Group-Theoretical Calculation of the Diffusion Coefficient via the Vacancy-Assisted Mechanism(Condensed Matter : Structure, Mechanical and Thermal Properties)

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概要

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• Lower vacancy-density in a crystalline solid slows down the tracer diffusion via the vacancy-assisted mechanism, which can be modeled by means of particles hopping to their respective nearest-neighbor lattice-sites stochastically with double occupancy prohibited. The explicit expressions of the diffusion coefficient were previously obtained for various lattices in terms of Nakazato and Kitahara's method [Prog. Theor. Phys. 64 (1980) 2261]. This method yields a set of linear simultaneous algebraic equations as many as the number of lattice sites, which is reduced to a simple equation with respect to the diffusion coefficient in the final step of the method. We here give a systematic way of the reduction in terms of the group theory.

• 社団法人日本物理学会の論文
• 2005-09-15

著者

• FUJITANI Youhei

  School of Fundamental Science & Technology, Keio University

• Fujitani Youhei

  Keio Univ. Yokohama

• Okamoto Ryuichi

  School Of Fundamental Science And Technology Keio University

• Okamoto Ryuichi

  Keio Univ. Yokohama

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