Critical Behavior of the Generalized Srnoluchovski's Coagulation Equation |
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| Authors: | YU Jiang HU Gang MA Ben-kun |
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| Institution: | 1. Department of Physics, Beijing Normal University, Beijing 100875, China;
2. Center of Theoretical Physics, CCAST (World Laboratory) |
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| Abstract: | The critical behavior of the gelation of polymers is studied by means of the generalized Srnoluchovski's coagulation equation. The exact solution of the kinetic equation with a factorial coagulation rate R(i1, i2, . . . in) = si1 × si2 × . . . × sin and sk = A × k + B is derived for the monodisperse initial condition cm(O) = δm, 1. It is shown that a gelation transition takes place within a finite time tc and the gelation time tc ii characterized by the parameters A and B. |
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