Premium
Gelation as a percolation problem with finite diffusion
Author(s) -
Rosche Matthias,
Schulz Michael
Publication year - 1993
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.1993.040020306
Subject(s) - percolation critical exponents , percolation threshold , percolation (cognitive psychology) , directed percolation , percolation theory , statistical physics , diffusion , critical exponent , lattice (music) , diffusion process , representation (politics) , exponent , condensed matter physics , thermodynamics , mathematics , physics , materials science , combinatorics , quantum mechanics , computer science , topology (electrical circuits) , phase transition , innovation diffusion , law , philosophy , electrical resistivity and conductivity , knowledge management , linguistics , acoustics , biology , political science , neuroscience , politics
The formation of polymer networks (gelation process) was studied by a numerical simulation of a lattice spin model with 3 states, which allows the representation of simple diffusion and aggregation processes. Near the percolation threshold, p c , the same critical exponents were detected as in the usual diffusion‐free classical percolation theory. Only non‐universal values (for example p c ) show a significant dependence on the ratio between diffusion and reaction constants.