Universal scaling for diffusion-controlled reactions among traps

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.473941· OSTI ID:496672

Torquato, S; Yeong, C L ^[1]

---

1. Princeton Materials Institute and Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08540 (United States)

The determination of the mean survival time {tau} (i.e., inverse reaction rate) associated with diffusion-controlled reactions among static traps is a problem of long-standing interest, dating back to the classical work of Smoluchkowski. For the broad class of model particulate- and digitized-based models considered here, we find a universal curve for the mean survival time {tau} for a wide range of porosities. The functional form of this universal scaling relation is motivated by rigorous bounds on {tau} and is expressible as a simple function of porosity, specific surface, and mean pore size. {copyright} {ital 1997 American Institute of Physics.}

• DOE Contract Number: FG02-92ER14275
• OSTI ID: 496672
• Journal Information: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 21 Vol. 106; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

40 CHEMISTRY
BOUNDARY CONDITIONS
CHEMICAL REACTION KINETICS
CHEMICAL REACTIONS
CONTROL
DIFFUSION
HETEROGENEOUS EFFECTS
POROSITY
SCALING LAWS
TRAPS