### 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 language | English (US) |
---|---|

Pages (from-to) | 4368-4374 |

Number of pages | 7 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 57 |

Issue number | 4 |

DOIs | |

State | Published - Jan 1 1998 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

}

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 57, no. 4, pp. 4368-4374. https://doi.org/10.1103/PhysRevE.57.4368

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Tethered networks in two dimensions

T2 - A low-temperature view

AU - Lammert, Paul E.

AU - Discher, Dennis E.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4243247265&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243247265&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.57.4368

DO - 10.1103/PhysRevE.57.4368

M3 - Article

AN - SCOPUS:4243247265

VL - 57

SP - 4368

EP - 4374

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

ER -