Dynamics of a single anisotropic particle under various resetting protocols

Area of Science:

• Statistical Mechanics
• Soft Matter Physics
• Colloidal Science

Background:

• Anisotropic particles exhibit time-dependent diffusion, anisotropic at short times and isotropic at late times due to rotational diffusion.
• Stochastic resetting is a powerful technique to control particle dynamics and achieve steady states.

Purpose of the Study:

• To analytically investigate the dynamics of anisotropic particles under various stochastic resetting schemes in two dimensions.
• To understand how spatial and orientational resetting influence particle transport and steady-state distributions.
• To explore the unique behaviors arising from the coupling of translational and rotational degrees of freedom with stochastic resetting.

Main Methods:

• Analytical treatment of Brownian motion for shape-asymmetric particles in 2D.
• Inclusion of different stochastic resetting schemes (spatial, orientational, or both).
• Analysis of the interplay between translational and rotational degrees of freedom.

Main Results:

• Orientational resetting sustains anisotropy at late times.
• Combined spatial and orientational resetting leads to a non-trivial steady-state distribution dependent on initial orientation, asymmetry, and resetting rate.
• Spatial resetting alone results in a steady state independent of particle asymmetry.
• Orientational resetting alone yields a Gaussian late-time density with an effective diffusion tensor.

Conclusions:

• The coupling between translational and rotational motion, modulated by stochastic resetting, generates novel late-time behaviors distinct from symmetric particles.
• These findings offer insights for controlling asymmetric colloids in applications like self-assembly.