Effects of smooth random surface on fluid monolayer thermodynamics

31st International Conference on Equations of State for Matter

Khlyupin, A.N.^1,2

Moscow Institute of Physics and Technology, Institutskiy Pereulok 9, Dolgoprudny, Moscow Region

141700, Russia^1

Schlumberger Moscow Research Center, Pudovkina 13, Moscow

119285, Russia^2

关键词: Effective Hamiltonian;    Finite connectivity;    High-temperature expansion;    Pair interaction potential;    Quenched disorder;    Random field model;    Spin-glass models;    Statistical features;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/774/1/012024/pdf
DOI  :  10.1088/1742-6596/774/1/012024

来源: IOP

【 摘 要 】

We consider the lattice gas approach to statistical mechanics of fluid adsorbed on random surfaces with fluid-fluid and fluid-surface potentials. It was shown that effective Hamiltonian contains quenched random interactions and random site fields. Their statistical features combine the properties of random geometry and fluid-fluid pair interaction potential. The high-temperature expansion leads to infinite-ranged random field model and Sherrington-Kirkpatrick spin-glass model. Thermodynamic properties are evaluated using replica theory procedure widely used to analyze quenched disorder systems. On the other hand we consider the random field model in random graph with finite connectivity instead of previous "infinite-ranged" approximations. This model has been investigated using finite connectivity technique. The replica symmetry ansatz for the order function is expressed in terms of an effective-field distribution. Analysis of random geometry effects on thermodynamic properties in such approach was done for the first time.