5 IV. CONCLUSION FIG. 7: Snapshots at the pseudo-critical points starting with m 0 = 0, a) x d c and b) x o c . Times are (from left to right) 1, 100, 1000, 10000 and 20000. FIG. 8: Snapshots at the pseudo-critical points starting with m 0 = 1, a) x d c and b) x o c . Times are (from left to right) 1, 100, 1000, 10000 and 20000. FIG. 9: Snapshots at the pseudo-critical points starting with m 0 almost zero and a circular border, a) x d c and b) x o c . Times are (from left to right) 1, 100, 1000, 10000 and 20000. VI. REFERENCES V. ACKNOWLEDGMENTS In this work it has been shown that the short time dynamic in the majority vote model presents power law behavior at different control parameters for the grow- ing, x d c = 0 . 84860(10), and the decay processes, x o c = 0 . 85007(6). These pseudo-critical points are compati- bles with results for the critical point reported previously, x$_{c}$ = 0 . 850(2). It has been show also that the dynamic in both cases is slower that in Ising model for all the quantities calculated ( m, m (2) and A ). These results seems to be related to the competing dynamic between the interface ( β$_{2}$ ) and bulk ( β$_{4}$ ) temperatures associated to the dynamic, and as consequence to the absence of detailed balance in the system. In order to corroborate these results additional simulations must be carry on in systems without detailed balance. The dynamical critical exponent ( z ) and the static critical exponent ( β/ν ) has been evaluated independently using a growing process, in both cases the results were close to the Ising ones. For the decay process the z exponent was evaluated using re- sults from static simulations founding that the value is different from the obtained in the growing process. seems to appear faster that at x d $_{c}$. Figure 8 shows the same time evolution for m$_{0}$ = 1. In this case at the beginning of the evolution all sites have spin-flip probability that depends only on β$_{4}$ and the decay is slightly lower at x o $_{c}$. It seems that the coarsening differs at the two pseudo- critical points, so as a final test the time evolution for a special initial condition were performed setting m$_{0}$ re- ally close to zero putting almost half of the spins in one state and the other half in the other state with a circular border, in this way we have a large number of sites with β$_{4}$ while the number of possible sites with b$_{2}$ increases (Fig. 9). We can observe that the circular shape last longer at x o $_{c}$. In order to corroborate the effect of the difference between temperatures it should be performed simulations in spin-like systems for different ratios β$_{4}$/β$_{2}$ , except for the equilibrium case β$_{4}$/β$_{2}$ = 1. I wish to thank G. P´ erez for his useful comments. This work was supported by Conacyt M´ exico through Grant No. 61418/2007.