THE COMPLEXITY OF BROWNIAN PROCESSES RUN WITH NONLINEAR CLOCKS

DOI10.1142/S0217984911025481zbMath1208.82051MaRDI QIDQ3070421

Moongyu Park, John H. Cushman

Publication date: 3 February 2011

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

diffusionBrownian motionflow in porous media

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Brownian motion (60J65) Flows in porous media; filtration; seepage (76S05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

A renormalization group classification of nonstationary and/or infinite second moment diffusive processes ⋮ Upscaling Lévy motions in porous media with long range correlations ⋮ Conformal invariance of isoheight lines of the \((2+1)\)-dimensional Wolf-Villain surfaces ⋮ Fractional Brownian sheets run with nonlinear clocks

Cites Work

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• Lagrangian velocity fluctuations in fully developed turbulence: scaling, intermittency, and dynamics
• Nonequilibrium statistical mechanics of preasymptotic dispersion
• Nonlinear anomalous diffusion equation and fractal dimension: Exact generalized Gaussian solution
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• An experimental investigation of the relative diffusion of particle pairs in three-dimensional turbulent flow
• Scaling Laws and Fokker--Planck Equations for 3-Dimensional Porous Media with Fractal Mesoscale

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