Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement

DOI10.1088/1751-8113/43/25/252001zbMath1192.82037OpenAlexW2106783009MaRDI QIDQ3575084

Jae-Hyung Jeon, Ralf Metzler

Publication date: 7 July 2010

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

Full work available at URL: https://semanticscholar.org/paper/b06b2f8ff3146a8f2f8e0913dddeec6ddd30836e

Mathematics Subject Classification ID

Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Transport processes in time-dependent statistical mechanics (82C70) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (11)

Efficient recurrent neural network methods for anomalously diffusing single particle short and noisy trajectories ⋮ The Asymptotic Distribution of The Pathwise Mean Squared Displacement in Single Particle Tracking Experiments ⋮ Spectral design of anomalous diffusion ⋮ Asymptotic Analysis of the Mean Squared Displacement under Fractional Memory Kernels ⋮ Lamperti transformation -- cure for ergodicity breaking ⋮ Lamperti transformation of scaled Brownian motion and related Langevin equations ⋮ Ergodicity breaking, ageing, and confinement in generalized diffusion processes with position and time dependent diffusivity ⋮ Ergodic property of Langevin systems with superstatistical, uncorrelated or correlated diffusivity ⋮ Fluid heterogeneity detection based on the asymptotic distribution of the time-averaged mean squared displacement in single particle tracking experiments ⋮ Classification, inference and segmentation of anomalous diffusion with recurrent neural networks ⋮ WaveNet-based deep neural networks for the characterization of anomalous diffusion (WADNet)

This page was built for publication: Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement