November 9, 2025Fractal and FractionalOpen Access

Fractional Motion of an Active Particle in Fractional Generalized Langevin Equations

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Analysis reveals super-diffusive scaling of mean squared displacement in active brownian particles, highlighting noise impacts.

Active brownian particles show super-diffusive scaling with mean squared displacement influenced by thermal noise,
The mean squared displacement demonstrates a scaling of t2h+1 in short-time regimes and varies under harmonic trap conditions.
Utilizing double Fourier transforms, the study derives the fokker–planck equation for probability density behavior of active particles.
These findings underscore the significance of viscoelastic memory effects in particle dynamics under thermal and active noises.

Kang et al. (2025) studied this question.

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