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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Integro-differential diffusion equation and neutron scattering experiment
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Integro-differential diffusion equation and neutron scattering experiment

机译:积分-微分扩散方程和中子散射实验

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摘要

An integro-differential diffusion equation with linear force, based on the continuous time random walk model, is considered. The equation generalizes the ordinary and fractional diffusion equations which includes short, intermediate and long-time memory effects. Analytical expression for the intermediate scattering function is obtained and applied to ribonucleic acid (RNA) hydration water data from torula yeast. The model can capture the dynamics of hydrogen atoms in RNA hydration water, including the long-relaxation times.
机译:考虑基于连续时间随机游走模型的线性力积分微分扩散方程。该方程式概括了包括短,中和长时间记忆效应的普通和分数扩散方程式。获得了中间散射函数的分析表达式,并将其应用于来自酵母菌的核糖核酸(RNA)水合水数据。该模型可以捕获RNA水合水中氢原子的动力学,包括较长的松弛时间。

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