Nonextensive Statistical Mechanics

7.1 Physics 2337.1.4 FingeringWhen two miscible liquids are pushed one into the other one, it is frequently observedfingering (e.g., viscous fingering) [435–437]. By computationally solvingan appropriate generalized diffusion equation, this phenomenon has been put intoevidence computationally: see Fig. 7.14.7.1.5 Granular MatterGranular matter systems provide many interesting applications (see, for instance[450–452]). They involve inelastic collisions between the particles.Fig. 7.14 Top: Concentration fluctuations field in the onset of fingering between two miscibleliquids showing landscape of q-Gaussian “hills and wells” (highest positive values are red; highestnegative values are magenta). From [435,437]. These structures identify the existence of precursorsto the fingering phenomenon as they develop before any fingering pattern can be seen. Bottom:Section plane cut through the hills and wells. The dashed line is made from junctions (at thesuccessive inflection points) of q-Gaussian branches.