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cond-mat.stat-mech2021★ 32 cited
Universal behavior of site and bond percolation thresholds on regular lattices with compact extended-range neighborhoods in 2 and 3 dimensions
Zhipeng Xun, DaPeng Hao, Robert M. Ziff
Extended-range percolation on various regular lattices, including all eleven Archimedean lattices in two dimensions, and the simple cubic (SC), body-centered cubic (BCC), and face-…
cond-mat.stat-mech2021★ 10 cited
Site and bond percolation on four-dimensional simple hypercubic lattices with extended neighborhoods
Pengyu Zhao, Jinhong Yan, Zhipeng Xun +2
The asymptotic behavior of the percolation threshold and its dependence upon coordination number is investigated for both site and bond percolation on four-dimensional la…
cond-mat.stat-mech2021
Improved finite-difference and pseudospectral schemes for the Kardar-Parisi-Zhang equation with long-range temporal correlations
Xiongpeng Hu, Dapeng Hao, Hui Xia
To investigate universal behavior and effects of long-range temporal correlations in kinetic roughening, we perform extensive simulations on the Kardar-Parisi-Zhang (KPZ) equation…