Spectral Dimension of a Modified Checker Board Fractal Lattice
CHEN Shu2, YANG Zhan-ru1,2
1CCAST( World Laboratory), P. O. Box 8730, Beijing 100080
2Department of Physics, and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875
Spectral Dimension of a Modified Checker Board Fractal Lattice
CHEN Shu2;YANG Zhan-ru1,2
1CCAST( World Laboratory), P. O. Box 8730, Beijing 100080
2Department of Physics, and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875
Abstract: We present a kind of modified checker board lattice and investigate the random walk on the fractal . The spectral dimension is determined via renormalization procedures and the inverse matrix method is used to renormalize the master equation describing the random walk.