Lenard-Balescu calculations and classical molecular dynamics simulations of electrical and thermal conductivities of hydrogen plasmas
Abstract
Here we present a discussion of kinetic theory treatments of linear electrical and thermal transport in hydrogen plasmas, for a regime of interest to inertial confinement fusion applications. In order to assess the accuracy of one of the more involved of these approaches, classical Lenard-Balescu theory, we perform classical molecular dynamics simulations of hydrogen plasmas using 2-body quantum statistical potentials and compute both electrical and thermal conductivity from our particle trajectories using the Kubo approach. Our classical Lenard-Balescu results employing the identical statistical potentials agree well with the simulations. Comparison between quantum Lenard-Balescu and classical Lenard-Balescu for conductivities then allows us to both validate and critique the use of various statistical potentials for the prediction of plasma transport properties. Lastly, these findings complement our earlier MD/kinetic theory work on temperature equilibration, and reach similar conclusions as to which forms of statistical potentials best reproduce true quantum behavior.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1266668
- Alternate Identifier(s):
- OSTI ID: 1338398
- Report Number(s):
- LLNL-JRNL-660060; SAND2016-12719J
Journal ID: ISSN 0863-1042
- Grant/Contract Number:
- AC52-07NA27344; AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Contributions to Plasma Physics
- Additional Journal Information:
- Journal Volume: 55; Journal Issue: 2-3; Journal ID: ISSN 0863-1042
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Conductivity; hydrogen; molecular dynamics; Lenard-Balescu equation
Citation Formats
Whitley, Heather D., Scullard, Christian R., Benedict, Lorin X., Castor, John I., Randles, Amanda, Glosli, James N., Richards, David F., Desjarlais, Michael P., and Graziani, Frank R. Lenard-Balescu calculations and classical molecular dynamics simulations of electrical and thermal conductivities of hydrogen plasmas. United States: N. p., 2014.
Web. doi:10.1002/ctpp.201400066.
Whitley, Heather D., Scullard, Christian R., Benedict, Lorin X., Castor, John I., Randles, Amanda, Glosli, James N., Richards, David F., Desjarlais, Michael P., & Graziani, Frank R. Lenard-Balescu calculations and classical molecular dynamics simulations of electrical and thermal conductivities of hydrogen plasmas. United States. https://doi.org/10.1002/ctpp.201400066
Whitley, Heather D., Scullard, Christian R., Benedict, Lorin X., Castor, John I., Randles, Amanda, Glosli, James N., Richards, David F., Desjarlais, Michael P., and Graziani, Frank R. Thu .
"Lenard-Balescu calculations and classical molecular dynamics simulations of electrical and thermal conductivities of hydrogen plasmas". United States. https://doi.org/10.1002/ctpp.201400066. https://www.osti.gov/servlets/purl/1266668.
@article{osti_1266668,
title = {Lenard-Balescu calculations and classical molecular dynamics simulations of electrical and thermal conductivities of hydrogen plasmas},
author = {Whitley, Heather D. and Scullard, Christian R. and Benedict, Lorin X. and Castor, John I. and Randles, Amanda and Glosli, James N. and Richards, David F. and Desjarlais, Michael P. and Graziani, Frank R.},
abstractNote = {Here we present a discussion of kinetic theory treatments of linear electrical and thermal transport in hydrogen plasmas, for a regime of interest to inertial confinement fusion applications. In order to assess the accuracy of one of the more involved of these approaches, classical Lenard-Balescu theory, we perform classical molecular dynamics simulations of hydrogen plasmas using 2-body quantum statistical potentials and compute both electrical and thermal conductivity from our particle trajectories using the Kubo approach. Our classical Lenard-Balescu results employing the identical statistical potentials agree well with the simulations. Comparison between quantum Lenard-Balescu and classical Lenard-Balescu for conductivities then allows us to both validate and critique the use of various statistical potentials for the prediction of plasma transport properties. Lastly, these findings complement our earlier MD/kinetic theory work on temperature equilibration, and reach similar conclusions as to which forms of statistical potentials best reproduce true quantum behavior.},
doi = {10.1002/ctpp.201400066},
journal = {Contributions to Plasma Physics},
number = 2-3,
volume = 55,
place = {United States},
year = {Thu Dec 04 00:00:00 EST 2014},
month = {Thu Dec 04 00:00:00 EST 2014}
}
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