240 citations · 2.1k across the 73 of their papers we have counts for
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Scaling determination of the nonlinear I-V characteristics for 2D superconducting networks
Petter Minnhagen, Beom Jun Kim, A. Gronlund
It is shown from computer simulations that the current-voltage (-) characteristics for the two-dimensional XY model with resistively-shunted Josephson junction dynamics and M…
Prisoners' dilemma in real-world acquaintance networks: Spikes and quasi-equilibria induced by the interplay between structure and dynamics
Petter Holme, Ala Trusina, Beom Jun Kim +1
We study Nowak and May's spatial prisoners' dilemma game driven by mutations (random choices of suboptimal strategies) on empirical social networks. The time evolution of the coope…
Hierarchy Measures in Complex Networks
Ala Trusina, Sergei Maslov, Petter Minnhagen +1
Using each node's degree as a proxy for its importance, the topological hierarchy of a complex network is introduced and quantified. We propose a simple dynamical process used to c…
Direct Evidence of the Discontinuous Character of the Kosterlitz-Thouless Jump
Petter Minnhagen, Beom Jun Kim
It is numerically shown that the discontinuous character of the helicity modulus of the two-dimensional XY model at the Kosterlitz-Thouless (KT) transition can be directly related…
Dynamic critical behavior of the XY model in small-world networks
Kateryna Medvedyeva, Petter Holme, Petter Minnhagen +1
The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critica…
Phase Transitions in the Two-Dimensional Random Gauge XY Model
Petter Holme, Petter Minnhagen, Beom Jun Kim
The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within (), is studied vi…