Diffusion and reaction among traps: some theoretical and simulation results
Diffusion and reaction among traps: some theoretical and simulation results
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陷阱之间的扩散和反应：一些理论和模拟结果
DOI：
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发表时间：
1991
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通讯作者：
S. Torquato
中科院分区：
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作者：
S. Torquato
非均匀介质中的扩散和反应是物理和生物科学中的一系列现象。平均生存时间τ的测定（即，反捕获率）和弛豫时间Tn，n= 1，2，3，. (i.e.,逆特征值），与具有表面速率常数k的部分吸收静态陷阱之间的扩散相关联，是长期感兴趣的问题。极限sk =∞和k =0对应于扩散控制的情况（即，理想吸收体）和反应控制的情况（即，完美的反射器）。本文综述了我们在这一问题的几个基本方面所取得的进展：（i）使人们能够估计平均存活时间τ和主弛豫时间T1的严格键合技术和计算方法的制定;（ii）非平凡连续体（即，非晶格）模型的非均匀介质;和（iii）评估τ和T1相同的模型。我们还描述了一个严格的平均生存时间t和不同的有效参数的系统，即流体渗透率张量与斯托克斯流通过相同的多孔介质之间的联系。
Diffusion and reaction in heterogeneous media arise in a host of phenomena in the physical and biological sciences. The determination of the mean survival timeτ (i.e., inverse trapping rate) and relaxation timesTn, n=1,2,3,... (i.e., inverse eigenvalues), associated with diffusion among partially absorbing, static traps with surface rate constantk are problems of long-standing interest. The limitsk=∞ andk=0 correspond to the diffusion-controlled case (i.e., perfect absorbers) and reaction-controlled case (i.e., perfect reflectors), respectively. This paper reviews progress we have made on several basic aspects of this problem: (i) the formulation of rigorous bonding techniques and computational methodologies that enable one to estimate the mean survival time τ and principal relaxation timeT1 (ii) the quantitative characterization of the microstructure of nontrivial continuum (i.e., off-lattice) models of heterogeneous media; and (iii) evaluation of τ and T1 for the same models. We also describe a rigorous link between the mean survival time t and a different effective parameter of the system, namely the fluid permeability tensork associated with Stokes flow through the same porous medium.