Vacancy-Assisted Diffusion in a Honeycomb Lattice and in a Diamond Lattice(Condensed Matter : Structure, Mechanical and Thermal Properties)
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概要
- 論文の詳細を見る
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.
- 社団法人日本物理学会の論文
- 2002-12-15
著者
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FUJITANI Youhei
School of Fundamental Science & Technology, Keio University
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Fujitani Y
Keio Univ. Yokohama
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KITAHARA Kazuo
Department of Applied Physics,Faculty of Science Tokyo Institute of Technology
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Kitahara Kazuo
Department Of Applied Physics Faculty Of Science Tokyo Institute Of Technology
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Suzuki Yohichi
School Of Fundamental Science & Technology Keio University:(present Address)ntt Network Service
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Kitahara Kazuo
Department Of Liberal Arts International Christian University
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KINOUCHI Sumie
Department of Liberal Arts, International Christian University
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Kinouchi S
Department Of Liberal Arts International Christian University:(present Address)department Of Chemist
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