Non-Gaussian diffusion of mixed origins
arXiv:1903.00914 · doi:10.1088/1751-8121/ab2826
Abstract
The properties of diffusion processes are drastically affected by heterogeneities of the medium that can induce non-Gaussian behavior of the propagator in contrast with the idealized realm of Brownian motion. In this paper we analyze the diffusion propagator when distinct origins of heterogeneity (e.g. time-fractional diffusion, diffusing diffusivity, distributed diffusivity across a population) are combined. These combinations allow one to describe new classes of strongly heterogeneous processes relevant to biology. Based on a combined subordination technique, we obtain the exact propagator for different instructive examples. This approach is then used to calculate analytically the first-passage time statistics (on half-real line and in any bounded domain) for a particle undergoing non-Gaussian diffusion of mixed origins.
References in corpus (21)
- Superstatistics
- Universal nature of particle displacements close to glass and jamming transitions
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
- "Diffusing diffusivity": A model for anomalous and "anomalous yet Brownian" diffusion
- Langevin equations for continuous time Lévy flights
- From time series to superstatistics
- Nonergodic Subdiffusion from Brownian Motion in an Inhomogeneous Medium
- Weak ergodicity breaking of receptor motion in living cells stemming from random diffusivity
- Diffusion-limited reactions in dynamic heterogeneous media
- Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion
- Space-time fractional diffusion on bounded domains
- Continuous time random walk with correlated waiting times
- A model of non-Gaussian diffusion in heterogeneous media
- Tracer diffusion in a sea of polymers with binding zones: mobile vs frozen traps
- Velocity correlations in dense granular flows observed with internal imaging
- First passage statistics for diffusing diffusivity
- Weak ergodicity breaking in an anomalous diffusion process of mixed origins
- A unifying approach to first-passage time distributions in diffusing diffusivity and switching diffusion models
- Fractional Brownian motion time-changed by gamma and inverse gamma process
- Stochastic Tools Hidden Behind the Empirical Dielectric Relaxation Laws
- Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles
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- Universal spectral features of different classes of random diffusivity processes
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- Preface: New trends in first-passage methods and applications in the life sciences and engineering
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- Statistics of the first passage area functional for an Ornstein-Uhlenbeck process
- Superstatistical approach of the anomalous exponent for scaled Brownian motion
- Exact first-passage time distributions for three random diffusivity models
- Reversible reactions controlled by surface diffusion on a sphere
- Temperature and friction fluctuations inside a harmonic potential
- Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
- Super-Gaussian, super-diffusive transport of multi-mode active matter