TY - JOUR
T1 - On the theory of reactions in continuous mixtures
JF - Philosophical Transactions of the Royal Society of London. Series A,
Mathematical and Physical Sciences
JO - Philos Trans R Soc Lond A
SP - 351
LP - 393
M3 - 10.1098/rsta.1966.0054
VL - 260
IS - 1112
AU -
AU -
Y1 - 1966/09/01
UR - http://rsta.royalsocietypublishing.org/content/260/1112/351.abstract
N2 - A mixture with a very large number of components approaches the condition of a continuous mixture in which the components are not distinguished by a discrete index but by a continuous variable. Such a mixture can be described by distributions of concentration and is capable of sustaining an infinite number of reactions. Polymerization and cracking reactions can be treated in this way and there may be applications to the very complex processes of biology. The aim of this paper is to lay the foundations for the stoicheiometry, thermodynamics and kinetics of such reactions and to outline several techniques for solving the resulting integro-differential equations. Attention is also paid to the problem of fitting the parameters of such a model to experimental data.
ER -