5 papers · 1 filter
Extended-range percolation in five dimensions
Zhipeng Xun, Dapeng Hao, Robert M. Ziff
Percolation on a five-dimensional simple hypercubic (sc(5)) lattice with extended neighborhoods is investigated by means of extensive Monte Carlo simulations, using an effective si…
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-…
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…
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…
Site percolation on square and simple cubic lattices with extended neighborhoods and their continuum limit
Zhipeng Xun, Dapeng Hao, Robert M. Ziff
By means of Monte Carlo simulations, we study long-range site percolation on square and simple cubic lattices with various combinations of nearest neighbors, up to the eighth neigh…