13138

Anisotropic interfacial tension, contact angles, and line tensions: A graphics-processing-unit-based Monte Carlo study of the Ising model

Benjamin J. Block, Suam Kim, Peter Virnau, Kurt Binder
Institut fur Physik, Johannes Gutenberg-Universitat Mainz, Staudinger Weg 9, D-55099 Mainz, Germany
arXiv:1411.5588 [physics.comp-ph], (20 Nov 2014)

@{,

}

Download Download (PDF)   View View   Source Source   

744

views

As a generic example for crystals where the crystal-fluid interface tension depends on the orientation of the interface relative to the crystal lattice axes, the nearest neighbor Ising model on the simple cubic lattice is studied over a wide temperature range, both above and below the roughening transition temperature. Using a thin film geometry $L_x times L_y times L_z$ with periodic boundary conditions along the z-axis and two free $L_x times L_y$ surfaces at which opposing surface fields $pm H_{1}$ act, under conditions of partial wetting, a single planar interface inclined under a contact angle $theta < pi/2$ relative to the yz-plane is stabilized. In the y-direction, a generalization of the antiperiodic boundary condition is used that maintains the translational invariance in y-direction despite the inhomogeneity of the magnetization distribution in this system. This geometry allows a simultaneous study of the angle-dependent interface tension, the contact angle, and the line tension (which depends on the contact angle, and on temperature). All these quantities are extracted from suitable thermodynamic integration procedures. In order to keep finite size effects as well as statistical errors small enough, rather large lattice sizes (of the order of 46 million sites) are found necessary, availability of very efficient code implementation of graphics processing units (GPUs) was crucial for the feasibility of this study.
No votes yet.
Please wait...

* * *

* * *

Featured events

2018
November
27-30
Hida Takayama, Japan

The Third International Workshop on GPU Computing and AI (GCA), 2018

2018
September
19-21
Nagoya University, Japan

The 5th International Conference on Power and Energy Systems Engineering (CPESE), 2018

2018
September
22-24
MediaCityUK, Salford Quays, Greater Manchester, England

The 10th International Conference on Information Management and Engineering (ICIME), 2018

2018
August
21-23
No. 1037, Luoyu Road, Hongshan District, Wuhan, China

The 4th International Conference on Control Science and Systems Engineering (ICCSSE), 2018

2018
October
29-31
Nanyang Executive Centre in Nanyang Technological University, Singapore

The 2018 International Conference on Cloud Computing and Internet of Things (CCIOT’18), 2018

HGPU group © 2010-2018 hgpu.org

All rights belong to the respective authors

Contact us: