TCB Publications - Abstract

James Phillips and Klaus Schulten. Modeling AFM tip dynamics through diffusion in time-periodic potentials. Beckman Institute Technical Report TB-95-03, University of Illinois, 1995.

PHIL95 We consider the case of a chemically active AFM tip experiencing a bistable potential near a substrate while being driven by a periodic force of frequency $\omega$. The average position of such a tip traces a hysteretic loop which encircles an area $\pi H(\Omega)$, which can reveal information on the tip-substrate interaction and on tip friction. We model this situation via a Smoluchowski diffusion equation and provide numerical results as well as construct asymptotic expansions for $H(\Omega)$ in the limits of high and low frequency.

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