dorsal/arxiv
View SchemaPermutation sampling in Path Integral Monte Carlo
| Authors | Massimo Boninsegni |
|---|---|
| Categories | |
| ArXiv ID | physics/0506020 |
| URL | https://arxiv.org/abs/physics/0506020 |
| DOI | 10.1007/s10909-005-7513-0 |
| Journal | J. Low Temp. Phys. 141, 27 (2005) |
Abstract
A simple algorithm is described to sample permutations of identical particles in Path Integral Monte Carlo (PIMC) simulations of continuum many-body systems. The sampling strategy illustrated here is fairly general, and can be easily incorporated in any PIMC implementation based on the staging algorithm. Although it is similar in spirit to an existing prescription, it differs from it in some key aspects. It allows one to sample permutations efficiently, even if long paths (e.g., hundreds, or thousands of slices) are needed. We illustrate its effectiveness by presenting results of a PIMC calculation of thermodynamic properties of superfluid Helium-four, in which a very simple approximation for the high-temperature density matrix was utilized.
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"abstract": "A simple algorithm is described to sample permutations of identical particles\nin Path Integral Monte Carlo (PIMC) simulations of continuum many-body systems.\nThe sampling strategy illustrated here is fairly general, and can be easily\nincorporated in any PIMC implementation based on the staging algorithm.\nAlthough it is similar in spirit to an existing prescription, it differs from\nit in some key aspects. It allows one to sample permutations efficiently, even\nif long paths (e.g., hundreds, or thousands of slices) are needed. We\nillustrate its effectiveness by presenting results of a PIMC calculation of\nthermodynamic properties of superfluid Helium-four, in which a very simple\napproximation for the high-temperature density matrix was utilized.",
"arxiv_id": "physics/0506020",
"authors": [
"Massimo Boninsegni"
],
"categories": [
"physics.comp-ph"
],
"doi": "10.1007/s10909-005-7513-0",
"journal_ref": "J. Low Temp. Phys. 141, 27 (2005)",
"title": "Permutation sampling in Path Integral Monte Carlo",
"url": "https://arxiv.org/abs/physics/0506020"
},
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