Y Gabellini and J -L Meunier 1992 J. Phys. A: Math. Gen. 25 3683 doi:10.1088/0305-4470/25/13/018
Y Gabellini and J -L Meunier
Show affiliationsThe authors approximately solve the Smoluchowski equation (discrete version), for gelling and non-gelling systems with finite mass and arbitrary initial conditions for various kernels (additive and multiplicative). They show that the approximate scaling form does not depend on the details of the kernel in contrast with already known results. Numerical simulations are presented which show that the predicted form is valid over a large range of the scaling variable n/s. The critical exponent related to the power law dependence of the distribution is shown to scale rapidly, even with low masses. This could clarify the recent difficulties of the standard theory with both experiments and numerical calculations.
05A15 Exact enumeration problems, generating functions (See also 33Cxx, 33Dxx)
Issue 13 (7 July 1992)
Y Gabellini and J -L Meunier 1992 J. Phys. A: Math. Gen. 25 3683
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