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Path Integral Monte Carlo

This resource has a 6.2 Ranking

Ranking is calculated from a formula comprised of user reviews and usage statistics. Learn more ›

Usage Stats
Overall Period: Updated 08 Jan, 2009
Users: 76
Jobs: 326
Avg. exec. time: 18 secs
Reviews & Citations
Google/IEEE
Avg. Review: 0.0 out of 5 stars
Citations: 0

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Open Source (OSI) LogoThis tool is open source, according to this license.

Download version 1.2.2

Available Versions

Version 1.2.2 - published on 23 Jul, 2008
Contributor(s) John Shumway
Arizona State University

Matthew Gilbert
University of Texas at Austin
At a glance Tool Description
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Description

Path integral Monte Carlo (PIMC) simulates particles (often electrons and ions) by directly sampling the canonical partition function. In the path integral formulation of quantum statistical mechanics developed by Richard Feynman, particles get represented by closed imaginary-time trajectories of length h/kT. PIMC simulations are able to compute total energies, correlation functions, charge distribution, and linear response functions for thermal equilibrium. As in many quantum Monte Carlo methods, PIMC has efficient scaling with system size, often order N or N2.

Our application, pi or app-pimc, is well suited for modeling conduction electrons in quantum dots, quantum wires, and quantum wells. We have also tested it for ab initio calculations, but at this point only hydrogen and helium atoms work well. The app-pimc tool is a low-level wrapper for our application that allows the user to input a simulation description in XML, run the simulation in 1, 2, or 3 dimensions, and view results of scalar estimators. While this is an expert interface, we provide demo input files for quick simulations of a free particle, simple harmonic oscillator, and a hydrogen atom. The code is open source, so users have the option of installing a local version of the program on their machines if that better suites their research.

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pi: Open-Source Path Integral QMC

Open source path integral simulation program developed by the Shumway research group.

Sponsored by

Work supported by NSF Grant DMR 0239819.

References
Cite this work

If you reference this work in a publication, please cite as follows:

  • Shumway, John; Gilbert, Matthew (2008), "Path Integral Monte Carlo," doi: 10254/nanohub-r3690.3.

    BibTex | EndNote

In addition, we would appreciate it if you would add the following acknowledgment to your publication:

  • Simulation services for results presented here were provided by the Network for Computational Nanotechnology (NCN) at nanoHUB.org

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