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-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 ω⊥=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 |
|---|---|
| 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
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.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 88, No. 2, 022122, 13.08.2013.Research output: Contribution to journal › Article
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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 ω⊥=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 ω⊥=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
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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 -