Zobrazeno 1 - 10
of 197
pro vyhledávání: '"A. V. Chechkin"'
Autor:
Wei Wang, Michał Balcerek, Krzysztof Burnecki, Aleksei V. Chechkin, Skirmantas Janušonis, Jakub Ślęzak, Thomas Vojta, Agnieszka Wyłomańska, Ralf Metzler
Publikováno v:
Physical Review Research, Vol 5, Iss 3, p L032025 (2023)
We propose a generalization of the widely used fractional Brownian motion (FBM), memory-multi-FBM (MMFBM), to describe viscoelastic or persistent anomalous diffusion with time-dependent memory exponent α(t) in a changing environment. In MMFBM the bu
Externí odkaz:
https://doaj.org/article/e3f1d5499b9942f09b5b9567dec1cba1
Autor:
Costantino Di Bello, Aleksei V Chechkin, Alexander K Hartmann, Zbigniew Palmowski, Ralf Metzler
Publikováno v:
New Journal of Physics, Vol 25, Iss 8, p 082002 (2023)
Stochastic resetting is a rapidly developing topic in the field of stochastic processes and their applications. It denotes the occasional reset of a diffusing particle to its starting point and effects, inter alia, optimal first-passage times to a ta
Externí odkaz:
https://doaj.org/article/b8e8383fc9564c77aaafd70aff3f33c6
Publikováno v:
New Journal of Physics, Vol 25, Iss 6, p 063009 (2023)
We analyse the transport of diffusive particles that switch between mobile and immobile states with finite rates. We focus on the effect of advection on the density functions and mean squared displacements (MSDs). At relevant intermediate time scales
Externí odkaz:
https://doaj.org/article/f475fbd855174476b11fe3889dd2774d
Publikováno v:
New Journal of Physics, Vol 25, Iss 1, p 013010 (2023)
We study the effect of randomly distributed diffusivities and speeds in two models for active particle dynamics with active and passive fluctuations. We demonstrate how non-Gaussian displacement distributions emerge in these models in the long time l
Externí odkaz:
https://doaj.org/article/694b4956f4e149c38b9c33a426a3283f
Publikováno v:
Fractal and Fractional, Vol 6, Iss 5, p 260 (2022)
We study the first-arrival (first-hitting) dynamics and efficiency of a one-dimensional random search model performing asymmetric Lévy flights by leveraging the Fokker–Planck equation with a δ-sink and an asymmetric space-fractional derivative op
Externí odkaz:
https://doaj.org/article/8e50d7a7efce42df8d185e8e96ef70c9
Autor:
Amin Padash, Erez Aghion, Alexander Schulz, Eli Barkai, Aleksei V Chechkin, Ralf Metzler, Holger Kantz
Publikováno v:
New Journal of Physics, Vol 24, Iss 7, p 073026 (2022)
We perform numerical studies of a thermally driven, overdamped particle in a random quenched force field, known as the Sinai model. We compare the unbounded motion on an infinite 1-dimensional domain to the motion in bounded domains with reflecting b
Externí odkaz:
https://doaj.org/article/c7bce49531dd4ae39f11abdbd809db0b
Publikováno v:
Physical Review X, Vol 11, Iss 3, p 031002 (2021)
According to the classical theory of Brownian motion, the mean-squared displacement of diffusing particles evolves linearly with time, whereas the distribution of their displacements is Gaussian. However, recent experiments on mesoscopic particle sys
Externí odkaz:
https://doaj.org/article/39e94b29a290409788c79ef30545653c
Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories
Autor:
Samudrajit Thapa, Agnieszka Wyłomańska, Grzegorz Sikora, Caroline E Wagner, Diego Krapf, Holger Kantz, Aleksei V Chechkin, Ralf Metzler
Publikováno v:
New Journal of Physics, Vol 23, Iss 1, p 013008 (2021)
Extensive time-series encoding the position of particles such as viruses, vesicles, or individual proteins are routinely garnered in single-particle tracking experiments or supercomputing studies. They contain vital clues on how viruses spread or dru
Externí odkaz:
https://doaj.org/article/c2d14998cd89476ea54f7153b16915ab
Publikováno v:
New Journal of Physics, Vol 22, Iss 8, p 083041 (2020)
The passive and active motion of micron-sized tracer particles in crowded liquids and inside living biological cells is ubiquitously characterised by ‘viscoelastic’ anomalous diffusion, in which the increments of the motion feature long-ranged ne
Externí odkaz:
https://doaj.org/article/76a788afb63a4c1897f8c6d15ee7a770
Publikováno v:
Statistical Methods & Applications. 31:387-424
The class of $$\alpha$$ α -stable distributions is ubiquitous in many areas including signal processing, finance, biology, physics, and condition monitoring. In particular, it allows efficient noise modeling and incorporates distributional propertie