Monte Carlo evidence for the deviation from the Alexander-Orbach rule in three-dimensional percolation

Journal of Statistical Physics - Tập 49 - Trang 849-854 - 1987
R. B. Pandey1,2, D. Stauffer1, J. G. Zabolitzky1,3
1Institute for Theoretical Physics, Cologne University, Cologne 41, West Germany
2Department of Physics, Jackson State University, Jackson
3Kontron Electronics, Eching, West Germany

Tóm tắt

Computer simulation is used to study the diffusion at the percolation threshold on large simple cubic lattices. The exponentk for the rms displacementr witht inr ∼ tk is found to be smaller than 0.2, while the Alexander-Orbach 4/3 rule for the spectral dimension predictsk=0.201 ± 0.002.

Tài liệu tham khảo

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Thông tin xuất bản

Journal of Statistical Physics

Tập 49

849-854

Thông tin tác giả