Vacancy-Assisted Diffusion in a Honeycomb Lattice and in a Diamond Lattice

Yohichi Suzuki, Kazuo Kitahara, Youhei Fujitani, Sumie Kinouchi

研究成果: Article査読

8 被引用数 (Scopus)


Vacancy-assisted diffusion in a crystalline solid can be modeled by means of many particles jumping stochastically to their respective nearest-neighbor lattice-sites with double occupancy forbidden. The diffusion coefficient of a tagged particle, defined in terms of its mean square displacement, depends not only on the transition rate but also on the particle concentration. Nakazato and Kitahara [Prog. Theor. Phys. 64 (1980) 2261] devised a projection operator method to calculate its approximate expression interpolating between the low- and high-concentration limits for a square lattice in any dimension. In this paper, we apply their method to a honeycomb lattice and a diamond lattice, in each of which a set of the nearest-neighbor vectors depends on a site from which they originate. Compared with simulation results, our explicit expression is found to give a good interpolation in each lattice unless the host particles migrate more slowly than the tagged particle.

ジャーナルJournal of the Physical Society of Japan
出版ステータスPublished - 2002 12月 1

ASJC Scopus subject areas

  • 物理学および天文学(全般)


「Vacancy-Assisted Diffusion in a Honeycomb Lattice and in a Diamond Lattice」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。