let us discuss which is the microscopic mechanism at the basis of this crossover.

For finite values of $2<p<\infty $ we generalize the definition of a texture as a region of the lattice of length $L_w(t)$ where $p$ subsequent domains are found, each of average length $L_d(t)\sim L_w(t)/p$, such that moving along the lattice the value of $n$ follows the sequence $n=p,p-1,...,1$. This is schematically shown in Fig. \[figture\].

To developed order two mechanisms are possible: A texture can grow by increasing the number of spins $L_d(t)$ on every step. We anticipate that this process is found to be relevant for $p>p_c$ and leads to the power law behavior (\[ldit\]) of $L_w(t)$ with $z=4$, as in the XY model. This behavior competes with the tendency to build the largest possible domains, instead of textures. This amounts to replace a texture with a number $N_D \ll p$ of domains each characterized by a single value of $n$. However, for $p>p_c$ at $T=0$, once textures are present, this process is not allowed. In fact, let us consider the situation of Fig. \[figture\] and the possibility to form, in this region, a unique domain with, say, $n=p$ (the dotted line in Fig. \[figture\]). 