### Abstract

The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations at q = 16 are consistent with the analytic result, obtained in the Hamiltonian limit at large values of q, that W ∝ t^{-1/3} on approach to the bulk critical temperature T_{c}, t = |T_{c} - T|/T_{c}. In addition, the numerical findings allow to estimate corrections to scaling. Our study supports and quantities a previous conclusion by Bricmont and Lebowitz based on low temperature expansions.

Original language | English |
---|---|

Pages (from-to) | 531-543 |

Number of pages | 13 |

Journal | Journal of Statistical Physics |

Volume | 96 |

Issue number | 3-4 |

Publication status | Published - Aug 1999 |

### Fingerprint

### Keywords

- Density-matrix renormalization group
- Hamiltonian limit
- Interfacial adsorption
- Monte carlo simulations
- Potts model

### ASJC Scopus subject areas

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

### Cite this

*Journal of Statistical Physics*,

*96*(3-4), 531-543.

**Interfacial adsorption in two-dimensional potts models.** / Carlon, E.; Iglói, F.; Selke, W.; Szalma, F.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 96, no. 3-4, pp. 531-543.

}

TY - JOUR

T1 - Interfacial adsorption in two-dimensional potts models

AU - Carlon, E.

AU - Iglói, F.

AU - Selke, W.

AU - Szalma, F.

PY - 1999/8

Y1 - 1999/8

N2 - The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations at q = 16 are consistent with the analytic result, obtained in the Hamiltonian limit at large values of q, that W ∝ t-1/3 on approach to the bulk critical temperature Tc, t = |Tc - T|/Tc. In addition, the numerical findings allow to estimate corrections to scaling. Our study supports and quantities a previous conclusion by Bricmont and Lebowitz based on low temperature expansions.

AB - The interfacial adsorption W at the first-order transition in two-dimensional q-state Potts models is studied. In particular, findings of Monte Carlo simulations and of density-matrix renormalization group calculations at q = 16 are consistent with the analytic result, obtained in the Hamiltonian limit at large values of q, that W ∝ t-1/3 on approach to the bulk critical temperature Tc, t = |Tc - T|/Tc. In addition, the numerical findings allow to estimate corrections to scaling. Our study supports and quantities a previous conclusion by Bricmont and Lebowitz based on low temperature expansions.

KW - Density-matrix renormalization group

KW - Hamiltonian limit

KW - Interfacial adsorption

KW - Monte carlo simulations

KW - Potts model

UR - http://www.scopus.com/inward/record.url?scp=0033245974&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033245974&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033245974

VL - 96

SP - 531

EP - 543

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -