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Published in:
2012 | OriginalPaper | Chapter
Numerical Investigation of the Cumulant Expansion for Fourier Path Integrals
Authors : Nuria Plattner, Sharif Kunikeev, David L. Freeman, Jimmie D. Doll
Published in: Applied Parallel and Scientific Computing
Publisher: Springer Berlin Heidelberg
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Recent developments associated with the cumulant expansion of the Fourier path integral Monte Carlo method are illustrated numerically using a simple one-dimensional model of a quantum fluid. By calculating the Helmholtz free energy of the model we demonstrate that 1) recently derived approximate asymptotic expressions for the cumulants requiring only one-dimensional quadrature are both accurate and viable, 2) expressions through third-cumulant order are significantly more rapidly convergent than either the primitive Fourier method or the partial average method, and 3) the derived cumulant convergence orders can be verified numerically.