Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73628515" target="_blank" >RIV/61989592:15310/24:73628515 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1751-8121/ad4934/pdf" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/ad4934/pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/ad4934" target="_blank" >10.1088/1751-8121/ad4934</a>

Result language
angličtina
Original language name
Anomalous and ultraslow diffusion of a particle driven by power-law-correlated and distributed-order noises
Original language description
We study the generalised Langevin equation (GLE) approach to anomalous diffusion for a harmonic oscillator and a free particle driven by different forms of internal noises, such as power-law-correlated and distributed-order noises that fulfil generalised versions of the fluctuation-dissipation theorem. The mean squared displacement and the normalised displacement correlation function are derived for the different forms of the friction memory kernel. The corresponding overdamped GLEs for these cases are also investigated. It is shown that such models can be used to describe anomalous diffusion in complex media, giving rise to subdiffusion, superdiffusion, ultraslow diffusion, strong anomaly, and other complex diffusive behaviours.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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