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Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States

Phys. Rev. Lett. *86*, 2050 – Published 5 March 2001
Fugao Wang and D. P. Landau

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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