Motion of a self-propelled particle with rotational inertia

Abstract

Generalized analytical equations for the mean kinetic energy, mean-square displacement and noise-averaged trajectory of a self-propelled particle with both translational and rotational inertia and velocity fluctuations are proposed.

Role of rotational inertia for collective phenomena in active matter

“…Successively, the problem has been further addressed theoretically 65,66 also through the introduction of a simplified model. 67 Except for these contributions in the case of a single-particle, the role of rotational inertia on the collective phenomena typical of active particles has not been systematically explored and it will be the main object of investigation in this paper.…”

Role of rotational inertia for collective phenomena in active matter

“…[64] to reproduce the inertial delay between particle orientation and velocity, experimentally observed in the behavior of a single active granular particle. Successively, the problem has been further addressed theoretically [65,66] also through the introduction of a simplified model [67]. Except for these contributions in the case of a single-particle, the role of rotational inertia on the collective phenomena typical of active particles has not been systematically explored and it will be the main object of investigation in this paper.…”

Dynamics of a two-dimensional active polymer chain with a rotation-restricted active head

“…Some simulations have studied the influence of the rotational inertia I on the dynamics of ABP using Langevin dynamics simulations. [45][46][47] In our work, we set s, m, and k B T as the units of length, mass, and energy, respectively. In the present work, the unit of time is t 0 = (ms 2 /k B T) 1/2 .…”

“…The diffusion of the active polymer can be attributed to the following two factors: the active force of ABP and thermal noise, i.e., D eff = D P + D T . 45 Here D T is the elementary diffusion coefficient of the passive polymer ( f s = 0) due to the thermal fluctuation, while D P = D eff À D T represents the effect of the selfpropulsion force. For a polymer of length N = 64, the value of D T is about 0.016.…”