Tethered networks in two dimensions: A low-temperature view

Paul E. Lammert, Dennis E. Discher

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Perturbation theory and Monte Carlo simulation are applied to the study of low-temperature properties of a triangular phantom network of harmonic springs with nonzero resting length. We determine the equation of state and elastic moduli in the solid (ordered) phase, as well as the location of the solid-liquid phase boundary. A simple explanation is given for negative thermal expansivity. Agreement between two-loop perturbative results and simulation is fairly good, the largest discrepancies being in the location of the phase boundary. An expansion in inverse area, useful for the ordered phase, is also given.

Original languageEnglish (US)
Pages (from-to)4368-4374
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume57
Issue number4
DOIs
StatePublished - Jan 1 1998

Fingerprint

Two Dimensions
solid phases
modulus of elasticity
liquid phases
equations of state
simulation
perturbation theory
harmonics
expansion
Elastic Modulus
Phantom
Equation of State
Perturbation Theory
Discrepancy
Triangular
Monte Carlo Simulation
Harmonic
Liquid
Simulation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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Tethered networks in two dimensions : A low-temperature view. / Lammert, Paul E.; Discher, Dennis E.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 57, No. 4, 01.01.1998, p. 4368-4374.

Research output: Contribution to journalArticle

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