Statistical Properties of Self-Diffusion in AgI in a Classically Mesoscopic Regime.

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  • Goda Masaki
    Graduate School of Science and Technology, Niigata University, Niigata 950–21
  • Okabe Tsuneyasu
    Graduate School of Science and Technology, Niigata University, Niigata 950–21
  • Yamada Hiroaki
    Graduate School of Science and Technology, Niigata University, Niigata 950–21
  • Kobayashi Michisuke
    Graduate School of Science and Technology, Niigata University, Niigata 950–21

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  • Statistical Properties of Self Diffusio

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The distribution p(x, t) of time-developing Cartesian component of particle displacement, x=x(t)-x(0), starting from δ-function is studied extensively in a superionic conductor AgI in a classically mesoscopic regime using the method of molecular dynamics calculation. The distribution law is modified from that of the Gaussian process, and is found to have the form p(x, t)∝ exp {-axβ /tα }, (a>0, 0 ≤ α ≤ 1, 0 < β ≤ 2), in a thermal equilibrium state. Despite of this generalized distribution law, the mean square displacement ‹ r2› , (t)∝ t2α /β seems to be t-linear, i.e., 2α /β ≅ 1, in the molten and/or α phase. At the melting point or the superionic transition point, two different distributions of this type seem to compete with each other.

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