Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jan;87(1):010102. doi: 10.1103/PhysRevE.87.010102. Epub 2013 Jan 14.

Multisurface coding simulations of the restricted solid-on-solid model in four dimensions.

Physical review. E, Statistical, nonlinear, and soft matter physics

Andrea Pagnani, Giorgio Parisi

PMID: 23410269 DOI: 10.1103/PhysRevE.87.010102

Abstract

We study the restricted solid-on-solid model for surface growth in spatial dimension d=4 by means of a multisurface coding technique that allows us to analyze samples of size up to 256(4) in the steady-state regime. For such large systems we are able to achieve a controlled asymptotic regime where the typical scale of the fluctuations are larger than the lattice spacing used in the simulations. A careful finite-size scaling analysis of the critical exponents clearly indicate that d=4 is not the upper critical dimension of the model.

MeSH terms

• Computer Simulation
• Crystallization / methods
• Models, Chemical*
• Models, Molecular*
• Models, Statistical*

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't