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TMF, 1982, Volume 50, Number 1, Pages 127–145 (Mi tmf2098)  

This article is cited in 1 scientific paper (total in 1 paper)

Statistical theory of diffusion. Quantum states, configurational shape of a potential, and two types of noncoherent transitions of a hydrogen atom in metals

Yu. A. Kashlev, G. S. Solov'ev


Abstract: The configurational shape of the potential of a light atom (hydrogen) in metals with bcc lattice is calculated using the methods of many-electron theory. It is shown that localized states of the proton are formed by local displacements of the atoms of the crystal, whereas in a “rigid” lattice the quantum states are delocalized in a time of the order of the ocsillation period of the proton. Two types of noncoherent transport of the hydrogen atom – “active” and “passive” hops – are investigated by means of data on the quantum states. It is shown that the rate of high-temperature noncoherent hopping of a light atom (“active” hopping) is determined by three processes: thermal activation, tunneling accompanied by motion of the deformation cloud, and intrasite transitions of the hydrogen due to two-phonon scattering. It is shown that the observed inflection in the temperature dependence of the activation energy is due to a change in the mechanism of the elementary hydrogen diffusion process, namely, the transition from passive to active transport.

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English version:
Theoretical and Mathematical Physics, 1982, 50:1, 81–93

Bibliographic databases:

Received: 05.11.1980

Citation: Yu. A. Kashlev, G. S. Solov'ev, “Statistical theory of diffusion. Quantum states, configurational shape of a potential, and two types of noncoherent transitions of a hydrogen atom in metals”, TMF, 50:1 (1982), 127–145; Theoret. and Math. Phys., 50:1 (1982), 81–93

Citation in format AMSBIB
\Bibitem{KasSol82}
\by Yu.~A.~Kashlev, G.~S.~Solov'ev
\paper Statistical theory of diffusion. Quantum states, configurational shape of a~potential, and two types of noncoherent transitions of a~hydrogen atom in metals
\jour TMF
\yr 1982
\vol 50
\issue 1
\pages 127--145
\mathnet{http://mi.mathnet.ru/tmf2098}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 50
\issue 1
\pages 81--93
\crossref{https://doi.org/10.1007/BF01027609}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PG54200007}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. A. Kashlev, N. M. Sadykov, “Nonequilibrium statistical thermodynamics of channeled particles: Thermal particles”, Theoret. and Math. Phys., 116:3 (1998), 1083–1093  mathnet  crossref  crossref  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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