### Abstract

An equilibrium random surface multistep height model proposed in is studied using a variant of the worm algorithm. In one limit, the model reduces to the two-dimensional Ising model in the height representation. When the Ising model constraint of single height steps is relaxed, the critical temperature and critical exponents are continuously varying functions of the parameter controlling height steps larger than one. Numerical estimates of the critical exponents can be mapped via a single parameter, the Coulomb gas coupling, to the exponents of the O(n) loop model on the honeycomb lattice with n≤1.

Original language | English (US) |
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Article number | 061104 |

Journal | Physical Review E |

Volume | 85 |

Issue number | 6 |

DOIs | |

State | Published - Jun 4 2012 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review E*,

*85*(6), [061104]. https://doi.org/10.1103/PhysRevE.85.061104

**Computational study of a multistep height model.** / Drake, Matthew; MacHta, Jonathan; Deng, Youjin; Abraham, Douglas; Newman, Charles.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 85, no. 6, 061104. https://doi.org/10.1103/PhysRevE.85.061104

}

TY - JOUR

T1 - Computational study of a multistep height model

AU - Drake, Matthew

AU - MacHta, Jonathan

AU - Deng, Youjin

AU - Abraham, Douglas

AU - Newman, Charles

PY - 2012/6/4

Y1 - 2012/6/4

N2 - An equilibrium random surface multistep height model proposed in is studied using a variant of the worm algorithm. In one limit, the model reduces to the two-dimensional Ising model in the height representation. When the Ising model constraint of single height steps is relaxed, the critical temperature and critical exponents are continuously varying functions of the parameter controlling height steps larger than one. Numerical estimates of the critical exponents can be mapped via a single parameter, the Coulomb gas coupling, to the exponents of the O(n) loop model on the honeycomb lattice with n≤1.

AB - An equilibrium random surface multistep height model proposed in is studied using a variant of the worm algorithm. In one limit, the model reduces to the two-dimensional Ising model in the height representation. When the Ising model constraint of single height steps is relaxed, the critical temperature and critical exponents are continuously varying functions of the parameter controlling height steps larger than one. Numerical estimates of the critical exponents can be mapped via a single parameter, the Coulomb gas coupling, to the exponents of the O(n) loop model on the honeycomb lattice with n≤1.

UR - http://www.scopus.com/inward/record.url?scp=84862199542&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84862199542&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.85.061104

DO - 10.1103/PhysRevE.85.061104

M3 - Article

VL - 85

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

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

SN - 1063-651X

IS - 6

M1 - 061104

ER -