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Viscosity critical behaviour at the gel point in a 3d lattice model

2000/01/01 by E. Del Gado, L. de Arcangelis, A. Coniglio · 1 citation
Chemical Engineering · Engineering · Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Phase Equilibria and Thermodynamics #Rheology and Fluid Dynamics Studies #cond-mat.soft

paper · pdf · doi:10.1007/s101890050018

14 pag., RevTex, 9 figures

openalex publication_date 2000/01/01 · arxiv created 2000/02/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Within a recently introduced model based on the bond-fluctuation dynamics we study the viscoelastic behaviour of a polymer solution at the gelation threshold. We here present the results of the numerical simulation of the model on a cubic lattice: the percolation transition, the diffusion properties and the time autocorrelation functions have been studied. From both the diffusion coefficients and the relaxation times critical behaviour a critical exponent k for the viscosity coefficient has been extracted: the two results are comparable within the errors and are in close agreement with the Rouse model prediction and with some experimental results. In the critical region below the transition threshold the time autocorrelation functions show a long time tail which is well fitted by a stretched exponential decay.

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