quantum hydrodynamic model
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Laser Physics ◽  
2021 ◽  
Vol 32 (1) ◽  
pp. 016002
Author(s):  
Punit Kumar ◽  
Nisha Singh Rathore

Abstract Relativistic and ponderomotive nonlinearities arising by the passage of a linearly polarized laser beam through a partially stripped magnetized quantum plasma are analyzed. The interaction formalism has been developed using the recently developed quantum hydrodynamic model. The effects associated with the Fermi pressure, quantum Bohm potential and electron spin have been incorporated. A nonparaxial, non-linear wave equation has been obtained by the use of source dependent expansion technique and spot size has been evaluated. The nonlinear relativistic self-focusing tends to focus the beam while the ponderomotive nonlinearity tends to defocus. The effect of magnetization and quantum effects on the spot size and the beam power have been studied.


2021 ◽  
Vol 49 (1) ◽  
Author(s):  
M. Nasir Khattak ◽  
◽  
U. Zakir ◽  
M. Yaqoob Khan ◽  
Niaz. Wali ◽  
...  

The linear and nonlinear low-frequency collisional quantum Buneman instability in electronpositron- ion plasmas have been studied. Buneman instability in low frequency three species quantum plasma has been investigated using the approach of the quantum hydrodynamic model. The one-dimensional low-frequency collisional model is revisited by introducing the Bohm potential term in the momentum equation along with the role of the positron. Low-frequency Buneman instability which arises by one stream of particles drifting over another is investigated in the presence of the positron. Different plasma configurations based on the relative velocities of streaming particles are analyzed and it is observed that positron content enhances the instability in classical limits. Further, we found that in pure quantum limits the instability growth rate is decreased by increasing the positron concentration. The present work is very useful for the nonlinear problems in Quantum Coulomb systems.


2021 ◽  
Author(s):  
Vito Dario Camiola ◽  
Giovanni Mascali ◽  
Vittorio Romano

Abstract The present work aims at formulating quantum energy-transport and drift- diffusion equations for charge transport in graphene from a quantum hydrodynamic model proposed in [1], obtained from the Wigner-Boltzmann equation via the mo- ment method. In analogy with the semiclassical case, we are confident that the energy- transport and drift-diffusion models have mathematical properties which allow an easier numerical treatment.


2021 ◽  
Vol 35 (11) ◽  
pp. 1388-1389
Author(s):  
Mario Kupresak ◽  
Xuezhi Zheng ◽  
Guy Vandenbosch ◽  
Victor Moshchalkov

In order to model the interaction between light and plasmonic structures at deep-nanometer scale, which is governed by non-classical effects, a nonlocal hydrodynamic approach has been extensively studied. Several hydrodynamic models have been proposed, solving the coupled equations: the linearized hydrodynamic equation of motion and the electrodynamic Maxwell’s equations, by employing additional boundary conditions. This work compares four hydrodynamic models: the hard wall hydrodynamic model (HW-HDM), the curl-free hydrodynamic model (CF-HDM), the shear forces hydrodynamic model (SF-HDM), and the quantum hydrodynamic model (Q-HDM). The analysis is conducted for a metallic spherical nanoparticle, as an example. The above hydrodynamic models are also compared with experiments available in literature. It is demonstrated that HW-HDM and QHDM outperform the other two hydrodynamic models.


2021 ◽  
Vol 35 (04) ◽  
pp. 2150049
Author(s):  
Zahid Mir ◽  
A. Rasheed ◽  
Arroj A. Khan ◽  
M. Asif ◽  
M. Jamil

The propagation of dust-ion acoustic (DIA) wave is studied with the streaming effects of ion particles in a quantum dusty plasmas. The quantum effects arising from Landau magnetization, Fermi degenerate pressure, tunneling potential and exchange-correlation potential are considered for the electrons. Linear dispersion relation is derived using Quantum Hydrodynamic Model and the results are graphically presented showing the propagation and growth rate of the electrostatic mode in the dense plasma environment.


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