| Issue |
Europhys. Lett.
Volume 70, Number 2, April 2005
|
|
|---|---|---|
| Page(s) | 155 - 161 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2004-10486-8 | |
| 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: hoffmann@physik.tu-chemnitz.de
Received:
22
October
2004
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 ![$[-1,1]$](/articles/epl/abs/2005/08/epl8696/epl8696_tex_eq1.png)
, 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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