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Anisotropic KPZ growth in 2 + 1 dimensions : fluctuations and covariance structure

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.

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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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URLURL TypeDescription Paper
Ferrari, Patrik L.0000-0003-3090-5129
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
Record Number:CaltechAUTHORS:20090424-101448984
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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
Deposited On:07 Aug 2009 18:43
Last Modified:12 Jul 2022 19:46

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