Analytical solutions for the joint probability density of an active particle under uniform vortex force, thermal noise, viscous dissipation, and optional harmonic confinement are obtained in two time regimes using power-law viscoelastic kernels.
A systematic path to non -Markovian dynamics II: Probabilistic response of nonlinear multidimensional systems to Gaussian colored noise excitation
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Fractional motions of an active particle on the quantum vortex
Analytical solutions for the joint probability density of an active particle under uniform vortex force, thermal noise, viscous dissipation, and optional harmonic confinement are obtained in two time regimes using power-law viscoelastic kernels.