Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism
AbstractWe investigate an intermittent process obtained from the combination of a nonlinear diffusion equation and pauses. We consider the porous media equation with reaction terms related to the rate of switching the particles from the diffusive mode to the resting mode or switching them from the resting to the movement. The results show that in the asymptotic limit of small and long times, the spreading of the system is essentially governed by the diffusive term. The behavior exhibited for intermediate times depends on the rates present in the reaction terms. In this scenario, we show that, in the asymptotic limits, the distributions for this process are given by in terms of power laws which may be related to the q-exponential present in the Tsallis statistics. Furthermore, we also analyze a situation characterized by different diffusive regimes, which emerges when the diffusive term is a mixing of linear and nonlinear terms. View Full-Text
Share & Cite This Article
Lenzi, E.K.; da Silva, L.R.; Lenzi, M.K.; dos Santos, M.A.F.; Ribeiro, H.V.; Evangelista, L.R. Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism. Entropy 2017, 19, 42.
Lenzi EK, da Silva LR, Lenzi MK, dos Santos MAF, Ribeiro HV, Evangelista LR. Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism. Entropy. 2017; 19(1):42.Chicago/Turabian Style
Lenzi, Ervin K.; da Silva, Luciano R.; Lenzi, Marcelo K.; dos Santos, Maike A.F.; Ribeiro, Haroldo V.; Evangelista, Luiz R. 2017. "Intermittent Motion, Nonlinear Diffusion Equation and Tsallis Formalism." Entropy 19, no. 1: 42.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.