Ab initio modeling of nonequilibrium electron-ion dynamics of iron in the warm dense matter regime
Abstract
Here, the spatiotemporal electron and ion relaxation dynamics of iron induced by femtosecond laser pulses was studied using a one-dimensional two-temperature model (1D-TTM) where electron and ion temperature-dependent thermophysical parameters such as specific heat (C), electron-phonon coupling (G), and thermal conductivity (K) were calculated with ab initio density-functional-theory (DFT) simulations. Based on the simulated time evolutions of electron and ion temperature distributions [Te(x,t) and Ti(x,t)], the time evolution of x-ray absorption near-edge spectroscopy (XANES) was calculated and compared with experimental results reported by Fernandez-Pañella et al., where the slope of XANES spectrum at the onset of absorption (s) was used due to its excellent sensitivity to the electron temperature. Our results indicate that the ion temperature dependence on G and C, which is largely neglected in the past studies, is very important for studying the nonequilibrium electron-ion relaxation dynamics of iron in warm dense matter (WDM) conditions. It is also shown that the 1/s behavior becomes very sensitive to the thermal gradient profile, in other words, to the values of K in a TTM simulation, for target thickness of about two to four times the mean free path of conduction electrons. Our approach based on 1D-TTM and XANES simulations canmore »
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1457785
- Alternate Identifier(s):
- OSTI ID: 1441109
- Grant/Contract Number:
- AC52-07NA27344; FWP-SCW1264; AC02-05CH11231; AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 21; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Ogitsu, T., Fernandez-Panella, A., Hamel, S., Correa, A. A., Prendergast, D., Pemmaraju, C. D., and Ping, Y. Ab initio modeling of nonequilibrium electron-ion dynamics of iron in the warm dense matter regime. United States: N. p., 2018.
Web. doi:10.1103/physrevb.97.214203.
Ogitsu, T., Fernandez-Panella, A., Hamel, S., Correa, A. A., Prendergast, D., Pemmaraju, C. D., & Ping, Y. Ab initio modeling of nonequilibrium electron-ion dynamics of iron in the warm dense matter regime. United States. https://doi.org/10.1103/physrevb.97.214203
Ogitsu, T., Fernandez-Panella, A., Hamel, S., Correa, A. A., Prendergast, D., Pemmaraju, C. D., and Ping, Y. Mon .
"Ab initio modeling of nonequilibrium electron-ion dynamics of iron in the warm dense matter regime". United States. https://doi.org/10.1103/physrevb.97.214203. https://www.osti.gov/servlets/purl/1457785.
@article{osti_1457785,
title = {Ab initio modeling of nonequilibrium electron-ion dynamics of iron in the warm dense matter regime},
author = {Ogitsu, T. and Fernandez-Panella, A. and Hamel, S. and Correa, A. A. and Prendergast, D. and Pemmaraju, C. D. and Ping, Y.},
abstractNote = {Here, the spatiotemporal electron and ion relaxation dynamics of iron induced by femtosecond laser pulses was studied using a one-dimensional two-temperature model (1D-TTM) where electron and ion temperature-dependent thermophysical parameters such as specific heat (C), electron-phonon coupling (G), and thermal conductivity (K) were calculated with ab initio density-functional-theory (DFT) simulations. Based on the simulated time evolutions of electron and ion temperature distributions [Te(x,t) and Ti(x,t)], the time evolution of x-ray absorption near-edge spectroscopy (XANES) was calculated and compared with experimental results reported by Fernandez-Pañella et al., where the slope of XANES spectrum at the onset of absorption (s) was used due to its excellent sensitivity to the electron temperature. Our results indicate that the ion temperature dependence on G and C, which is largely neglected in the past studies, is very important for studying the nonequilibrium electron-ion relaxation dynamics of iron in warm dense matter (WDM) conditions. It is also shown that the 1/s behavior becomes very sensitive to the thermal gradient profile, in other words, to the values of K in a TTM simulation, for target thickness of about two to four times the mean free path of conduction electrons. Our approach based on 1D-TTM and XANES simulations can be used to determine the optimal combination of target geometry and laser fluence for a given target material, which will enable us to tightly constrain the thermophysical parameters under electron-ion nonequilibrium WDM conditions.},
doi = {10.1103/physrevb.97.214203},
journal = {Physical Review B},
number = 21,
volume = 97,
place = {United States},
year = {Mon Jun 11 00:00:00 EDT 2018},
month = {Mon Jun 11 00:00:00 EDT 2018}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Evidence for site-sensitive screening of core holes at the Si and Ge (001) surface
journal, October 1993
- Pehlke, E.; Scheffler, M.
- Physical Review Letters, Vol. 71, Issue 14
Specific Heat of High Purity Iron by a Pulse Heating Method
journal, January 1960
- Wallace, D. C.; Sidles, P. H.; Danielson, G. C.
- Journal of Applied Physics, Vol. 31, Issue 1
Thermal conductivity of bulk electrodeposited nanocrystalline nickel
journal, September 2016
- Cho, H. J.; Wang, S.; Zhou, Y.
- International Journal of Heat and Mass Transfer, Vol. 100
Influence of grain boundary scattering on the electrical properties of platinum nanofilms
journal, September 2006
- Zhang, Q. G.; Zhang, X.; Cao, B. Y.
- Applied Physics Letters, Vol. 89, Issue 11
Electrical and thermal transport in single nickel nanowire
journal, February 2008
- Ou, M. N.; Yang, T. J.; Harutyunyan, S. R.
- Applied Physics Letters, Vol. 92, Issue 6
Primary structural dynamics in graphite
journal, June 2011
- Schäfer, Sascha; Liang, Wenxi; Zewail, Ahmed H.
- New Journal of Physics, Vol. 13, Issue 6
Colloquium : Nanoplasmas generated by intense radiation
journal, January 2016
- Ostrikov, Kostya (Ken); Beg, Farhat; Ng, Andrew
- Reviews of Modern Physics, Vol. 88, Issue 1
Electrical Resistivity Model for Polycrystalline Films: the case of Specular Reflection at External Surfaces
journal, June 1969
- Mayadas, A. F.; Shatzkes, M.; Janak, J. F.
- Applied Physics Letters, Vol. 14, Issue 11
Interaction of femtosecond laser pulses with ultrathin foils
journal, August 1998
- Forsman, A.; Ng, A.; Chiu, G.
- Physical Review E, Vol. 58, Issue 2
Ultrafast magnetization enhancement in metallic multilayers driven by superdiffusive spin current
journal, January 2012
- Rudolf, Dennis; La-O-Vorakiat, Chan; Battiato, Marco
- Nature Communications, Vol. 3, Issue 1
Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium
journal, February 2008
- Lin, Zhibin; Zhigilei, Leonid V.; Celli, Vittorio
- Physical Review B, Vol. 77, Issue 7
Ultrafast Magneto-Optics in Nickel: Magnetism or Optics?
journal, July 2000
- Koopmans, B.; van Kampen, M.; Kohlhepp, J. T.
- Physical Review Letters, Vol. 85, Issue 4
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009
- Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
- Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502
Electronic Structure of Warm Dense Copper Studied by Ultrafast X-Ray Absorption Spectroscopy
journal, April 2011
- Cho, B. I.; Engelhorn, K.; Correa, A. A.
- Physical Review Letters, Vol. 106, Issue 16
Theory of laser-induced ultrafast superdiffusive spin transport in layered heterostructures
journal, July 2012
- Battiato, M.; Carva, K.; Oppeneer, P. M.
- Physical Review B, Vol. 86, Issue 2
Time-resolved structural dynamics of thin metal films heated with femtosecond optical pulses
journal, November 2011
- Chen, J.; Chen, W. -K.; Tang, J.
- Proceedings of the National Academy of Sciences, Vol. 108, Issue 47
Ultrafast optical manipulation of magnetic order
journal, September 2010
- Kirilyuk, Andrei; Kimel, Alexey V.; Rasing, Theo
- Reviews of Modern Physics, Vol. 82, Issue 3
Single-State Measurement of Electrical Conductivity of Warm Dense Gold
journal, March 2004
- Widmann, K.; Ao, T.; Foord, M. E.
- Physical Review Letters, Vol. 92, Issue 12
Electrical-Resistivity Model for Polycrystalline Films: the Case of Arbitrary Reflection at External Surfaces
journal, February 1970
- Mayadas, A. F.; Shatzkes, M.
- Physical Review B, Vol. 1, Issue 4
Core-level lifetimes as determined by x-ray photoelectron spectroscopy measurements
journal, October 1980
- Fuggle, John C.; Alvarado, Santos F.
- Physical Review A, Vol. 22, Issue 4
Effect of Grain Boundaries on the Electrical Resistivity of High‐Purity Iron at 4.2°K
journal, March 1967
- Arajs, Sigurds; Oliver, B. F.; Michalak, J. T.
- Journal of Applied Physics, Vol. 38, Issue 4
Finite temperature dense matter studies on next-generation light sources
journal, January 2003
- Lee, Richard W.; Moon, Stephen J.; Chung, Hyun-Kyung
- Journal of the Optical Society of America B, Vol. 20, Issue 4
Electronic Excitations in Metals and at Metal Surfaces
journal, October 2006
- Chulkov, E. V.; Borisov, A. G.; Gauyacq, J. P.
- Chemical Reviews, Vol. 106, Issue 10
Reciprocal Relations in Irreversible Processes. I.
journal, February 1931
- Onsager, Lars
- Physical Review, Vol. 37, Issue 4
Coherent and Incoherent Electron-Phonon Coupling in Graphite Observed with Radio-Frequency Compressed Ultrafast Electron Diffraction
journal, December 2014
- Chatelain, Robert P.; Morrison, Vance R.; Klarenaar, Bart L. M.
- Physical Review Letters, Vol. 113, Issue 23
X-Ray Absorption Spectra of Water from First Principles Calculations
journal, May 2006
- Prendergast, David; Galli, Giulia
- Physical Review Letters, Vol. 96, Issue 21
Idealized slab plasma approach for the study of warm dense matter
journal, October 2005
- Ng, A.; Ao, T.; Perrot, F.
- Laser and Particle Beams, Vol. 23, Issue 4
The Formation of Warm Dense Matter: Experimental Evidence for Electronic Bond Hardening in Gold
journal, February 2009
- Ernstorfer, R.; Harb, M.; Hebeisen, C. T.
- Science, Vol. 323, Issue 5917
Femtosecond modification of electron localization and transfer of angular momentum in nickel
journal, August 2007
- Stamm, C.; Kachel, T.; Pontius, N.
- Nature Materials, Vol. 6, Issue 10
Thermal and Electrical Conduction in Ultrathin Metallic Films: 7 nm down to Sub-Nanometer Thickness
journal, February 2013
- Lin, Huan; Xu, Shen; Wang, Xinwei
- Small, Vol. 9, Issue 15
Femtosecond X-ray measurement of coherent lattice vibrations near the Lindemann stability limit
journal, March 2003
- Sokolowski-Tinten, Klaus; Blome, Christian; Blums, Juris
- Nature, Vol. 422, Issue 6929
Bloch-state-based interpolation: An efficient generalization of the Shirley approach to interpolating electronic structure
journal, December 2009
- Prendergast, David; Louie, Steven G.
- Physical Review B, Vol. 80, Issue 23
Temperature and density dependence of XANES spectra in warm dense aluminum plasmas
journal, August 2009
- Recoules, V.; Mazevet, S.
- Physical Review B, Vol. 80, Issue 6
Electrical resistivity and thermal conductivity of liquid Fe alloys at high P and T, and heat flux in Earth's core
journal, February 2012
- de Koker, N.; Steinle-Neumann, G.; Vlcek, V.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 11
Phonon effects on x-ray absorption and nuclear magnetic resonance spectroscopies
journal, October 2015
- Nemausat, Ruidy; Cabaret, Delphine; Gervais, Christel
- Physical Review B, Vol. 92, Issue 14
Microscopic Theory of the Temperature-Pressure Phase Diagram of Iron
journal, January 1983
- Hasegawa, H.; Pettifor, D. G.
- Physical Review Letters, Vol. 50, Issue 2
Dynamics of electron-magnon interaction and ultrafast demagnetization in thin iron films
journal, November 2008
- Carpene, E.; Mancini, E.; Dallera, C.
- Physical Review B, Vol. 78, Issue 17
Ab initio model of optical properties of two-temperature warm dense matter
journal, July 2014
- Holst, B.; Recoules, V.; Mazevet, S.
- Physical Review B, Vol. 90, Issue 3
Superdiffusive Spin Transport as a Mechanism of Ultrafast Demagnetization
journal, July 2010
- Battiato, M.; Carva, K.; Oppeneer, P. M.
- Physical Review Letters, Vol. 105, Issue 2
Coherent ultrafast magnetism induced by femtosecond laser pulses
journal, May 2009
- Bigot, Jean-Yves; Vomir, Mircea; Beaurepaire, Eric
- Nature Physics, Vol. 5, Issue 7
Prediction of size effect on thermal conductivity of nanoscale metallic films
journal, February 2009
- Feng, Bo; Li, Zhixin; Zhang, Xing
- Thin Solid Films, Vol. 517, Issue 8
Grain boundary resistivities of polycrystalline Au films
journal, September 2011
- Zhang, Xin; Song, Xiaohui; Zhang, Xiao-Guang
- EPL (Europhysics Letters), Vol. 96, Issue 1
Laser-induced phonon-phonon interactions in bismuth
journal, December 2006
- Zijlstra, Eeuwe S.; Tatarinova, Larisa L.; Garcia, Martin E.
- Physical Review B, Vol. 74, Issue 22
Magnetism in iron and nickel
journal, May 1982
- Wang, C. S.; Prange, R. E.; Korenman, V.
- Physical Review B, Vol. 25, Issue 9
An Atomic-Level View of Melting Using Femtosecond Electron Diffraction
journal, November 2003
- Siwick, Bradley J.; Dwyer, Jason R.; Jordan, Robert E.
- Science, Vol. 302, Issue 5649
Effect of Intense Laser Irradiation on the Lattice Stability of Semiconductors and Metals
journal, February 2006
- Recoules, V.; Clérouin, J.; Zérah, G.
- Physical Review Letters, Vol. 96, Issue 5
Real-space finite-difference calculations of XANES spectra along the aluminum Hugoniot from molecular dynamics simulations
journal, December 2010
- Peyrusse, O.
- High Energy Density Physics, Vol. 6, Issue 4
Magnetization dynamics of Ni and Co films on Cu(001) and of bulk nickel surfaces
journal, March 1999
- Güdde, J.; Conrad, U.; Jähnke, V.
- Physical Review B, Vol. 59, Issue 10
The mean free path of electrons in metals
journal, January 1952
- Sondheimer, E. H.
- Advances in Physics, Vol. 1, Issue 1
Ab initio determination of electrical and thermal conductivity of liquid aluminum
journal, September 2005
- Recoules, Vanina; Crocombette, Jean-Paul
- Physical Review B, Vol. 72, Issue 10
Nonequilibrium Magnetization Dynamics of Nickel
journal, June 1997
- Hohlfeld, J.; Matthias, E.; Knorren, R.
- Physical Review Letters, Vol. 78, Issue 25
Outstanding questions in electron-ion energy relaxation, lattice stability, and dielectric function of warm dense matter
journal, September 2011
- Ng, Andrew
- International Journal of Quantum Chemistry, Vol. 112, Issue 1
Measurement of Electron-Ion Relaxation in Warm Dense Copper
journal, January 2016
- Cho, B. I.; Ogitsu, T.; Engelhorn, K.
- Scientific Reports, Vol. 6, Issue 1
Hot-Electron-Driven Enhancement of Spin-Lattice Coupling in Gd and Tb Ferromagnets Observed by Femtosecond X-Ray Magnetic Circular Dichroism
journal, March 2011
- Wietstruk, Marko; Melnikov, Alexey; Stamm, Christian
- Physical Review Letters, Vol. 106, Issue 12
Size-dependent resistivity of metallic wires in the mesoscopic range
journal, August 2002
- Steinhögl, Werner; Schindler, Günther; Steinlesberger, Gernot
- Physical Review B, Vol. 66, Issue 7
The Law of Wiedemann and Franz
journal, May 1961
- Chester, G. V.; Thellung, A.
- Proceedings of the Physical Society, Vol. 77, Issue 5
Ballistic electron transport in non-equilibrium warm dense gold
journal, September 2012
- Ogitsu, Tadashi; Ping, Yuan; Correa, Alfredo
- High Energy Density Physics, Vol. 8, Issue 3
Evolution of ac Conductivity in Nonequilibrium Warm Dense Gold
journal, March 2013
- Chen, Z.; Holst, B.; Kirkwood, S. E.
- Physical Review Letters, Vol. 110, Issue 13
X-ray absorption spectra: K-edges of 3d transition metals, L-edges of 3d and 4d metals, and M-edges of palladium
journal, May 1982
- Müller, J. E.; Jepsen, O.; Wilkins, J. W.
- Solid State Communications, Vol. 42, Issue 5
Ultrafast Spin Dynamics in Ferromagnetic Nickel
journal, May 1996
- Beaurepaire, E.; Merle, J. -C.; Daunois, A.
- Physical Review Letters, Vol. 76, Issue 22
Resistivity and Temperature Coefficient of Thin Metal Films with Rough Surface
journal, November 1970
- Namba, Yoshikatsu
- Japanese Journal of Applied Physics, Vol. 9, Issue 11
The probing depth in photoemission and auger-electron spectroscopy
journal, January 1974
- Lindau, I.; Spicer, W. E.
- Journal of Electron Spectroscopy and Related Phenomena, Vol. 3, Issue 5
Ab Initio Investigation of the Elliott-Yafet Electron-Phonon Mechanism in Laser-Induced Ultrafast Demagnetization
journal, November 2011
- Carva, K.; Battiato, M.; Oppeneer, P. M.
- Physical Review Letters, Vol. 107, Issue 20
Calculations of the transport properties within the PAW formalism
journal, January 2010
- Mazevet, S.; Torrent, M.; Recoules, V.
- High Energy Density Physics, Vol. 6, Issue 1
Feedback Effect during Ultrafast Demagnetization Dynamics in Ferromagnets
journal, October 2013
- Mueller, B. Y.; Baral, A.; Vollmar, S.
- Physical Review Letters, Vol. 111, Issue 16
Ab-Initio Simulations of the Optical Properties of Warm Dense Gold
journal, August 2005
- Mazevet, S.; Clérouin, J.; Recoules, V.
- Physical Review Letters, Vol. 95, Issue 8
Theory of thermal relaxation of electrons in metals
journal, September 1987
- Allen, Philip B.
- Physical Review Letters, Vol. 59, Issue 13
Broadband Dielectric Function of Nonequilibrium Warm Dense Gold
journal, June 2006
- Ping, Y.; Hanson, D.; Koslow, I.
- Physical Review Letters, Vol. 96, Issue 25
Explaining the paradoxical diversity of ultrafast laser-induced demagnetization
journal, December 2009
- Koopmans, B.; Malinowski, G.; Dalla Longa, F.
- Nature Materials, Vol. 9, Issue 3
Thermal conduction in thin films measured by optical surface thermal lensing
journal, October 2010
- Bourgoin, Jean-Philippe; Allogho, Guy-Germain; Haché, Alain
- Journal of Applied Physics, Vol. 108, Issue 7
Spin-dependent hot electron transport in and films on GaAs(001)
journal, September 2002
- van Dijken, Sebastiaan; Jiang, Xin; Parkin, Stuart S. P.
- Physical Review B, Vol. 66, Issue 9
Observation of inhibited electron-ion coupling in strongly heated graphite
journal, November 2012
- White, T. G.; Vorberger, J.; Brown, C. R. D.
- Scientific Reports, Vol. 2, Issue 1
Ultrafast spin transport as key to femtosecond demagnetization
journal, January 2013
- Eschenlohr, A.; Battiato, M.; Maldonado, P.
- Nature Materials, Vol. 12, Issue 4
Influence of grain boundary scattering on the electrical and thermal conductivities of polycrystalline gold nanofilms
journal, October 2006
- Zhang, Q. G.; Cao, B. Y.; Zhang, X.
- Physical Review B, Vol. 74, Issue 13
Relaxation dynamics in laser-excited metals under nonequilibrium conditions
journal, January 2013
- Mueller, B. Y.; Rethfeld, B.
- Physical Review B, Vol. 87, Issue 3
Evidence for thermal mechanisms in laser-induced femtosecond spin dynamics
journal, May 2010
- Atxitia, U.; Chubykalo-Fesenko, O.; Walowski, J.
- Physical Review B, Vol. 81, Issue 17
Electron thermalization in gold
journal, November 1992
- Fann, W. S.; Storz, R.; Tom, H. W. K.
- Physical Review B, Vol. 46, Issue 20
Electrical and Thermal Conduction in Atomic Layer Deposition Nanobridges Down to 7 nm Thickness
journal, January 2012
- Yoneoka, Shingo; Lee, Jaeho; Liger, Matthieu
- Nano Letters, Vol. 12, Issue 2
Femtosecond spin dynamics of epitaxial Cu(111)/Ni/Cu wedges
journal, May 2000
- Koopmans, B.; van Kampen, M.; Kohlhepp, J. T.
- Journal of Applied Physics, Vol. 87, Issue 9
First-principles calculations of solid and liquid aluminum optical absorption spectra near the melting curve: Ambient and high-pressure results
journal, December 2009
- Ogitsu, Tadashi; Benedict, Lorin X.; Schwegler, Eric
- Physical Review B, Vol. 80, Issue 21
Temperature Dependence of Laser-Induced Demagnetization in Ni: A Key for Identifying the Underlying Mechanism
journal, May 2012
- Roth, T.; Schellekens, A. J.; Alebrand, S.
- Physical Review X, Vol. 2, Issue 2
Optical Properties in Nonequilibrium Phase Transitions
journal, February 2006
- Ao, T.; Ping, Y.; Widmann, K.
- Physical Review Letters, Vol. 96, Issue 5
X-ray absorption edge as a diagnostic of the electronic temperature in warm dense aluminum
journal, August 2015
- Dorchies, F.; Festa, F.; Recoules, V.
- Physical Review B, Vol. 92, Issue 8
Direct measurement of nonequilibrium electron-energy distributions in subpicosecond laser-heated gold films
journal, May 1992
- Fann, W. S.; Storz, R.; Tom, H. W. K.
- Physical Review Letters, Vol. 68, Issue 18
Lifetimes and inelastic mean free path of low-energy excited electrons in Fe, Ni, Pt, and Au: Ab initio calculations
journal, March 2006
- Zhukov, V. P.; Chulkov, E. V.; Echenique, P. M.
- Physical Review B, Vol. 73, Issue 12
Investigating the contribution of superdiffusive transport to ultrafast demagnetization of ferromagnetic thin films
journal, June 2013
- Schellekens, A. J.; Verhoeven, W.; Vader, T. N.
- Applied Physics Letters, Vol. 102, Issue 25
Experimental study on the influences of grain boundary scattering on the charge and heat transport in gold and platinum nanofilms
journal, July 2011
- Wang, Hai-Dong; Liu, Jin-Hui; Zhang, Xing
- Heat and Mass Transfer, Vol. 47, Issue 8
Phonon dispersion relations and softening in photoexcited bismuth from first principles
journal, May 2007
- Murray, É. D.; Fahy, S.; Prendergast, D.
- Physical Review B, Vol. 75, Issue 18
Works referencing / citing this record:
First-Principles Determination of Electron-Ion Couplings in the Warm Dense Matter Regime
text, January 2019
- Simoni, Jacopo; Daligault, Jérôme
- arXiv
Figures / Tables found in this record: