dorsal/arxiv
View SchemaPath Integral Monte Carlo Calculation of the Deuterium Hugoniot
| Authors | B. Militzer, D. M. Ceperley |
|---|---|
| Categories | |
| ArXiv ID | physics/0001047 |
| URL | https://arxiv.org/abs/physics/0001047 |
| DOI | 10.1103/PhysRevLett.85.1890 |
Abstract
Restricted path integral Monte Carlo simulations have been used to calculate the equilibrium properties of deuterium for two densities: 0.674 and 0.838 gcm^-3 (rs = 2.00 and 1.86) in the temperature range of 10000 < T < 1000000 K. Using the calculated internal energies and pressures we estimate the shock hugoniot and compare with recent Laser shock wave experiments. We study finite size effects and the dependence on the time step of the path integral. Further, we compare the results obtained with a free particle nodal restriction with those from a self-consistent variational principle, which includes interactions and bound states.
{
"annotation_id": "c207f7d5-aaf6-46f1-9eed-fa4140a7aee1",
"date_created": "2026-03-02T18:00:29.400000Z",
"date_modified": "2026-03-02T18:00:29.400000Z",
"file_hash": "3e620aed6dacd6514817d810a065511c51f8e79c45dab6fe327b821af477fe41",
"private": false,
"record": {
"abstract": "Restricted path integral Monte Carlo simulations have been used to calculate\nthe equilibrium properties of deuterium for two densities: 0.674 and 0.838\ngcm^-3 (rs = 2.00 and 1.86) in the temperature range of 10000 \u003c T \u003c 1000000 K.\nUsing the calculated internal energies and pressures we estimate the shock\nhugoniot and compare with recent Laser shock wave experiments. We study finite\nsize effects and the dependence on the time step of the path integral. Further,\nwe compare the results obtained with a free particle nodal restriction with\nthose from a self-consistent variational principle, which includes interactions\nand bound states.",
"arxiv_id": "physics/0001047",
"authors": [
"B. Militzer",
"D. M. Ceperley"
],
"categories": [
"physics.plasm-ph",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevLett.85.1890",
"title": "Path Integral Monte Carlo Calculation of the Deuterium Hugoniot",
"url": "https://arxiv.org/abs/physics/0001047"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c126906b-566e-4ecb-8919-52dbd83dec02",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}