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Nguyen QLD, Simoni J, Dorney KM, Shi X, Ellis JL, Brooks NJ, Hickstein DD, Grennell AG, Yazdi S, Campbell EEB, Tan LZ, Prendergast D, Daligault J, Kapteyn HC, Murnane MM. Direct Observation of Enhanced Electron-Phonon Coupling in Copper Nanoparticles in the Warm-Dense Matter Regime. PHYSICAL REVIEW LETTERS 2023; 131:085101. [PMID: 37683150 DOI: 10.1103/physrevlett.131.085101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/20/2021] [Revised: 06/27/2022] [Accepted: 05/26/2023] [Indexed: 09/10/2023]
Abstract
Warm dense matter (WDM) represents a highly excited state that lies at the intersection of solids, plasmas, and liquids and that cannot be described by equilibrium theories. The transient nature of this state when created in a laboratory, as well as the difficulties in probing the strongly coupled interactions between the electrons and the ions, make it challenging to develop a complete understanding of matter in this regime. In this work, by exciting isolated ∼8 nm copper nanoparticles with a femtosecond laser below the ablation threshold, we create uniformly excited WDM. Using photoelectron spectroscopy, we measure the instantaneous electron temperature and extract the electron-ion coupling of the nanoparticle as it undergoes a solid-to-WDM phase transition. By comparing with state-of-the-art theories, we confirm that the superheated nanoparticles lie at the boundary between hot solids and plasmas, with associated strong electron-ion coupling. This is evidenced both by a fast energy loss of electrons to ions, and a strong modulation of the electron temperature induced by strong acoustic breathing modes that change the nanoparticle volume. This work demonstrates a new route for experimental exploration of the exotic properties of WDM.
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Affiliation(s)
- Quynh L D Nguyen
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
| | - Jacopo Simoni
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
- Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Kevin M Dorney
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
| | - Xun Shi
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
| | - Jennifer L Ellis
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
| | - Nathan J Brooks
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
| | - Daniel D Hickstein
- Kapteyn-Murnane Laboratories Inc., 4775 Walnut St #102, Boulder, Colorado 80301, USA
| | - Amanda G Grennell
- Department of Chemistry, University of Colorado Boulder, Boulder, Colorado 80309 80309, USA
| | - Sadegh Yazdi
- Renewable and Sustainable Energy Institute, University of Colorado Boulder, Boulder, Colorado 80309, USA
| | - Eleanor E B Campbell
- EaStCHEM, School of Chemistry, Edinburgh University, David Brewster Road, Edinburgh EH9 3FJ, United Kingdom
- Department of Physics, Ewha Womans University, Seoul 03760, Republic of Korea
| | - Liang Z Tan
- Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - David Prendergast
- Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Jerome Daligault
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Henry C Kapteyn
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
- Kapteyn-Murnane Laboratories Inc., 4775 Walnut St #102, Boulder, Colorado 80301, USA
| | - Margaret M Murnane
- JILA, Department of Physics, University of Colorado and NIST, Boulder, Colorado 80309, USA
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Dharma-Wardana MWC, Stanek LJ, Murillo MS. Yukawa-Friedel-tail pair potentials for warm dense matter applications. Phys Rev E 2022; 106:065208. [PMID: 36671176 DOI: 10.1103/physreve.106.065208] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2022] [Accepted: 12/01/2022] [Indexed: 06/17/2023]
Abstract
Accurate equations of state (EOS) and plasma transport properties are essential for numerical simulations of warm dense matter encountered in many high-energy-density situations. Molecular dynamics (MD) is a simulation method that generates EOS and transport data using an externally provided potential to dynamically evolve the particles without further reference to the electrons. To minimize computational cost, pair potentials needed in MD may be obtained from the neutral-pseudoatom (NPA) approach, a form of single-ion density functional theory (DFT), where many-ion effects are included via ion-ion correlation functionals. Standard N-ion DFT-MD provides pair potentials via the force matching technique but at much greater computational cost. Here we propose a simple analytic model for pair potentials with physically meaningful parameters based on a Yukawa form with a thermally damped Friedel tail (YFT) applicable to systems containing free electrons. The YFT model accurately fits NPA pair potentials or the nonparametric force-matched potentials from N-ion DFT-MD, showing excellent agreement for a wide range of conditions. The YFT form provides accurate extrapolations of the NPA or force-matched potentials for small and large particle separations within a physical model. Our method can be adopted to treat plasma mixtures, allowing for large-scale simulations of multispecies warm dense matter.
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Affiliation(s)
| | - Lucas J Stanek
- Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48824, USA
| | - Michael S Murillo
- Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, Michigan 48824, USA
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Vorberger J, Gericke DO, Bornath T, Schlanges M. Energy relaxation in dense, strongly coupled two-temperature plasmas. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:046404. [PMID: 20481844 DOI: 10.1103/physreve.81.046404] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/25/2009] [Revised: 03/01/2010] [Indexed: 05/29/2023]
Abstract
A quantum kinetic approach for the energy relaxation in strongly coupled plasmas with different electron and ion temperatures is presented. Based on the density operator formalism, we derive a balance equation for the energies of electrons and ions connecting kinetic, correlation, and exchange energies with a quite general expression for the electron-ion energy-transfer rate. The latter is given in terms of the correlation function of density fluctuations which allows for a derivation of increasingly realistic approximation schemes including a coupled-mode expression. The equilibration of the contributions of the total energy including the species temperatures in dense hydrogen and beryllium relevant for inertial confinement fusion is investigated as an example.
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Affiliation(s)
- J Vorberger
- Department of Physics, University of Warwick, Centre for Fusion, Space and Astrophysics, Coventry CV4 7Al, United Kingdom
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Dharma-Wardana MWC. Quantum corrections and bound-state effects in the energy relaxation of hot dense hydrogen. PHYSICAL REVIEW LETTERS 2008; 101:035002. [PMID: 18764259 DOI: 10.1103/physrevlett.101.035002] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2008] [Indexed: 05/26/2023]
Abstract
Simple analytic formulas for energy relaxation (ER) in electron-ion systems, with quantum corrections, ion dynamics, and RPA-type screening are presented. ER in the presence of bound electrons is examined in view of recent simulations for ER in hydrogen in the range 10{20}-10{24} electrons/cc.
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