Mesoscopic diffusion as a non-Markov process

Salvador Godoy and L.S. Garcı́a-Colı́n

Physica A: Statistical Mechanics and its Applications, 1998, vol. 258, issue 3, 414-428

Abstract: We use both classical and quantum S-matrix theories to derive expressions for the ballistic diffusion current of a 1D mesoscopic crystalline solid. For both theories, we get the same local Fick’s law, thus proving that local Fick’s law and its associate local diffusion coefficient are incoherent results. The non-local Landauer diffusion coefficient is an incoherent result valid only for solids with a length larger than the coherence length. For solids with a length less than the coherence length, we show that quantum interference gives a new contribution for the non-local diffusion coefficient.

Date: 1998
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:258:y:1998:i:3:p:414-428

DOI: 10.1016/S0378-4371(98)00217-9

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