Non-universal dynamics of dimer growing interfaces

TL;DR

This paper investigates the finite temperature dynamics of dimer-based growth models in 1+1 dimensions, revealing non-universal behavior in the dynamic exponent influenced by surface tension, while the roughening exponent remains stable.

Contribution

It introduces a finite temperature version of dimer growth models and analyzes how surface tension affects the dynamic exponent, highlighting non-universal growth behavior.

Findings

Dynamic exponent depends on surface tension and varies with system size.

Roughening exponent remains consistent across different temperatures.

Finite size scaling is influenced by surface tension effects.

Abstract

A finite temperature version of body-centered solid-on-solid growth models involving attachment and detachment of dimers is discussed in 1+1 dimensions. The dynamic exponent of the growing interface is studied numerically via the spectrum gap of the underlying evolution operator. The finite size scaling of the latter is found to be affected by a standard surface tension term on which the growth rates depend. This non-universal aspect is also corroborated by the growth behavior observed in large scale simulations. By contrast, the roughening exponent remains robust over wide temperature ranges.