An efficient, multiple range random walk algorithm to calculate the density of states

Details An efficient, multiple range random walk algorithm to calculate the density of states An efficient, multiple range random walk algorithm to calculate the density of states

2000-11-10

arxiv.org/abs/cond-mat/0011174v1

Phys. Rev. Lett. 86, 2050 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages including 4 ps figs

Scientific paper

10.1103/PhysRevLett.86.2050

We present a new Monte Carlo algorithm that produces results of high accuracy with reduced simulational effort. Independent random walks are performed (concurrently or serially) in different, restricted ranges of energy, and the resultant density of states is modified continuously to produce locally flat histograms. This method permits us to directly access the free energy and entropy, is independent of temperature, and is efficient for the study of both 1st order and 2nd order phase transitions. It should also be useful for the study of complex systems with a rough energy landscape.

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