Non-Gaussian transport in tempered fractional Laplace motion
Abstract
We study a minimal stochastic model for active transport featuring a non-Gaussian displacement probability density function and transient superdiffusion. Our approach is based on a combination of an exponential tempering in the parental fractional Brownian noise correlations, augmented by a gamma-distribution of the diffusivity across the ensemble. For the resulting tempered fractional Laplace motion we derive analytical expressions for the mean-squared displacement, the kurtosis, the non-Gaussianity parameter and the displacement probability density function. We also show via stochastic simulations that the model quantitatively reproduces the main experimental observations in a recent study of active cargo particle transport by a carpet of amoeba cells.
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BibTeX
@misc{zhao2026nongaussian,
title = {{Non-Gaussian transport in tempered fractional Laplace motion}},
author = {Yiming Zhao and Wei Wang and Ralf Metzler},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40113},
eprint = {2610.40113},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40113},
}
RIS
TY - UNPB
TI - Non-Gaussian transport in tempered fractional Laplace motion
AU - Yiming Zhao
AU - Wei Wang
AU - Ralf Metzler
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40113
UR - https://arxiv.org/abs/2610.40113
AB - We study a minimal stochastic model for active transport featuring a non-Gaussian displacement probability density function and transient superdiffusion. Our approach is based on a combination of an exponential tempering in the parental fractional Brownian noise correlations, augmented by a gamma-distribution of the diffusivity across the ensemble. For the resulting tempered fractional Laplace motion we derive analytical expressions for the mean-squared displacement, the kurtosis, the non-Gaussianity parameter and the displacement probability density function. We also show via stochastic simulations that the model quantitatively reproduces the main experimental observations in a recent study of active cargo particle transport by a carpet of amoeba cells.
ER -