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 | Nanotech 2002 Vol. 2
Technical Proceedings of the 2002 International Conference on Computational Nanoscience and Nanotechnology
Chapter 16: Materials and Nanostructures Studies |
| | Searching for a New Type of Surface Percolation on a 3D lattice | | Authors: | T. Tanizawa, H. Takano and S. Miyazima | | Affilation: | Kochi National College of Technology, Japan | | Pages: | 419 - 422 | | Keywords: | critical phenomena, percolation, numerical simulation, stochastic process, modeling of nature | | Abstract: | We consider a new surface percolation problem on a 3D simple cubic lattice through numerical simulation. In this problem, randomly occupied surfaces initially form an in nite cluster at p = 0.21, where p is the surface occupation probability. This site percolation problem is well-studied. The in nite cluster at this value of p, however, contains many “hole”, since surfaces are considered to be connected if they share at least one edge in common. As p increases over that value, these holes are gradually lled with surfaces. We nd that, at p = 0.66, there is a sharp transition where the in nite cluster contains one sheet with complicated folds. We also numerically evaluate the critical exponents Beta and nu using nite size scaling method and obtain Beta = 0.3 and nu = 1.0. We cannot nd this combination of the values in any sets of critical exponents well-known at present. This fact may suggest that our surface percolation problem belongs to a new universality class. |  | View paper | | ISBN: | 0-9708275-6-3 |
| Pages: | 504 |
| Hardcopy: | $100.00 |
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