Group-theoretical calculation of the diffusion coefficient via the vacancy-assisted mechanism

Ryuichi Okamoto, Youhei Fujitani

研究成果: Article査読

5 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2510-2516
ページ数7
ジャーナルJournal of the Physical Society of Japan
74
9
DOI
出版ステータスPublished - 2005 9 1

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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