Dynamic scaling and spontaneous symmetry breaking at the gel point

Nigel Goldenfeld, Paul Goldbart

Research output: Contribution to journalArticlepeer-review

Abstract

The gel point is a continuous transition between fluid and solid states, and therefore exhibits a variety of scaling laws for the linear viscoelastic behavior. These are derived, together with a scaling law for the nonlinear shear relaxation modulus and a sum rule, valid in both fluid and solid states, which has a counterpart in superconductivity. Our results are generic consequences of both dynamic critical phenomena and spontaneous symmetry breaking, and therefore are not equivalent to some previous predictions, based on an analogy with percolation.

Original languageEnglish (US)
Pages (from-to)R5343-R5346
JournalPhysical Review A
Volume45
Issue number8
DOIs
StatePublished - 1992

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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