The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …
forged into a mature framework in the theory of stochastic processes. A large number of …
Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
In this article we review classical and recent results in anomalous diffusion and provide
mechanisms useful for the study of the fundamentals of certain processes, mainly in …
mechanisms useful for the study of the fundamentals of certain processes, mainly in …
Viscoelastic subdiffusion: generalized Langevin equation approach
I Goychuk - Advances in Chemical Physics, 2012 - Wiley Online Library
Viscoelastic subdiffusion: generalized Langevin equation approach Page 195 VISCOELASTIC
SUBDIFFUSION: GENERALIZED LANGEVIN EQUATION APPROACH IGOR GOYCHUK …
SUBDIFFUSION: GENERALIZED LANGEVIN EQUATION APPROACH IGOR GOYCHUK …
The mesoscopic dynamics of thermodynamic systems
Concepts of everyday use such as energy, heat, and temperature have acquired a precise
meaning after the development of thermodynamics. Thermodynamics provides the basis for …
meaning after the development of thermodynamics. Thermodynamics provides the basis for …
Fractional Langevin equation: Overdamped, underdamped, and critical behaviors
The dynamical phase diagram of the fractional Langevin equation is investigated for a
harmonically bound particle. It is shown that critical exponents mark dynamical transitions in …
harmonically bound particle. It is shown that critical exponents mark dynamical transitions in …
Collective movement of epithelial cells on a collagen gel substrate
H Haga, C Irahara, R Kobayashi, T Nakagaki… - Biophysical journal, 2005 - cell.com
Collective cell movement acts as an efficient strategy in many physiological events,
including wound healing, embryonic development, and morphogenesis. We found that …
including wound healing, embryonic development, and morphogenesis. We found that …
On the Green-Kubo relationship for the liquid-solid friction coefficient
In this paper, we propose a new derivation for the Green-Kubo relationship for the liquid-
solid friction coefficient characterizing hydrodynamic slippage at a wall. It is based on a …
solid friction coefficient characterizing hydrodynamic slippage at a wall. It is based on a …
Serotonergic axons as fractional Brownian motion paths: Insights into the self-organization of regional densities
S Janušonis, N Detering, R Metzler… - Frontiers in Computational …, 2020 - frontiersin.org
All vertebrate brains contain a dense matrix of thin fibers that release serotonin (5-
hydroxytryptamine), a neurotransmitter that modulates a wide range of neural, glial, and …
hydroxytryptamine), a neurotransmitter that modulates a wide range of neural, glial, and …
Superdiffusion on a comb structure
E Baskin, A Iomin - Physical review letters, 2004 - APS
We study specific properties of particles transport by exploring an exact solvable model, a so-
called comb structure, where diffusive transport of particles leads to subdiffusion. A …
called comb structure, where diffusive transport of particles leads to subdiffusion. A …
Origin of hyperdiffusion in generalized Brownian motion
We study a minimal non-Markovian model of superdiffusion which originates from long-
range velocity correlations within the generalized Langevin equation approach. The model …
range velocity correlations within the generalized Langevin equation approach. The model …