Entropic elasticity of phantom percolation networks

O. Farago, Y. Kantor

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


A new method is used to measure the stress and elastic constants of purely entropic phantom networks, in which a fraction p of neighbors are tethered by inextensible bonds. We find that close to the percolation threshold pc the shear modulus behaves as (p-pc)f, where the exponent f ≈ 1.35 in two dimensions, and f ≈ 1.95 in three dimensions, close to the corresponding values of the conductivity exponent in random resistor networks. The components of the stiffness tensor (elastic constants) of the spanning cluster follow a power law ∼ (p - pc)g with an exponent g ≈ 2.0 and 2.6 in two and three dimensions, respectively.

Original languageEnglish
Pages (from-to)413-419
Number of pages7
Issue number4
StatePublished - 11 Nov 2000
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


Dive into the research topics of 'Entropic elasticity of phantom percolation networks'. Together they form a unique fingerprint.

Cite this