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The random walk's guide to anomalous diffusion: a fractional dynamics approach

Ralf Metzler, J. Klafter

2000Physics Reports8,917 citationsDOI

Topics & Concepts

Anomalous diffusionPhysicsRandom walkStatistical physicsRelaxation (psychology)DiffusionMaster equationContinuous-time random walkFokker–Planck equationFractional calculusExponential functionAdvectionClassical mechanicsMathematical analysisDifferential equationInnovation diffusionMathematicsQuantum mechanicsKnowledge managementStatisticsPsychologyQuantumSocial psychologyComputer scienceFractional Differential Equations SolutionsSpectroscopy and Quantum Chemical Studiesstochastic dynamics and bifurcation
The random walk's guide to anomalous diffusion: a fractional dynamics approach | Litcius