DC currents in Hamiltonian systems by Lévy flights

DOI10.1016/S0167-2789(02)00545-6zbMath1001.82101MaRDI QIDQ1607430

R. Smith

Publication date: 31 July 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

directed transportstochastic layerLévy flightscontinuous time random walk approachdirected transports

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Dynamical aspects of statistical mechanics (37A60)

Related Items (7)

Some new aspects of Lévy walks and flights: directed transport, manipulation through flights and population exchange ⋮ Current reversals in chaotic ratchets: the battle of the attractors ⋮ Intermittency and deterministic diffusion in chaotic ratchets. ⋮ Lévy noise with memory ⋮ Ratchet current in nontwist Hamiltonian systems ⋮ Finite-time Lyapunov spectrum for chaotic orbits of non-integrable Hamiltonian systems ⋮ Tunable transport with broken space-time symmetries

Cites Work

• Unnamed Item
• Chaotic advection in a two-dimensional flow: Lévy flights and anomalous diffusion
• Chaotic transport in dynamical systems
• Diffusion on a chaotic attractor
• Diffusion, effusion, and chaotic scattering: An exactly solvable Liouvillian dynamics
• Classical and quantum transport in deterministic Hamiltonian ratchets
• Hierarchical structures in the phase space and fractional kinetics: II. Immense delocalization in quantized systems
• Brownian motors: noisy transport far from equilibrium

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