Statistically locked-in transport through periodic potential landscapes

Area of Science:

• Condensed matter physics
• Statistical mechanics
• Soft matter physics

Background:

• Classical particles in periodically modulated potential energy landscapes exhibit complex dynamics.
• Theoretical predictions suggest a devil's staircase hierarchy of commensurate trajectories based on driving force orientation.
• Experimental observations with colloidal spheres in optical traps reveal deviations from predicted structures.

Purpose of the Study:

• To investigate the discrepancy between theoretical predictions and experimental results for particle transport in modulated potentials.
• To understand the emergence of statistical commensurability from microscopic randomness.
• To develop a model that accurately captures the observed hierarchy and statistics of driven transport.

Main Methods:

• Introduction of an idealized model for periodically modulated transport.
• Incorporation of randomness into the transport dynamics.
• Analysis of the model's ability to reproduce experimental observations.

Main Results:

• The model captures the observed hierarchy of statistically locked-in states.
• Microscopic trajectories are found to be random, with commensurability appearing statistically.
• The model successfully explains the structure and statistics of observed transport phenomena.

Conclusions:

• Periodic transport in modulated potentials with randomness leads to statistical commensurability.
• The developed model provides a framework for understanding these complex dynamics.
• Experimental findings are reconciled with theoretical concepts through a statistical approach.