Kinetic or coagulation theories develop all chemical species by the use of an infinite set of kinetic differential equations [1]. The resulting chemical species distribution can be obtained analytically only in the simplest case of random reactions; in some other cases distributions can be obtained numerically; and lastly the solution of the set of equations can also be obtained by Monte Carlo simulation methods. The application of kinetic methods has severe disadvantages: the gel is considered as one giant molecule, and hence cannot generate parts of the structures which are characteristic of the gel; and the equations and methods used are long, unyielding, and not very handy or practical to use. Combination of statistical and kinetic theories in some rare cases solves the problems inherent to the kinetic approach alone. Combination of statistical and kinetic theories also results in systems even more complex and unyielding that kinetic theory treatments alone. This field is not a very successful one. However, it is also in this field that the trend to ever more unwieldy mathematical treatment systems has led to approaches bordering on meaninglessness [12-14]. These are exercises removed from reality [12-14]. These have been developed for many years by groups [12-14] which have not understood that the aim of theories in this field is not to render more difficult but rather to solve everyday applied problems. Not only it is inconvenient to carry around equations half a page or longer as advocated by these groups, but their results cannot be believed either. Thus, these unwieldy methods are not worth further mention here.
Kinetic Methods
29 июня, 2015 Malyar