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Abstract
We present a numerical study of classical particles obeying a Langevin equation and moving on a solid crystalline surface under an external force that may either be constant or modulated by periodic oscillations. We focus on the particle drift velocity and diffusion. The roles of friction and equilibrium thermal fluctuations are studied for two nonlinear dynamical regimes corresponding to low and to high but finite friction. We identify a number of resonances and antiresonances, and provide phenomenological interpretations of the observed behaviour.
Highlights
V(x, y) of characteristic length scale λ driven by an external force F (t) in the presence of thermal noise and the associated dissipation
We have investigated the behaviour of an ensemble of particles in a two-dimensional potential subject to thermal fluctuations and external constant and oscillatory forces
Our description is based on ordinary Langevin dynamics and the focus has been on the effects of friction and temperature on the dynamics
Summary
We consider the transport and diffusion properties of our particles on a periodic surface subject to an external force F0 along the x-direction.
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