A linear third-order 'jerk' equation driven by active Ornstein-Uhlenbeck noise yields mean-square displacement scaling with time exponents 6, 5, 4, or 3, and can destabilize harmonic confinement.
Thermally driven two-sphere microswimmer with internal feedback control
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abstract
We discuss the locomotion of a thermally driven elastic two-sphere microswimmer with internal feedback control that is realized by the position-dependent friction coefficients. In our model, the two spheres are in equilibrium with independent heat baths having different temperatures, causing a heat flow between the two spheres. We generally show that the average velocity of the microswimmer is nonzero when the friction coefficients are position-dependent. Using the method of stochastic thermodynamics, we obtain the entropy production rate and discuss the efficiency of the two-sphere microswimmer. The proposed self-propulsion mechanism highlights the importance of information in active matter and can be a fundamental process in various biological systems.
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Gigantic dynamical spreading and anomalous diffusion of jerky active particles
A linear third-order 'jerk' equation driven by active Ornstein-Uhlenbeck noise yields mean-square displacement scaling with time exponents 6, 5, 4, or 3, and can destabilize harmonic confinement.