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首页> 外文期刊>Japanese Journal of Applied Physics. Part 2, Letters & Express Letters >Relationship between Mobility and Diffusion Coefficient in Molecularly Doped Polymers
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Relationship between Mobility and Diffusion Coefficient in Molecularly Doped Polymers

机译：分子掺杂聚合物的迁移率与扩散系数之间的关系

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摘要

A theoretical photocurrent transient equation for a thin or thick sample was derived from the charge transport equation. This equation has been fitted to measured photocurrent transients of molecularly doped polymers in order to obtain the actual relationship between the mobility (μ) and the diffusion coefficient (D). The relationship between the mobility and the diffusion coefficient has been derived from the Langevin equation which takes into account the random electric field resulting from the randomly located and the randomly oriented electric dipoles. A time correlation function of the fluctuating electric field necessary for calculating the diffusion coefficient is assumed to be 2σ_E~2 exp(—|t|/τ), where σ_E is the dispersion of the fluctuating electric field, which is proportional to the electric dipole moment, and τ is the correlation time of the electric field fluctuation. The result, D = τσ_E~2μ~2, was consistent with the actual relation, D ∝ μ~2.
机译：从电荷传输方程中得出了稀薄样品或厚样品的理论光电流瞬变方程。为了获得迁移率（μ）和扩散系数（D）之间的实际关系，已将该方程拟合到分子掺杂聚合物的测量的光电流瞬态。迁移率和扩散系数之间的关系已从Langevin方程推导，该方程考虑了由随机定位和随机定向的电偶极子产生的随机电场。假设计算扩散系数所需的波动电场的时间相关函数为2σ_E〜2 exp（-| t | /τ），其中σ_E是波动电场的离散度，与电偶极子成比例τ是电场波动的相关时间。结果D =τσ_E〜2μ〜2与实际关系D ∝μ〜2一致。

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