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Updated: Mar 27, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Diffusion of a massive particle in a periodic potential: Application to adiabatic ratchets
Viktor M Rozenbaum1,2,3, Yurii A Makhnovskii1,4, Irina V Shapochkina1,2,5
1Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 106, Taiwan.
Abstract:
We generalize a theory of diffusion of a massive particle by the way in which transport characteristics are described by analytical expressions that formally coincide with those for the overdamped massless case but contain a factor comprising the particle mass which can be calculated in terms of Risken's matrix continued fraction method (MCFM). Using this generalization, we aim to elucidate how large gradients of a periodic potential affect the current in a tilted periodic potential and the average current of adiabatically driven on-off flashing ratchets. For this reason, we perform calculations for a sawtooth potential of the period L with an arbitrary sawtooth length (l
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