Numerical study of a model for nonequilibrium wetting

We revisit the scaling properties of a model for nonequilibrium 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.

Figure 1

(Color online) Phase diagram of the wetting model with $r=1$.

Figure 2

Transition rates for the wetting model.

Figure 3

(Color online) Off-critical simulations. Density of sites with height zero $n_0$ (left) and the interface width $w$ (right) as functions of the distance from the critical point $q_c=0.4295\left(1\right)$. With $p=0.001$, $L=4096$, and 100 independent realizations.

Figure 4

(Color online) Finite-size simulations. The figure shows the difference $\Delta$ between the finite-size critical point $q_c\left(L\right)$ and the extrapolated critical point $q_c\left(\infty \right)=0.4295\left(3\right)$ as a function of $L$ for $p=0.001$.

Figure 5

(Color online) Time-dependent simulations. The order parameter $n_0$ at the critical point $q_c=0.4295\left(1\right)$ as a function of the number of Monte Carlo steps $t$ with $p=0.001$, $L=8192$, and 800 independent realizations.

Figure 6

Transition rates for the restricted model.

Figure 7

(Color online) Difference $q_c-q_c^{\mathrm{DP}}$ as a function of $p$.

Figure 8

(Color online) $m_k$ as a function of $h$ with ${\lambda }_c=4.30195\left(5\right)$ [14] for the restricted model with the external field. In this case $L=4096$ and 1000 is the number of independent realizations.