1988
DOI: 10.1103/physrevlett.61.2620
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Viscoelasticity of Near-Critical Gels

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Cited by 303 publications
(267 citation statements)
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“…This value is quite close to the one experimentally measured in silica gels [7,19] and interestingly these systems are characterized by a polyfunctional condensation mechanism with tetrafunctional monomers, which is actually very similar to the case simulated here. This result is also close to the value obtained by recent accurate measurements in PDMS [3].…”
supporting
confidence: 75%
See 1 more Smart Citation
“…This value is quite close to the one experimentally measured in silica gels [7,19] and interestingly these systems are characterized by a polyfunctional condensation mechanism with tetrafunctional monomers, which is actually very similar to the case simulated here. This result is also close to the value obtained by recent accurate measurements in PDMS [3].…”
supporting
confidence: 75%
“…Within the study of diffusion properties in the system an interesting picture is obtained with a simple scaling argument on the diffusion coefficients as presented in [19]: the sol at the sol-gel transition is a heteregenous medium formed by the solvent and all the other clusters 1 The same agreement with the random percolation critical exponents has already been obtained in the d = 2 version of the model [18]. Here it is worth to mention that this case on a cubic lattice with monomer functionality f = 4 is rather the problem of a restricted valence percolation.…”
mentioning
confidence: 99%
“…In focusing on the small displacements associated with the relaxation of structure and stress, the coupling of the motion of different clusters is neglected. Such coupling is described in the gel transition by Martin et al (35,36) in which a cluster of size R diffuses in a medium whose viscosity has contributions from the clusters of size less than R and whose confinement is determined by clusters of size greater than R. Within the constraint network picture, an explicit, but partial, treatment of collective motion and its cooperative character emerges quite naturally. Collective motions arise here because constraints induce local rigidity, which compels a group of particles to move as one while pivots link these clusters so that motion of one can only occur with the cooperative motion of the other clusters in the pivot group.…”
Section: Discussionmentioning
confidence: 99%
“…8,9 Rubinstein et al 21 applied this dynamic scaling theory to dynamic moduli data of several stopped samples from condensation of diesters with alcohol. The theory, with its prediction of a constant n value, does not result in particularly good agreement between model and experimental data.…”
Section: Discussionmentioning
confidence: 99%
“…Due to the critical nature of the liquid-solid transition, transient rheological properties such as zero-shear viscosity and equilibrium modulus show a distinct scaling behavior in the vicinity of the gel point: 5,6 Dynamic scaling based on percolation theory [7][8][9] predicts different values for s and z, depending on the specific model assumption. Martin and Adolf 10 report n ) 2 / 3 , s ) 4 / 3 , and z ) 8 / 3 in the case of Rouse behavior (complete screening of hydrodynamic interactions), n ) 1, s ) 0, and z ) 8 / 3 for Zimm behavior (hydrodynamic interactions included), and n ) 0.71, s ) 0.75, and z ) 1.94 if the electrical network analogy introduced by de Gennes 11 is used.…”
Section: Introductionmentioning
confidence: 99%