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True and quasi long-range order in the generalized -state clock model
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
From consideration of the order-parameter distribution, we propose an observable which makes a clear distinction between true and quasi long-range orders in the two-dimensional gen…
Heterogeneous attachment strategies optimize the topology of dynamic wireless networks
Beom Jun Kim, Petter Holme, Viktoria Fodor
In optimizing the topology of wireless networks built of a dynamic set of spatially embedded agents, there are many trade-offs to be dealt with. The network should preferably be as…
Phase transition of -state clock models on heptagonal lattices
Seung Ki Baek, Petter Minnhagen, Hiroyuki Shima +1
We study the -state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between…
Percolation on hyperbolic lattices
Seung Ki Baek, Petter Minnhagen, Beom Jun Kim
The percolation transitions on hyperbolic lattices are investigated numerically using finite-size scaling methods. The existence of two distinct percolation thresholds is verified.…
Flow improvement caused by agents who ignore traffic rules
Seung Ki Baek, Petter Minnhagen, Sebastian Bernhardsson +2
A system of agents moving along a road in both directions is studied numerically within a cellular-automata formulation. An agent steps to the right with probability or to the…