The elastic behavior of entropic "fisherman's net"

O. Farago, Y. Kantor

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A new formalism is used for a Monte Carlo determination of the elastic constants of a two-dimensional net of fixed connectivity. The net is composed of point-like atoms each of which is tethered to six neighbors by a bond limiting the distance between them to a certain maximal separation, but having zero energy at all smaller lengths. We measure the elastic constants for many values of the ratio γ between the maximal and actual extensions of the net. When the net is very stretched (γ ∼ 1), a simple transformation maps the system into a triangular hard disks solid, and we show that the elastic properties of both systems coincide. We also show that the crossover to a Gaussian elastic behavior, expected for the non-stressed net, occurs when the net is looser (γ ∼ 3).

Original languageEnglish
Pages (from-to)253-258
Number of pages6
JournalEuropean Physical Journal E
Volume3
Issue number3
DOIs
StatePublished - 1 Jan 2000
Externally publishedYes

ASJC Scopus subject areas

  • Biotechnology
  • Biophysics
  • General Chemistry
  • General Materials Science
  • Surfaces and Interfaces

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