標題: Matrix-theoretical analysis in the Laplace domain for the time lags and mean first passage times for reaction-diffusion transport
作者: Chen, JS
Chang, WY
交大名義發表
應用化學系
National Chiao Tung University
Department of Applied Chemistry
公開日期: 15-May-1997
摘要: Siegel's matrix analysis of membrane transport in the Laplace domain [J. Phys. Chem. 95, 2556 (1991)], which is restricted to zero initial distribution, has been extended to including the case of nonzero initial distribution. This extension leads to a more general transport equation with Siegel's results as a special case. The new transport equation allows us to formulate the mean-first-passage time (t) over bar for various boundary conditions, if the initial distribution is stipulated to be of the Dirac delta-function type; and the steady-state permeability P and time lag t(L), if zero initial distribution is employed. Based on this matrix analysis we also propose an algorithm for quick and effective numerical computations of P, t(L), and ST Examples are given to demonstrate the application of this algorithm, and the numerical results are compared with the theoretical ones. The validity of the transport equation is also checked by a Green's function. (C) 1997 American Institute of Physics.
URI: http://hdl.handle.net/11536/542
ISSN: 0021-9606
期刊: JOURNAL OF CHEMICAL PHYSICS
Volume: 106
Issue: 19
起始頁: 8022
結束頁: 8029
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