Tethered networks in two dimensions: A low-temperature view

Paul E. Lammert, Dennis E. Discher

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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
Issue number4
StatePublished - 1998

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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