Repository: Freie Universit├Ąt Berlin, Math Department

Numerical Investigation of the Cumulant Expansion for Fourier Path Integrals

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

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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
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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