### Abstract

We consider a mean-field density-functional model for three-phase equilibria and wetting. The model features two densities and two control parameters, one of which is related to order parameter asymmetry or spatial anisotropy. The global wetting phase diagram in the space of these two parameters is rich. It features first-order, second-order, continuously-varying- order and infinite-order wetting transitions. The divergence of the wetting layer thickness is usually logarithmic as a function of the distance to the transition, but, in contrast, algebraic upon approach of an infinite-order transition. Further, an approximate interface potential approach is proposed, which allows us to derive analytic predictions for the singular behaviour of thermodynamic functions near wetting, in accordance with accurate numerical computations. It is conjectured that previously developed mean-field models, such as, for example, one for ferromagnets with cubic anisotropy also contain a segment of infinite-order transitions. We speculate that the possibility of varying the spatial anisotropy of the magnetic interaction in these systems might well lead the way towards the first experimental realization of infinite-order wetting.

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

Pages (from-to) | 1297-1311 |

Number of pages | 15 |

Journal | Molecular Physics |

Volume | 109 |

Issue number | 7-10 |

DOIs | |

Publication status | Published - Apr 2011 |

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### Keywords

- Density functional model
- Wetting phase transition

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Condensed Matter Physics
- Biophysics
- Molecular Biology

### Cite this

*Molecular Physics*,

*109*(7-10), 1297-1311. https://doi.org/10.1080/00268976.2011.556095

**Wetting transitions of continuously varying or infinite order from a mean-field density-functional theoryy.** / Koga, Kenichiro; Indekeu, J. O.; Widom, B.

Research output: Contribution to journal › Article

*Molecular Physics*, vol. 109, no. 7-10, pp. 1297-1311. https://doi.org/10.1080/00268976.2011.556095

}

TY - JOUR

T1 - Wetting transitions of continuously varying or infinite order from a mean-field density-functional theoryy

AU - Koga, Kenichiro

AU - Indekeu, J. O.

AU - Widom, B.

PY - 2011/4

Y1 - 2011/4

N2 - We consider a mean-field density-functional model for three-phase equilibria and wetting. The model features two densities and two control parameters, one of which is related to order parameter asymmetry or spatial anisotropy. The global wetting phase diagram in the space of these two parameters is rich. It features first-order, second-order, continuously-varying- order and infinite-order wetting transitions. The divergence of the wetting layer thickness is usually logarithmic as a function of the distance to the transition, but, in contrast, algebraic upon approach of an infinite-order transition. Further, an approximate interface potential approach is proposed, which allows us to derive analytic predictions for the singular behaviour of thermodynamic functions near wetting, in accordance with accurate numerical computations. It is conjectured that previously developed mean-field models, such as, for example, one for ferromagnets with cubic anisotropy also contain a segment of infinite-order transitions. We speculate that the possibility of varying the spatial anisotropy of the magnetic interaction in these systems might well lead the way towards the first experimental realization of infinite-order wetting.

AB - We consider a mean-field density-functional model for three-phase equilibria and wetting. The model features two densities and two control parameters, one of which is related to order parameter asymmetry or spatial anisotropy. The global wetting phase diagram in the space of these two parameters is rich. It features first-order, second-order, continuously-varying- order and infinite-order wetting transitions. The divergence of the wetting layer thickness is usually logarithmic as a function of the distance to the transition, but, in contrast, algebraic upon approach of an infinite-order transition. Further, an approximate interface potential approach is proposed, which allows us to derive analytic predictions for the singular behaviour of thermodynamic functions near wetting, in accordance with accurate numerical computations. It is conjectured that previously developed mean-field models, such as, for example, one for ferromagnets with cubic anisotropy also contain a segment of infinite-order transitions. We speculate that the possibility of varying the spatial anisotropy of the magnetic interaction in these systems might well lead the way towards the first experimental realization of infinite-order wetting.

KW - Density functional model

KW - Wetting phase transition

UR - http://www.scopus.com/inward/record.url?scp=79957791177&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957791177&partnerID=8YFLogxK

U2 - 10.1080/00268976.2011.556095

DO - 10.1080/00268976.2011.556095

M3 - Article

AN - SCOPUS:79957791177

VL - 109

SP - 1297

EP - 1311

JO - Molecular Physics

JF - Molecular Physics

SN - 0026-8976

IS - 7-10

ER -