Renormalization group calculations for wetting transitions of infinite order and continuously varying order: Local interface Hamiltonian approach

Renormalization group calculations for wetting transitions of infinite order and continuously varying order: Local interface Hamiltonian approach
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无限阶和连续变阶润湿转变的重正化群计算:局部界面哈密顿方法

DOI:
10.1103/physreve.88.022122
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发表时间:
2013
期刊:
影响因子:
2.4
通讯作者:
A.O. Parry
A.O. Parry
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
J.O. Indekeu;K. Koga;Hans Hooyberghs;A.O. Parry

文献摘要

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我们研究的润湿相变的无限顺序和连续变化的顺序,最近发现在一个平均场密度泛函模型的三相平衡系统与短程力和两个组件的序参数的热波动的影响。使用线性泛函重整化群计算内的局部界面哈密顿方法,我们表明,无限阶跃迁是强大的。指数奇异性(暗示)的表面自由能过剩在无限阶润湿以及精确的代数发散(与)的润湿层厚度不修改,只要,与无量纲润湿参数,测量热波动的强度。界面宽度代数地和泛地发散。相比之下,非通用的临界润湿过渡有限,但连续变化的顺序进行修改时,考虑到热波动,在早期的类似模型显示弱,中间,和强波动制度的计算预测。
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) of the surface free energy excess at infinite-order wetting as well as the precise algebraic divergence (with) of the wetting layer thickness are not modified as long as, withthe dimensionless wetting parameter that measures the strength of thermal fluctuations. The interface width diverges algebraically and universally (with). 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.