Diffusion and reaction among traps: Some theoretical and simulation results

Conference · Sun Dec 01 04:00:00 EST 1991 · Journal of Statistical Physics; (United States)

OSTI ID:6971697

Torquato, S ^[1]

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1. New York Univ., New York (United States)

Diffusion and reaction in heterogeneous media arise in a host of phenomena in the physical and biological sciences. The determination of the mean survival time {tau} (i.e., inverse trapping rate) and relaxation times T{sub n}, n = 1, 2, 3,{hor ellipsis} (i.e., inverse eigenvalues), associated with diffusion among partially absorbing, static traps with surface rate constant {kappa} are problems of long-standing interest. The limits {kappa} = {infinity} and {kappa} = 0 correspond to the diffusion-controlled case (i.e., perfect absorbers) and reaction-controlled case (i.e., perfect reflectors), respectively. This paper reviews progress the author has made on several basic aspects of this problem: (1) the formulation of rigorous bonding techniques and computational methodologies that enable one to estimate the mean survival time {tau} and principal relaxation time T{sub 1}; (2) the quantitative characterization of the microstructure of nontrivial continuum (i.e., off-lattice) models of heterogeneous media; and (3) evaluation of {tau} and T{sub 1} for the same models. The author also describes a rigorous link between the mean survival time {tau} and a different effective parameter of the system, namely the fluid permeability tensor k associated with Stokes flow through the same porous medium. 55 refs., 10 figs., 1 tab.

• DOE Contract Number: FG03-88ER13842
• OSTI ID: 6971697
• Report Number(s): CONF-9103261--
• Conference Information: Journal Name: Journal of Statistical Physics; (United States) Journal Volume: 65:5-6
• Country of Publication: United States
• Language: English

Related Subjects

664100 -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
665000* -- Physics of Condensed Matter-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BIOLOGICAL MATERIALS
CATALYSIS
DIFFUSION
HETEROGENEOUS CATALYSIS
KINETICS
MATERIALS
PERMEABILITY
POROUS MATERIALS
REACTION KINETICS
STOKES LAW
TIME DEPENDENCE
TRAPS