Temperature relaxation in two-temperature states of dense electron-ion systems

Hazak, G.; Zinamon, Z.; Rosenfeld, Yaakov; Dharma‐wardana, M. W. C.

doi:10.1103/physreve.64.066411

Cited by 60 publications

(69 citation statements)

References 7 publications

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“…[10]) in this limit. The differences between the FGR and LS results for smaller electron temperatures are due to the different definition of "Coulomb logarithms" as the FGR approach was shown to reduce to a LS-like formula [13]. On the other hand, the CM expression (5) gives considerably reduced energy transfer rates even in this high electron temperature limit as the ion accoustic modes are well-pronounced here.…”

Section: A Results For Hydrogen Within Rpamentioning

confidence: 91%

“…A full quantum binary collision approach yields however even larger energy transfer rates [10,11,12]. Considering independent collective modes in the electronic and ionic subsystems within the Fermi-GoldenRule (FGR) approach yields rates very close to the Landau-Spitzer results [13]. Therefore, collective modes in fully coupled electron-ion systems seem to be the only candidate to explain the lower electron-ion energy transfer measured.…”

Section: Introductionmentioning

confidence: 92%

“…It can be shown that the FGR rate reduces to LandauSpitzer (LS) if classical expressions for the dielectric function are used [13,33]. Although both, the CM expression (5) and the FGR formula (6), contain effects of collective excitations, they describe quite different systems since the spectra of the modes do not agree.…”

Section: Collective Modes In Weakly Coupled Plasmasmentioning

confidence: 99%

“…It should be mentioned here that the changes due to SLFC influence only the CM rates. Within the FGR approach, the ω-integration is essentially determined by the f-sum rule [13,33] which gives the same result independent of the approximation level used. Therefore, strong coupling effects are always included in the FGR rates.…”

Section: Incorporation Of Strong Coupling Effectsmentioning

confidence: 99%

“…However, we find a further reduction of the CM rates when the effect of strong coupling is included by static local field corrections. Since the FGR approach naturally includes strong coupling effect [13], no changes occur within this approach. Accordingly, we find now a factor of roughly two between the rates calculated by the CM and FGR expressions, respectively.…”

Section: B Charge State and Strong Coupling Effectsmentioning

confidence: 99%

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Coupled mode effects on energy transfer in weakly coupled, two-temperature plasmas

Vorberger

Gericke

2009

Physics of Plasmas

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We investigate the effects of collective modes on the temperature relaxation rates in fully coupled electron-ion systems. Firstly, the well-understood limit of weakly coupled plasmas is considered and the coupled mode formula within the random phase approximation is derived starting from the Lenard-Balescu kinetic equation. We show how the frequency integration can be performed by standard methods without applying additional approximations. Due to the well-defined approximation scheme, the results can serve as a benchmark for more approximate theories and numerical simulations in this limit. The coupled mode electron-ion transfer rates show a considerable reduction compared to the Fermi-Golden Rule approach for certain parameters and very small changes for other systems. We demonstrate how these coupled mode effects are connected to the occurance of ion acoustic modes and under which conditions they occur. Interestingly, coupled mode effects can also occur for plasmas with very high electron temperatures; a regime, where the Landau-Spitzer approach is believed to give accurate results. Finally, we extend the approach to systems with strongly coupled ions by applying static local field corrections. This extension can substantially increase the coupled mode effects.

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Section: A Results For Hydrogen Within Rpamentioning

confidence: 91%

Section: Introductionmentioning

confidence: 92%

Section: Collective Modes In Weakly Coupled Plasmasmentioning

confidence: 99%

Section: Incorporation Of Strong Coupling Effectsmentioning

confidence: 99%

Section: B Charge State and Strong Coupling Effectsmentioning

confidence: 99%

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Coupled mode effects on energy transfer in weakly coupled, two-temperature plasmas

Vorberger

Gericke

2009

Physics of Plasmas

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A Review of Studies on Strongly‐Coupled Coulomb Systems Since the Rise of DFT and SCCS‐1977

Dharma‐wardana

2015

Contrib. Plasma Phys.

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The conferences on "Strongly Coupled Coulomb Systems" (SCCS) arose from the "Strongly Coupled Plasmas" meetings, inaugurated in 1977. The progress in SCCS theory is reviewed in an 'author-centered' frame to limit its scope. Our efforts, i.e., with François Perrot, sought to apply density functional theory (DFT) to SCCS calculations. DFT was then poised to become the major computational scheme for condensed matter physics. The ion-sphere models of Salpeter and others evolved into useful average-atom models for finite-T Coulomb systems, as in Lieberman's Inferno code. We replaced these by correlation-sphere models that exploit the description of matter via density functionals linked to pair-distributions. These methods provided practical computational means for studying strongly interacting electron-ion Coulomb systems like warm-dense matter (WDM). The staples of SCCS are wide-ranged, viz., equation of state, plasma spectroscopy, opacity (absorption, emission), scattering, level shifts, transport properties, e.g., electrical and heat conductivity, laser-and shock-created plasmas, their energy relaxation and transient properties etc. These calculations need pseudopotentials and exchange-correlation functionals applicable to finite-T Coulomb systems that may be used in ab initio codes, molecular dynamics, etc. The search for simpler computational schemes has proceeded via proposals for orbital-free DFT, statistical potentials, classical maps of quantum systems using classical schemes like HNC to include strong coupling effects (CHNC). Laughlin's classical plasma map for the fractional quantum Hall effect (FQHE) is a seminal example where we report new results for graphene.

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Influence of the ion core on relaxation processes in dense plasmas

Ramazanov,

Kodanova,

Issanova

et al. 2024

Contributions to Plasma Physics

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The effect of an ionic core on the temperature relaxation in dense hot plasma of beryllium is studied using the pseudpotential model by Gericke et al [Phys. Rev. E 2010, 81, 065401(R)]. Employing the screened version of the ion pseudpotential [by Ramazanov et al, Phys. Plasmas 2021, 28 (9), 092702], we computed the quantum transport cross section for the electron‐ion collisions in dense beryllium plasma, where screening is taking into account using the density response function in the long‐wavelength regime. The results for the transport cross section are used to compute a generalised Coulomb logarithm and electron‐ion collision frequency. Utilizing the latter, we show the effect of the ionic core on the temperature relaxation. To understand the role of the ionic core, we compare the results with the data computed considering ions as point‐like charges.

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Temperature relaxation in two-temperature states of dense electron-ion systems

Cited by 60 publications

References 7 publications

Coupled mode effects on energy transfer in weakly coupled, two-temperature plasmas

Coupled mode effects on energy transfer in weakly coupled, two-temperature plasmas

A Review of Studies on Strongly‐Coupled Coulomb Systems Since the Rise of DFT and SCCS‐1977

Influence of the ion core on relaxation processes in dense plasmas

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