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17 papers · 1 filter
Discontinuous percolation in diffusion-limited cluster aggregation
Y. S. Cho, Y. W. Kim, B. Kahng
Recently, the diffusion-limited cluster aggregation (DLCA) model was restudied as a real-world example of showing discontinuous percolation transitions (PTs). Because a larger clus…
Emergence of skew distributions in controlled growth processes
Segun Goh, H. W. Kwon, M. Y. Choi +1
Starting from a master equation, we derive the evolution equation for the size distribution of elements in an evolving system, where each element can grow, divide into two, and pro…
Relaxation dynamics and interrupted coarsening in irrationally frustrated superconducting arrays
Gun Sang Jeon, Sung Jong Lee, Bongsoo Kim +1
Equilibrium and non-equilibrium relaxation behaviors of two-dimensional superconducting arrays are investigated via numerical simulations at low temperatures in the presence of inc…
1/f spectrum and memory function analysis of solvation dynamics in a room-temperature ionic liquid
Daun Jeong, M. Y. Choi, YounJoon Jung +1
To understand the non-exponential relaxation associated with solvation dynamics in the ionic liquid 1-ethyl-3-methylimidazolium hexafluorophosphate, we study power spectra of the f…
Spectral densities of scale-free networks
D. Kim, B. Kahng
The spectral densities of the weighted Laplacian, random walk and weighted adjacency matrices associated with a random complex network are studied using the replica method. The lin…
Scale-free random branching tree in supercritical phase
D. -S. Lee, J. S. Kim, B. Kahng +1
We study the size and the lifetime distributions of scale-free random branching tree in which branches are generated from a node at each time step with probability $q_k\sim k^{…