Nonextensive Statistical Mechanics

236 7 Thermodynamical and Nonthermodynamical ApplicationsFig. 7.17 Time evolution of the second moments at the intermediate regime for a silo aperture3.8d. The straight line indicates a slope γ = 4/3 (from [451, 452]).one takes into account that many other attempts exist in the literature which exhibitonly partial success in spite of the fact that they frequently involve several fittingparameters [456].Figure 7.18 shows a typical temperature-magnetic field diagram as obtained forq = 0.1. In Fig. 7.19 a comparison is done between theoretical and experimentalequations of states. The temperature-dependent parameters of the theory (q and μ)are indicated in Fig. 7.20. Using these phenomenological curves, Figs. 7.21 and 7.22are obtained, with no further fitting parameters at all.Fig. 7.18 Results from the theoretical model. Projection of the phase diagram in the h − t plane,for q = 0.1. Above certain values of field h ≥ h 0q , and temperature t ≥ t 0q , the transition becomescontinuous (from [456]).