Scaling and width distributions of parity conserving interfaces

Abstract

We present an alternative finite-size approach to a set of parity conserving interfaces involving attachment, dissociation, and detachment of extended objects in 1+1 dimensions. With the aid of a nonlocal construct introduced by Barma and Dhar in related systems [Phys. Rev. Lett. 73, 2135 (1994)], we circumvent the subdiffusive dynamics and examine close-to-equilibrium aspects of these interfaces by assembling states of much smaller, numerically accessible scales. As a result, roughening exponents, height correlations, and width distributions exhibiting universal scaling functions are evaluated for interfaces virtually grown out of dimers and trimers on large-scale substrates. Dynamic exponents are also studied by finite-size scaling of the spectrum gaps of evolution operators.

11 pages, 7 figures, published version

References in corpus (5)

• Universal interface width distributions at the depinning threshold
• Higher correlations, universal distributions and finite size scaling in the field theory of depinning
• Surface pattern formation and scaling described by conserved lattice gases
• Fluctuations of self-flattening surfaces
• Non-universal dynamics of dimer growing interfaces

Cited by in corpus (1)

• Roughening of $k$-mer growing interfaces in stationary regimes