Viscosity critical behaviour at the gel point in a 3d lattice model |
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Authors: | E Del Gado L de Arcangelis A Coniglio |
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Institution: | (1) Dipartimento di Scienze Fisiche, Università di Napoli “Federico II”, INFM Sezione di Napoli, Mostra d'Oltremare pad. 19, 80125 Napoli, Italy, IT;(2) Dipartimento di Ingegneria dell'Informazione, Seconda Università di Napoli, INFM Sezione di Napoli, via Roma 29, 81031 Aversa (Caserta), Italy, IT |
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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 giving , 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.
Received 20 December 1999 and Received in final form 18 February 2000 |
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Keywords: | PACS 05 20 -y Classical statistical mechanics – 82 70 Gg gels and sols – 83 10 Nn Polymer dynamics |
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