Quantum Hydrodynamics

Khan, S. A.; Bönitz, M.

doi:10.1007/978-3-319-05437-7_4

Cited by 25 publications

(20 citation statements)

References 80 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…V B). Additionally, for a single quantum state, we have λ w = 1 [30,60]. This somehow suggests that λ w should approach 1 in the electrontail region (the region far outside the metal).…”

Section: A Functional Energymentioning

confidence: 85%

“…Macroscopic hydrodynamic theory for a free electron gas can be derived from different starting points, such as the semiclassical Hamiltonian including the quantum functional energy [36,37], the Boltzmann equation [70], the one-particle Winger distribution function [59,60] or even quantum many-body SEs [18,19]. Here, from the semiclassical Hamiltonian [36,37], we outline the route to the QHT.…”

Section: Hydrodynamic Descriptionmentioning

confidence: 99%

“…The first term of g is known as the Thomas-Fermi (TF) term [71,72], which represents the quantum-kinetic energy for a uniform electron gas. The second term is the von Weizsäcker (VW) term or the quantum-pressure energy term [56,60], which gives the leading-order correction to the TF term due to the inhomogeneity. The third and fourth terms represent Wigner's exchange and correlation energies, respectively, under the local-density approximation (LDA) [73].…”

Section: A Functional Energymentioning

confidence: 99%

“…However, the exact dependence is not clear in the surface region (the region around the metal boundary). To work around this obstacle, one usually simply sets λ w to be a constant between 1 and 1/9 [54,[58][59][60]67,68]. This is also the chosen scheme in the present paper.…”

Section: A Functional Energymentioning

confidence: 99%

“…This correction is known as the von Weizsäcker (VW) term [56,57] and one may add the exchange and correlation Coulomb corrections for the further improvement of accuracy [54,58]. Such extended HT is usually referred to by the abbreviation TFVWHT [54] or alternatively the quantum-hydrodynamic theory (QHT) [59,60]. In this paper we will adapt the latter name.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Hydrodynamic theory for quantum plasmonics: Linear-response dynamics of the inhomogeneous electron gas

Yan

2015

Phys. Rev. B

View full text Add to dashboard Cite

We investigate the hydrodynamic theory of metals, offering systematic studies of the linear-response dynamics for an inhomogeneous electron gas. We include the quantum functional terms of the Thomas-Fermi kinetic energy, the von Weizsäcker kinetic energy, and the exchange-correlation Coulomb energies under the local density approximation. The advantages, limitations, and possible improvements of the hydrodynamic theory are transparently demonstrated. The roles of various parameters in the theory are identified. We anticipate that the hydrodynamic theory can be applied to investigate the linear response of complex metallic nanostructures, including quantum effects, by adjusting theory parameters appropriately.

show abstract

“…V B). Additionally, for a single quantum state, we have λ w = 1 [30,60]. This somehow suggests that λ w should approach 1 in the electrontail region (the region far outside the metal).…”

Section: A Functional Energymentioning

confidence: 85%

Section: Hydrodynamic Descriptionmentioning

confidence: 99%

Section: A Functional Energymentioning

confidence: 99%

Section: A Functional Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hydrodynamic theory for quantum plasmonics: Linear-response dynamics of the inhomogeneous electron gas

Yan

2015

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

A Critique of Recent Semi‐Classical Spin‐Half Quantum Plasma Theories

Krishnaswami

Nityananda

Sen

et al. 2014

Contrib. Plasma Phys.

View full text Add to dashboard Cite

Key words Spin quantum plasmas; spin quantum hydrodynamics; Pauli blocking; instabilities.Certain recent semi-classical theories of spin-half quantum plasmas are examined with regard to their internal consistency, physical applicability and relevance to fusion, astrophysical and condensed matter plasmas. It is shown that the derivations and some of the results obtained in these theories are internally inconsistent and contradict well-established principles of quantum and statistical mechanics, especially in their treatment of fermions and spin. Claims of large semi-classical effects of spin magnetic moments that could dominate the plasma dynamics are found to be invalid both for single-particles and collectively. Larmor moments dominate at high temperature while spin moments cancel due to Pauli blocking at low temperatures. Explicit numerical estimates from a variety of plasmas are provided to demonstrate that spin effects are indeed much smaller than many neglected classical effects. The analysis presented suggests that the aforementioned 'Spin Quantum Hydrodynamic' theories are not relevant to conventional laboratory or astrophysical plasmas.

show abstract

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

Iqbal,

Abbas,

Rozina

et al. 2024

Contrib. Plasma Phys

View full text Add to dashboard Cite

The formation of longitudinal, nonlinear structures in an interacting ion beam, spin‐1/2 quantum, electron‐ion plasma is reported by employing a separate spin evolution quantum hydrodynamic model (SSE‐QHD). The reductive perturbation method is followed to develop the KdV equations. In the presence of an ion beam and keeping the finite electron inertial effects, ion acoustic (IA) soliton and spin electron acoustic (SEA) soliton are found. The critical values of beam speed and spin polarization, required for the existence of solitary structures, are highlighted. It is prescribed that the present model supports rarefactive and compressive SEA soliton and compressive IA soliton. It is shown that the ion beam is essential for the existence of a compressive SEA solitary structure. We have also calculated and compared the energy densities of both solitons. Furthermore, the dependence of the nonlinear structures on the beam parameters and spin polarization are also examined. Our findings would be useful to understand the new spin‐dependent nonlinear structures as well as the features of nonlinear IA waves in ion beam–plasma interactions.

show abstract

Quantum Hydrodynamics

Cited by 25 publications

References 80 publications

Hydrodynamic theory for quantum plasmonics: Linear-response dynamics of the inhomogeneous electron gas

Hydrodynamic theory for quantum plasmonics: Linear-response dynamics of the inhomogeneous electron gas

A Critique of Recent Semi‐Classical Spin‐Half Quantum Plasma Theories

Excitation of nonlinear longitudinal structures in spin‐1/2 quantum plasma in the presence of ion beam

Contact Info

Product

Resources

About