Monte Carlo Quasi-Heatbath by approximate inversion

Physics – Condensed Matter

Scientific paper

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Details

10 pages, 1 figure; typos corrected, reference added; version to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.59.3698

When sampling the distribution P(phi) ~ exp(-|A phi|^2), a global heatbath
normally proceeds by solving the linear system A phi = eta, where eta is a
normal Gaussian vector, exactly. This paper shows how to preserve the
distribution P(phi) while solving the linear system with arbitrarily low
accuracy. Generalizations are presented.

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