Exact and Approximate Properties of Ion Hopping Conduction in Random Systems(Condensed matter: structure and mechanical and thermal properties)

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概要

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• Dynamic behavior of the conductivity by hopping of ideal lattice-gas ions is theoretically investigated in 1- to 3-dimensional random lattices, on the basis of the relaxation mode theory. The exactly obtained expression of the conductivity leads to the formula at infinite frequency ω=∞. In addition, two scaling frequencies ω_2 and ω_3, are proposed and approximately derived. It is numerically shown that the normalized conductivity σ(ω) scales as σ(ω)=f(ω/ω_2) at lower temperatures, while at higher temperatures it does as σ(ω)=f(ω/ω_3), irrespective of temperature and dimension. These conductivities result in a master envelope curve, which is the so-called universality.

• 社団法人日本物理学会の論文
• 2007-02-15

著者

• Ishii Tadao

  Graduate School Of Natural Science And Technology Okayama University

• Matsumoto Eiji

  Graduate School Of Environmental Studies Nagoya University

• Matsumoto Eiji

  Graduate School Of Natural Science And Technology Okayama University

• Ishii Tadao

  Graduate School of Natural Science and Technology, Okayama University

• MATSUMOTO Eiji

  Graduate School of Energy Science, Kyoto University

関連論文

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• Exact and Approximate Properties of Ion Hopping Conduction in Random Systems(Condensed matter: structure and mechanical and thermal properties)
• Investigations of Ion-Hopping Conduction by Effective Medium Approximation(Condensed matter: structure and mechanical and thermal properties)

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