Anomalous diffusion in a generalized Langevin equation

DOI10.1063/1.3187218zbMath1298.82048OpenAlexW2031002997MaRDI QIDQ3069180

Sau Fa Kwok

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3187218

zbMATH Keywords

diffusionGaussian noisefunctions

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (5)

Quantum Brownian motion of a charged oscillator in a magnetic field coupled to a heat bath through momentum variables ⋮ Fractional Schrödinger equation and time dependent potentials ⋮ Cooperative mechanism of resonant behaviors in a fluctuating-mass generalized Langevin system with generalized Mittag–Leffler memory kernel ⋮ On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator ⋮ Mittag-Leffler noise induced resonance behavior in a fractional generalized Langevin equation with random trichotomous inherent frequency

Cites Work

• Maximizing information exchange between complex networks
• Chaos, fractional kinetics, and anomalous transport
• Dynamical correlations
• Memory effects on stochastic resonance.
• Properties of the Mittag-Leffler relaxation function
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• MEAN FIRST-PASSAGE TIME OF A TUMOR CELL GROWTH SYSTEM SUBJECTED TO A COLORED MULTIPLICATIVE NOISE AND A WHITE ADDITIVE NOISE WITH COLORED CROSS-CORRELATED NOISES
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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