Mesoscopic diffusion as a non-Markov process

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 inco...

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Detalhes bibliográficos
Autores: Godoy, S, García-Colin, LS
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1998
País:México
Recursos:Universidad Nacional Autónoma de México
Repositório:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/2750
Acesso em linha:http://hdl.handle.net/11154/2750
Access Level:Acceso aberto
Palavra-chave:Physics, Multidisciplinary
Descrição
Resumo: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. (C) 1998 Elsevier Science B.V. All rights reserved.

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