69 citations · 186 across the 4 of their papers we have counts for
6 papers
Dynamics of the Wang-Landau algorithm and complexity of rare events for the three-dimensional bimodal Ising spin glass
S. Alder, S. Trebst, A. K. Hartmann +1
We investigate the performance of flat-histogram methods based on a multicanonical ensemble and the Wang-Landau algorithm for the three-dimensional +/- J spin glass by measuring ro…
Propagation of Ripples in Monte Carlo Models of Sputter Induced Surface Morphology
Emmanuel O. Yewande, Alexander K. Hartmann, Reiner Kree
Periodic ripples generated from the off-normal incidence ion beam bombardment of solid surfaces have been observed to propagate with a dispersion in the velocity. We investigate th…
Clustering analysis of the ground-state structure of the vertex-cover problem
Wolfgang Barthel, Alexander K. Hartmann
Vertex cover is one of the classical NP-complete problems in theoretical computer science. A vertex cover of a graph is a subset of vertices such that for each edge at least one of…
Finding Low-Temperature States with Parallel Tempering, Simulated Annealing and Simple Monte Carlo
J. J. Moreno, H. G. Katzgraber, Alexander K. Hartmann
Monte Carlo simulation techniques, like simulated annealing and parallel tempering, are often used to evaluate low-temperature properties and find ground states of disordered syste…
Statistical mechanics perspective on the phase transition in vertex covering finite-connectivity random graphs
Alexander K. Hartmann, Martin Weigt
The vertex-cover problem is studied for random graphs having vertices and edges. Exact numerical results are obtained by a branch-and-bound algorithm. It is fou…
Analysis of the statistical behavior of genetic cluster-exact approximation
Alexander K. Hartmann
The genetic cluster-exact approximation algorithm is an efficient method to calculate ground states of EA spin glasses. The method can be used to study ground-state landscapes by c…