Viscoelastic Subdiffusion: Generalized Langevin Equation Approach

By Igor Goychuk. 2012

176 citations recorded by the source corpus.

Subfields: Materials Chemistry, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/364f0729ca47c06a38910b69cdfb549311ed0aaa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

1. Ralf Metzler
2. Johannes H. P. Schulz
3. Eli Barkai
4. Aleksei V. Chechkin

In Statistical and Nonlinear Physics

1. Ralf Metzler
2. Jae-Hyung Jeon
3. Aleksei V. Chechkin
4. Johannes H. P. Schulz
5. Eli Barkai
6. Charles Tadjeran
7. Mark M. Meerschaert
8. Joseph Klafter

Citations in the corpus

• Protein Crowding in Lipid Bilayers Gives Rise to Non-Gaussian Anomalous Lateral Diffusion of Phospholipids and Proteins (2016, background): “The FLE, a special case of the generalized Langevin equation [91] with power-law friction kernel compensating the power-law correlations of the driving fractional Gaussian noise, typically describes the motion of tracer particles in viscoelastic media [92].”
• Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities (2016, background): “Namely, for the motion of particles in a viscoelastic environment with a fixed generalized diffusivity Dα of dimension cm(2)= secα, the motion is characterized by the Gaussian [12,37]”
• Aging renewal theory and application to random walks (2013, methodology): “Here, we analyze such a two-component stochastic motion governed by CTRW-style dynamics coupled to a viscoelastic component described by the fractional Langevin equation [64,65].”