Numerical study of a model for non-equilibrium wetting

TL;DR

This paper revisits and corrects the critical exponents of a non-equilibrium wetting model, explores a special phase transition point related to directed percolation, and provides a comprehensive scaling scheme.

Contribution

It offers a corrected and complete scaling analysis of the model and links the roughening transition to directed percolation, including crossover exponent calculations.

Findings

Corrected estimates of critical exponents.

Identified a roughening transition related to directed percolation.

Predicted phase transition line near the terminal point.

Abstract

We revisit the scaling properties of a model for non-equilibrium wetting [Phys. Rev. Lett. 79, 2710 (1997)], correcting previous estimates of the critical exponents and providing a complete scaling scheme. Moreover, we investigate a special point in the phase diagram, where the model exhibits a roughening transition related to directed percolation. We argue that in the vicinity of this point evaporation from the middle of plateaus can be interpreted as an external field in the language of directed percolation. This analogy allows us to compute the crossover exponent and to predict the form of the phase transition line close to its terminal point.