论文标题
NMR扩散在限制环境中通过分数Langevin模型接近
NMR diffusion in restricted environment approached by a fractional Langevin model
论文作者
论文摘要
在狭窄的环境中，旋转分子的扩散运动受到很大影响。在核磁共振（NMR）实验中，在磁场梯度的存在下，可以在自旋相中编码该运动，并且可以评估由于扩散而引起的NMR信号衰减。本文通过恒定的梯度时间剖面在高斯相近似（GPA）内通过Langevin随机模型在正常和异常扩散中考虑了这种效果。现象学方法说明了NMR信号中的分数指数衰减的出现，并从Hanh Echo中检索了经典的结果。
The diffusion motion of spin-bearing molecules is considerably affected in confined environments. In Nuclear Magnetic Resonance (NMR) experiments, under the presence of magnetic field gradients, this movement can be encoded in spin phase and the NMR signal attenuation due to diffusion can be evaluated. This paper considered this effect in both normal and anomalous diffusion by means of the Langevin stochastic model within the Gaussian phase approximation (GPA) for a constant gradient temporal profile. The phenomenological approach illustrates the emergence of fractional order exponential decay in the NMR signal and retrieves the classical result from Hanh echo.
