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
Citation/Publisher Attribution
Plattner, Nuria, Sharif Kunikeev, David L. Freeman, and Jimmie D. Doll. "Numerical investigation of the cumulant expansion for fourier path integrals." Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 7134 LNCS, PART 2 (2012): 13-22. doi: 10.1007/978-3-642-28145-7_2.