Delay time of waves performing Lévy walks in 1D random media
Razo-López, L.A., Fernández-Marín, A.A., Méndez-Bermúdez, J.A., José Sánchez‐Dehesa, Gopar, V.A.
Abstract
The time that waves spend inside 1D random media with the possibility of performing Lévy walks is experimentally and theoretically studied. The dynamics of quantum and classical wave diffusion has been investigated in canonical disordered systems via the delay time. We show that a wide class of disorder—Lévy disorder—leads to strong random fluctuations of the delay time; nevertheless, some statistical properties such as the tail of the distribution and the average of the delay time are insensitive to Lévy walks. Our results reveal a universal character of wave propagation that goes beyond standard Brownian wave-diffusion.
Topics & Concepts
Random walkBrownian motionStatistical physicsDiffusionQuantum walkAnomalous diffusionPhysicsContinuous-time random walkCharacter (mathematics)Class (philosophy)QuantumMathematicsQuantum mechanicsComputer scienceStatisticsInnovation diffusionArtificial intelligenceQuantum algorithmGeometryKnowledge managementRandom lasers and scattering mediaDiffusion and Search DynamicsNonlinear Dynamics and Pattern Formation