RT Journal Article
SR Electronic
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
FD The Royal Society
SP 351
OP 393
DO 10.1098/rsta.1966.0054
VO 260
IS 1112
A1
A1
YR 1966
UL http://rsta.royalsocietypublishing.org/content/260/1112/351.abstract
AB 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.