### Abstract

An exact calculation of the phase diagram for a loop-gas model on the brickwork lattice is presented. The model includes a bending energy. In the dense limit, where all the lattice sites are occupied, a phase transition occurring at an asymmetric Lifshitz tricritical point is observed as the temperature associated with the bending energy is varied. Various critical exponents are calculated. At lower densities, two lines of transitions (in the Ising universality class) are observed, terminated by a tricritical point, where there is a change in the modulation of the correlation function. To each tricritical point an associated disorder line is found.

Original language | English |
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Pages (from-to) | 1685-1694 |

Number of pages | 10 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 31 |

Issue number | 7 |

DOIs | |

Publication status | Published - 20 Feb 1998 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*31*(7), 1685-1694. https://doi.org/10.1088/0305-4470/31/7/005

**Gas of self-avoiding loops on the brickwork lattice.** / Eghbal, F.; Foster, D. P.; Orland, H.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 31, no. 7, pp. 1685-1694. https://doi.org/10.1088/0305-4470/31/7/005

}

TY - JOUR

T1 - Gas of self-avoiding loops on the brickwork lattice

AU - Eghbal, F.

AU - Foster, D. P.

AU - Orland, H.

PY - 1998/2/20

Y1 - 1998/2/20

N2 - An exact calculation of the phase diagram for a loop-gas model on the brickwork lattice is presented. The model includes a bending energy. In the dense limit, where all the lattice sites are occupied, a phase transition occurring at an asymmetric Lifshitz tricritical point is observed as the temperature associated with the bending energy is varied. Various critical exponents are calculated. At lower densities, two lines of transitions (in the Ising universality class) are observed, terminated by a tricritical point, where there is a change in the modulation of the correlation function. To each tricritical point an associated disorder line is found.

AB - An exact calculation of the phase diagram for a loop-gas model on the brickwork lattice is presented. The model includes a bending energy. In the dense limit, where all the lattice sites are occupied, a phase transition occurring at an asymmetric Lifshitz tricritical point is observed as the temperature associated with the bending energy is varied. Various critical exponents are calculated. At lower densities, two lines of transitions (in the Ising universality class) are observed, terminated by a tricritical point, where there is a change in the modulation of the correlation function. To each tricritical point an associated disorder line is found.

U2 - 10.1088/0305-4470/31/7/005

DO - 10.1088/0305-4470/31/7/005

M3 - Article

VL - 31

SP - 1685

EP - 1694

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 7

ER -