On the Possibility of Quasi Small-World Nanomaterials
arXiv:cond-mat/0308602 · doi:10.1103/PhysRevE.69.056110
Abstract
The possibility of materials that are governed by a fixed point related to small world networks is discussed. In particular, large-scale Monte Carlo simulations are performed on Ising ferromagnetic models on two different small-world networks generated from a one-dimensional spin chain. One has the small-world bond strengths independent of the length, and exhibits a finite-temperature phase transition. The other has small-world bonds built from atoms, and although there is no finite-temperature phase transition the system shows a slow power-law change of the effective critical temperature of a finite system as a function of the system size. An outline of a possible synthesis route for quasi small-world nanomaterials is presented.
13 pages, 9 figures, submitted to Brazilian Journal of Physics, conference proceedings for III Brazilian Meeting on Simulational Physics (2003)