Phase Locking and Fractional Shapiro Steps in Collective Dynamics of Microparticles

Area of Science:

• Nonlinear dynamics
• Soft matter physics
• Statistical mechanics

Background:

• Phase locking is a key phenomenon in driven nonlinear systems, creating stable states across parameter ranges.
• Microscopic mechanisms of collective dynamics in micro- and nanoparticles are crucial for understanding phase locking.
• Recent experimental advancements enable deeper exploration of these phenomena.

Purpose of the Study:

• To investigate the origin of phase-locked dynamics in hardcore-interacting microparticles within a periodic potential under time-periodic driving.
• To elucidate the relationship between phase-locked currents, soliton velocities, and particle synchronization.
• To identify the conditions under which collective particle dynamics synchronize with the external driving force.

Main Methods:

• Modeling phase-locked dynamics using an effective potential for solitary wave propagation.
• Applying a unit displacement law to analyze particle movement and synchronization.
• Analyzing the collective dynamics of densely populated microparticles in a periodic potential.

Main Results:

• Phase-locked dynamics arise from running solitary cluster waves.
• Phase-locked current values are directly related to soliton velocities.
• Collective particle dynamics synchronize with the driving force only for specific particle diameters.

Conclusions:

• Solitary cluster waves are the microscopic origin of phase locking in this system.
• The interplay between soliton velocity and particle size governs synchronization.
• The findings provide a framework for understanding and controlling collective particle behavior in driven systems.