We study the restricted solid on solid model for surface growth in spatial dimension d = 2 by means of a multisurface coding technique that allows one to produce a large number of samples in the stationary regime in a reasonable computational time. Thanks to (i) a careful finite-size scaling analysis of the critical exponents and (ii) the accurate estimate of the first three moments of the height fluctuations, we can quantify the wandering exponent with unprecedented precision: χd=2 = 0.3869(4). This figure is incompatible with the long-standing conjecture due to Kim and Koesterlitz that hypothesized χd=2 = 2/5.

Numerical estimate of the Kardar-Parisi-Zhang universality class in (2+1) dimensions / Pagnani, Andrea; Parisi, Giorgio. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 92:1(2015). [10.1103/PhysRevE.92.010101]

Numerical estimate of the Kardar-Parisi-Zhang universality class in (2+1) dimensions

PAGNANI, ANDREA;
2015

Abstract

We study the restricted solid on solid model for surface growth in spatial dimension d = 2 by means of a multisurface coding technique that allows one to produce a large number of samples in the stationary regime in a reasonable computational time. Thanks to (i) a careful finite-size scaling analysis of the critical exponents and (ii) the accurate estimate of the first three moments of the height fluctuations, we can quantify the wandering exponent with unprecedented precision: χd=2 = 0.3869(4). This figure is incompatible with the long-standing conjecture due to Kim and Koesterlitz that hypothesized χd=2 = 2/5.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2614444
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