Volume 70, Number 2, April 2005
|Page(s)||155 - 161|
|Published online||18 March 2005|
ParQ —high-precision calculation of the density of states
Institut für Physik, Technische Universität Chemnitz - D-09107 Chemnitz, Germany
Corresponding author: firstname.lastname@example.org
Accepted: 2 March 2005
We present a highly effective, parallelized random-walk–based algorithm to calculate the density of states of complex physical systems. Random walkers' attempted moves from one energy level to another are represented in a stochastic matrix, giving estimates for the transition matrix at infinite temperature. The eigenvector corresponding to the largest eigenvalue is the density of states up to a normalization. We verify the performance on selected examples of Ising spin systems with random coupling constants drawn uniformly from , of which the exact density of states has been calculated by a branch-and-bound approach.
PACS: 02.50.Ga – Markov processes / 05.10.Ln – Monte Carlo methods / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EDP Sciences, 2005
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