SCALE-INVARIANCE IN BIASED DIFFUSION

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題名:	SCALE-INVARIANCE IN BIASED DIFFUSION
作者:	CHEUNG,KW;YU,KW;HUI,PM
貢獻者:	物理研究所
關鍵詞:	HOPPING CONDUCTIVITY;ELECTRIC-FIELD;ONE DIMENSION;SYSTEMS
日期:	1992
上傳時間:	2010-07-08 14:13:28 (UTC+8)
出版者:	中央大學
摘要:	We have studied hopping transport on a one-dimensional disordered chain in which the hopping rates are characterized by scale-invariant distributions. As a model for dispersive transport, the distribution contains a large weight of small hopping rates. Emphasis has been placed on the range dependence of the diffusion coefficient D(L) approximately L(-theta) and the frequency dependence of the electrical conductivity sigma(omega) approximately omega(x), with x = theta/(2 + theta), so that comparison with conductivity experiments can be made. In the presence of a biased electric field, the frequency dependence of the conductivity sigma(omega)) is found to cross over from omega(x) (diffusive limit) to omega(y) with y = theta/(1 + theta) (drift limit). The transport exponents are calculated explicitly in terms of the parameters of the distribution. Numerical simulations have also been carried out to confirm the above scaling results. Excellent agreement is found.
關聯:	PHYSICAL REVIEW B
顯示於類別:	[物理研究所] 期刊論文

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