Concentration Transitions on the Crystalline Lattices

Authors N.A. Gorenko1 K.V. Nefedev1,2

1 Far Eastern Federal University, School of Natural Sciences, 8, Sukhanova Str., 690950 Vladivostok, Russia

2 Institute of Applied Mathematics, Far Eastern Branch Russian Academy of Science, 7, Radio Str., 690041 Vladivostok, Russia

Issue Volume 6, Year 2014, Number 3
Dates Received 19 May 2014; published online 15 July 2014
Citation N.A. Gorenko, K.V. Nefedev, J. Nano- Electron. Phys. 6 No 3, 03012 (2014)
PACS Number(s) 75.10.Nr, 75.50.Lk, 68.18.Jk, 11.15.Ha
Keywords Condensed matter physics, Phase transitions (2) , Monte Carlo simulation (3) , Lattice gauge theory.
Annotation Results of numerical modeling of dilute 2D and 3D crystalline lattices are presented. The percolation thresholds for face-centered cubic (fcc), body-centered cubic (bcc) and the simple cubic (sc) lattices for the first, second and third coordination spheres are obtained by means of Monte Carlo (MC) method. It is shown, that the mean value of the percolation cluster density has a minimum value at the percolation threshold.

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