Multi-surface coding simulations of the restricted solid-on-solid model in four dimensions

Abstract

We study the Restricted Solid on Solid (RSOS) model for surface growth in spatial dimension d=4 by means of a multi-surface coding technique that allows to analyze samples 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.

6 pages, 3 pdf figures, changed title and minor changes in the abstract, added some references. This is the published version

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Cited by in corpus (15)

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• Numerical estimate of the Kardar Parisi Zhang universality class in (2 + 1) dimensions
• Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension
• The Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group
• Growth exponents of the etching model in high dimensions
• Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation
• Scaling, cumulant ratios and height distribution of the ballistic deposition in 3+1 and 4+1 dimensions
• Kardar-Parisi-Zhang universality class in ($d+1$)-dimensions
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• The QISG suite: high-performance codes for studying Quantum Ising Spin Glasses
• Efimov effect at the Kardar-Parisi-Zhang roughening transition
• Surface growth on treelike lattices and the upper critical dimension of the KPZ class
• Stiff directed lines in random media
• Rough or crumpled: Strong coupling phases of a generalized Kardar-Parisi-Zhang surface
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles