M. Whittle et E. Dickinson, BROWNIAN DYNAMICS SIMULATION OF GELATION IN SOFT-SPHERE SYSTEMS WITH IRREVERSIBLE BOND FORMATION, Molecular physics, 90(5), 1997, pp. 739-757
Brownian dynamics simulation is used to study the structure and small-
deformation shear rheology of three-dimensional particle gels formed f
rom a model of soft spherical particles incorporating a combination of
flexible, irreversible bond formation and non-bonded interparticle in
teractions. An essential feature of the model is the restriction of an
gular reorganization of cross-linked aggregates during and after gelat
ion. Numerical data relating to the fractal structure and porosity of
the gels are compared with those from some related particle gel simula
tion models in two and three dimensions. Stress relaxation and frequen
cy dependent rheological properties are determined as a function of th
e strength and nature of the interparticle interactions, and the resul
ts are discussed in relation to structural properties. A linear relati
onship is demonstrated between the high-frequency modulus and the numb
er of bonds in the gel network.