Applied Surface Chemistry, Department of Chemical and Biological Engineering, Chalmers University of Technology, 412 96 Gothenburg, Sweden.
J Magn Reson. 2009 Dec;201(2):205-11. doi: 10.1016/j.jmr.2009.09.010. Epub 2009 Sep 11.
Porous systems are investigated using eigendecomposition of the Laplace matrix. Three parameters; tortuosity, surface-to-pore volume ratio and relaxation rate are derived from the eigenvalue spectrum of the Laplace matrix and connected to the parameters in the Padé approximation, an expression often used to describe the time-dependent diffusion coefficient in porous systems. The Padé length is identified for systems with large pore to connector volume ratio. The results are compared with simulations.
采用特征分解方法研究多孔系统。三个参数：迂曲度、比表面积和弛豫率，是从拉普拉斯矩阵的特征谱中导出的，并与 Padé 逼近的参数相关联，Padé 逼近常用于描述多孔系统中时变扩散系数的表达式。对于具有大孔与连接体体积比的系统，确定了 Padé 长度。结果与模拟结果进行了比较。
