"Numerical investigation of the cumulant expansion for fourier path int" by Nuria Plattner, Sharif Kunikeev et al.
 

Numerical investigation of the cumulant expansion for fourier path integrals

Document Type

Conference Proceeding

Date of Original Version

3-1-2012

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. © 2012 Springer-Verlag.

Publication Title, e.g., Journal

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volume

7134 LNCS

Issue

PART 2

Share

COinS