Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-06-16
Physics
Condensed Matter
Other Condensed Matter
23 pages
Scientific paper
10.1063/1.2354490
We propose a new algorithm for sampling the $N$-body density $|\Psi({\bf R})|^2/\int_{\mathbb{R}^{3N}} |\Psi|^2$ in the Variational Monte Carlo (VMC) framework. This algorithm is based upon a modified Ricci-Ciccotti discretization of the Langevin dynamics in the phase space $({\bf R},{\bf P})$ improved by a Metropolis acceptation/rejection step. We show through some representative numerical examples (Lithium, Fluorine and Copper atoms, and phenol molecule), that this algorithm is superior to the standard sampling algorithm based on the biased random walk (importance sampling).
Caffarel Michel
Cances Eric
Lelievre Tony
Scemama Anthony
Stoltz Gabriel
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