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Dimer diffusion in a washboard potential.

E Heinsalu¹, M Patriarca, F Marchesoni

¹Institute of Theoretical Physics, University of Tartu, Tähe 4, Tartu, Estonia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 21, 2008

Summary

We studied the movement of a two-particle dimer on a periodic surface. Dimer transport properties, including mobility and diffusion, differ significantly from single particles and depend complexly on external forces.

Area of Science:

Statistical Physics
Soft Matter Physics
Computational Physics

Background:

Brownian motion describes the random movement of particles suspended in a fluid.
Transport phenomena in periodic potentials are crucial for understanding molecular motors and charge transport.

Purpose of the Study:

To investigate the transport properties of a two-particle dimer system on a periodic substrate.
To compare the dimer's behavior with that of a single Brownian particle (monomer).
To analyze the influence of external driving forces and system parameters on transport.

Main Methods:

Numerical simulations were employed to model the dimer's motion.
Analytical techniques were used to derive and understand the transport characteristics.

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The system involved two Brownian particles connected by a harmonic potential on a periodic substrate.

Main Results:

The dimer's center of mass exhibits distinct mobility and diffusion characteristics compared to a monomer.
Average current and diffusion coefficient show complex, non-monotonic dependencies on the driving force.
Dimer equilibrium length, coupling strength, and damping constant significantly affect transport properties.

Conclusions:

Dimer formation introduces unique transport dynamics not observed in single-particle systems.
The non-monotonic response to driving forces highlights complex energy landscapes and particle interactions.
System parameters offer tunable control over the dimer's collective transport behavior.