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.
Memory formation in dense persistent active matter
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abstract
Protocol-dependent states in structural glasses can encode a disordered, yet retrievable memory. While training such materials is typically done via a global drive, such as external shear, in dense active matter the driving is instead local and spatio-temporally correlated. Here we focus on the impact of such spatial correlation on memory formation. We investigate the mechanical response of a dense amorphous packing of athermal particles, subject to an oscillatory quasistatic driving with a tunable spatial correlation, akin to the instantaneous driving pattern in active matter. We find that the capacity to encode memory can be rendered comparable upon a proper rescaling on the spatial correlation, whereas the efficiency in memory formation increases with motion cooperativity.
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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.