Linear and nonlinear quantum dust ion acoustic wave with dust size distribution effect

Warm dense matter (WDM) -an exotic state of highly compressed matter -has attracted high interest in recent years in astrophysics and for dense laboratory systems. At the same time, this state is extremely difficult to treat theoretically. This is due to the simultaneous appearance of quantum degeneracy, Coulomb correlations and thermal effects, as well as the overlap of plasma and condensed phases. Recent breakthroughs are due to the successful application of density functional theory (DFT) methods which, however, often lack the necessary accuracy and predictive capability for WDM applications. The situation has changed with the availability of the first ab initio data for the exchange-correlation free energy of the warm dense uniform electron gas (UEG) that were obtained by quantum Monte Carlo (QMC) simulations, for recent reviews, see Dornheim et al., Phys. Plasmas 24, 056303 (2017) and Phys. Rep. 744, 1-86 (2018). In the present article we review recent further progress in QMC simulations of the warm dense UEG: namely, ab initio results for the static local field correction G(q) and for the dynamic structure factor S(q, ω). These data are of key relevance for the comparison with x-ray scattering experiments at free electron laser facilities and for the improvement of theoretical models.In the second part of this paper we discuss simulations of WDM out of equilibrium. The theoretical approaches include Born-Oppenheimer molecular dynamics, quantum kinetic theory, timedependent DFT and hydrodynamics. Here we analyze strengths and limitations of these methods and argue that progress in WDM simulations will require a suitable combination of all methods. A particular role might be played by quantum hydrodynamics, and we concentrate on problems, recent progress, and possible improvements of this method.

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“…in Ref. [246]. A second strategy that is closer to the topics discussed in this paper is to directly use ab initio input from QMC.…”

Section: H Limitations and Further Improvement Of Qhd: Nonlocal And mentioning

confidence: 99%

Ab initio simulation of warm dense matter

et al. 2020

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“…The QHD model generalizes the fluid model for plasmas with the inclusion of quantum correction term also known as Bohm potential. In addition, there are several reports on the nonlinear quantum acoustic waves characteristics in a quantum plasma (Garcia et al 2005;Ali and Shukla 2006;Mahmood and Masood 2008;El-Labany et al 2010a). Moreover, quantum electron-acoustic solitary wave (QEASWs) represents one of the most important aspects of nonlinear waves in a modern quantum plasma researches.…”

Section: Introductionmentioning

confidence: 99%

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

El‐Labany

El-Shamy

Elmahgoub

2012

Astrophys Space Sci

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The effects of Bohm potential on the headon collision between two quantum electron-acoustic solitary waves (QEASWs) in two electron species quantum plasma have been investigated using the extended Poincaré-Lighthill-Kuo (PLK) method. The analytical phase shifts after the head-on collision of the two QEASWs are derived. Numerically, in two cases (i.e., the dense solid state plasma and the dense astrophysical environments), the results show that the cold electron-to-hot electron number density ratio, the quantum corrections of diffraction and Fermi temperature of hot electrons have strong effects on the nature of the phase shifts and the trajectories of two QEASWs after collision.

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“…However, the assumption of mono-sized dust grains may not be valid, and the dust size may indeed vary from nanometer to micrometer. Other researchers [22][23][24][25][26][27][28][29] have investigated the effect of dust size distribution on waves propagating in plasmas. Recently, Benlemdjaldi et al 7 plasmas without considering particles attachment to dust grains.…”

Section: Introductionmentioning

confidence: 99%

Effect of particles attachment to multi-sized dust grains present in electrostatic sheaths of discharge plasmas

et al. 2014

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The loss of electrons and ions due to their attachment to a Gauss-distributed sizes of dust grains present in electrostatic sheaths of discharge plasmas is investigated. A uni-dimensional, unmagnetized, and stationary multi-fluid model is proposed. Forces acting on the dust grain along with its charge are self-consistently calculated, within the limits of the orbit motion limited model. The dynamic analysis of dust grains shows that the contribution of the neutral drag force in the net force acting on the dust grain is negligible, whereas the contribution of the gravity force is found considerable only for micrometer particles. The dust grains trapping is only possible when the electrostatic force is balanced by the ion drag and the gravity forces. This trapping occurs for a limited radius interval of micrometer dust grains, which is around the most probable dust grain radius. The effect of electron temperature and ion density at the sheath edge is also discussed. It is shown that the attachment of particles reduces considerably the sheath thickness and induces dust grain deceleration. The increase of the lower limit as well as the upper limit of the dust radius reduces also the sheath thickness. V C 2014 AIP Publishing LLC.

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Linear and nonlinear quantum dust ion acoustic wave with dust size distribution effect

Cited by 18 publications

References 24 publications

Ab initio simulation of warm dense matter

Ab initio simulation of warm dense matter

Quantum electron-acoustic solitary waves interaction in dense electron-ion plasmas

Effect of particles attachment to multi-sized dust grains present in electrostatic sheaths of discharge plasmas

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