### Abstract

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with short-range forces and a two-component order parameter. Using linear functional renormalization group calculations within a local interface Hamiltonian approach, we show that the infinite-order transitions are robust. The exponential singularity (implying 2-α_{s}=∞) of the surface free energy excess at infinite-order wetting as well as the precise algebraic divergence (with β_{s}=-1) of the wetting layer thickness are not modified as long as ωâŠ¥=1/2). In contrast, the nonuniversal critical wetting transitions of finite but continuously varying order are modified when thermal fluctuations are taken into account, in line with predictions from earlier calculations on similar models displaying weak, intermediate, and strong fluctuation regimes.

Original language | English |
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Article number | 022122 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 88 |

Issue number | 2 |

DOIs | |

Publication status | Published - Aug 13 2013 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*88*(2), [022122]. https://doi.org/10.1103/PhysRevE.88.022122

**Renormalization group calculations for wetting transitions of infinite order and continuously varying order : Local interface Hamiltonian approach.** / Indekeu, J. O.; Koga, Kenichiro; Hooyberghs, H.; Parry, A. O.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 88, no. 2, 022122. https://doi.org/10.1103/PhysRevE.88.022122

}

TY - JOUR

T1 - Renormalization group calculations for wetting transitions of infinite order and continuously varying order

T2 - Local interface Hamiltonian approach

AU - Indekeu, J. O.

AU - Koga, Kenichiro

AU - Hooyberghs, H.

AU - Parry, A. O.

PY - 2013/8/13

Y1 - 2013/8/13

N2 - We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with short-range forces and a two-component order parameter. Using linear functional renormalization group calculations within a local interface Hamiltonian approach, we show that the infinite-order transitions are robust. The exponential singularity (implying 2-αs=∞) of the surface free energy excess at infinite-order wetting as well as the precise algebraic divergence (with βs=-1) of the wetting layer thickness are not modified as long as ωâŠ¥=1/2). In contrast, the nonuniversal critical wetting transitions of finite but continuously varying order are modified when thermal fluctuations are taken into account, in line with predictions from earlier calculations on similar models displaying weak, intermediate, and strong fluctuation regimes.

AB - We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with short-range forces and a two-component order parameter. Using linear functional renormalization group calculations within a local interface Hamiltonian approach, we show that the infinite-order transitions are robust. The exponential singularity (implying 2-αs=∞) of the surface free energy excess at infinite-order wetting as well as the precise algebraic divergence (with βs=-1) of the wetting layer thickness are not modified as long as ωâŠ¥=1/2). In contrast, the nonuniversal critical wetting transitions of finite but continuously varying order are modified when thermal fluctuations are taken into account, in line with predictions from earlier calculations on similar models displaying weak, intermediate, and strong fluctuation regimes.

UR - http://www.scopus.com/inward/record.url?scp=84883876741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883876741&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.88.022122

DO - 10.1103/PhysRevE.88.022122

M3 - Article

AN - SCOPUS:84883876741

VL - 88

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 022122

ER -