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Configuration Path Integral Monte Carlo
Authors:T. Schoof  M. Bonitz  A. Filinov  D. Hochstuhl  J.W. Dufty
Affiliation:1. Institute for Theoretical Physics and Astrophysics, Christian Albrechts University Kiel, Leibnizstrasse 15, D‐24098 Kiel, Germany;2. Institute of Spectroscopy of the Russian Academy of Sciences, Troitsk, Russia;3. Physics Department, University of Florida, Gainesville
Abstract:
A novel path integral Monte Carlo (PIMC) approach for correlated many‐particle systems with arbitrary pair interaction in continuous space at low temperatures is presented. It is based on a representation of the N ‐particle density operator in a basis of (anti‐)symmetrized N ‐particle states (configurations of occupation numbers). The path integral is transformed into a sum over trajectories with the same topology and, finally, the limit of M → ∞, where M is the number of high‐temperature factors, is analytically performed. This yields exact expressions for the thermodynamic quantities and allows to perform efficient simulations for fermions at low temperature and weak to moderate coupling. Our method is expected to be applicable to dense quantum plasmas in the regime of strong degeneracy where conventional PIMC fails due to the fermion sign problem (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Dense plasmas  quantum plasmas  thermodynamic properties  path integral Monte Carlo
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