article · 19/10/2012
Reaction kinetics of A plus B -> 0
Résumé
A method to find the exact reaction rate density function of an A + B -> 0 reaction on a finite 1D bar is derived. We consider the case where the A and B species diffuse at the same rate, have equal initial numbers, with the initial location of either species on the bar being arbitrary. The extension of the method to study A + B -> 0 on fractals is also shown. Additionally, we introduce the notion of a continual (in time) reaction front and a ceasing (in time) reaction front and provide a physical criterion for when either occurs.
Citer cet article
Haynes, C.-P., Voituriez, R., & Benichou, O. (2012). Reaction kinetics of A plus B -> 0. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45(41). https://doi.org/10.1088/1751-8113/45/41/415001@article{Haynes2012_241,
author = {Haynes, C. P. and Voituriez, R. and Benichou, O.},
year = {2012},
month = {10},
title = {Reaction kinetics of A plus B -> 0},
journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
volume = {45},
number = {41},
abstract = {A method to find the exact reaction rate density function of an A + B -> 0 reaction on a finite 1D bar is derived. We consider the case where the A and B species diffuse at the same rate, have equal initial numbers, with the initial location of either species on the bar being arbitrary. The extension of the method to study A + B -> 0 on fractals is also shown. Additionally, we introduce the notion of a continual (in time) reaction front and a ceasing (in time) reaction front and provide a physical criterion for when either occurs.},
url = {http://www.dx.doi.org/10.1088/1751-8113/45/41/415001},
doi = {10.1088/1751-8113/45/41/415001},
issn = {1751-8113},
}TY - JOUR
AU - Haynes, C. P.
AU - Voituriez, R.
AU - Benichou, O.
PY - 2012
DA - 2012/10/19
TI - Reaction kinetics of A plus B -> 0
JO - JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
VL - 45
IS - 41
SN - 1751-8113
AB - A method to find the exact reaction rate density function of an A + B -> 0 reaction on a finite 1D bar is derived. We consider the case where the A and B species diffuse at the same rate, have equal initial numbers, with the initial location of either species on the bar being arbitrary. The extension of the method to study A + B -> 0 on fractals is also shown. Additionally, we introduce the notion of a continual (in time) reaction front and a ceasing (in time) reaction front and provide a physical criterion for when either occurs.
DO - 10.1088/1751-8113/45/41/415001
UR - http://www.dx.doi.org/10.1088/1751-8113/45/41/415001
ER -