Plattner, N. and Kunikeev, S. and Freeman, D. L. and Doll, J. D.
(2012)
*Numerical Investigation of the Cumulant Expansion for Fourier Path Integrals.*
In:
Applied Parallel and Scientific Computing.
Lecture Notes in Computer Science , 7134
(7134).
Springer, pp. 13-22.
ISBN 978-3-642-28144-0

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1007/978-3-642-28145-7_2

## Abstract

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.

Item Type: | Book Section |
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Subjects: | Mathematical and Computer Sciences > Computer Science |

ID Code: | 1249 |

Deposited By: | BioComp Admin |

Deposited On: | 19 Apr 2013 13:05 |

Last Modified: | 19 Apr 2013 13:05 |

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