Determination of the origin and magnitude of logarithmic finite-size effects on interfacial tension: Role of interfacial fluctuations and domain breathing

Abstract

The ensemble-switch method for computing wall excess free energies of condensed matter is extended to estimate the interface free energies between coexisting phases very accurately. By this method, system geometries with linear dimensions $L$ parallel and $L_z$ perpendicular to the interface with various boundary conditions in the canonical or grandcanonical ensemble can be studied. Using two- and three-dimensional Ising models, the nature of the occurring logarithmic finite size corrections is studied. It is found crucial to include interfacial fluctuations due to "domain breathing".

5 pages, 4 figures

References in corpus (6)

• Tension and stiffness of the hard sphere crystal-fluid interface
• Capillary Waves in a Colloid-Polymer Interface
• Critical phenomena in colloid-polymer mixtures: interfacial tension, order parameter, susceptibility and coexistence diameter
• Interfacial tension of the isotropic--nematic interface in suspensions of soft spherocylinders
• Casimir force in O(n) lattice models with a diffuse interface
• Anisotropy of the interface tension of the three-dimensional Ising model

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• Surface Tension of Ab Initio Liquid Water at the Water-Air Interface
• Crystal-liquid interfacial free energy of hard spheres via a novel thermodynamic integration scheme
• Crystallization of hard spheres revisited. II. Thermodynamic modeling, nucleation work, and the surface of tension
• Jarzynski's theorem for lattice gauge theory
• Dynamical coexistence in moderately polydisperse hard-sphere glasses
• Anisotropic interfacial tension, contact angles, and line tensions: A graphics-processing-unit-based Monte Carlo study of the Ising model
• Aspects of nucleation on curved and flat surfaces
• The free energy of grain boundaries from atomistic computer simulation
• Virial series for inhomogeneous fluids applied to the Lennard-Jones wall-fluid surface tension at planar and curved walls