14069 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 07 Aug 2009 18:43 | |||||||||
| Last Modified: | 12 Jul 2022 19:46 |
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