Heterogeneous diffusion in comb and fractal grid structures

DOI10.1016/j.chaos.2017.04.041zbMath1415.82011arXiv1704.07000OpenAlexW2607915951MaRDI QIDQ2000384

Trifce Sandev, Holger Kantz, Alexander Iomin, Alexander Schulz

Publication date: 28 June 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07000

zbMATH Keywords

combheterogeneous diffusionfractal grid

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Solutions to PDEs in closed form (35C05)

Related Items (12)

Heterogeneous diffusion with stochastic resetting ⋮ On the correlation between kappa and Lévy stable distributions ⋮ Anomalous diffusion in inclined comb-branch structure ⋮ Stochastic dynamics with multiplicative dichotomic noise: heterogeneous telegrapher's equation, anomalous crossovers and resetting ⋮ Advection-diffusion in a porous medium with fractal geometry: fractional transport and crossovers on time scales ⋮ Comb Model with Slow and Ultraslow Diffusion ⋮ Fractional radiative transport in the diffusion approximation ⋮ Time-fractional equations with reaction terms: fundamental solutions and asymptotics ⋮ A fractional Fokker–Planck equation for non-singular kernel operators ⋮ From continuous-time random walks to controlled-diffusion reaction ⋮ The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations ⋮ NON-FICKIAN DIFFUSION IN TIME–SPACE FLUCTUATING DIFFUSIVITY LANDSCAPES: FROM SUPERFAST TO ULTRASLOW

Cites Work

• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• Basic Theory of Fractional Differential Equations
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