scholarly journals Two-dimensional quantum hydrodynamic model for the heating of a solid target using a Gaussian cluster

2012 ◽  
Vol 30 (4) ◽  
pp. 671-677 ◽  
Author(s):  
Ya Zhang ◽  
Yuan-Hong Song ◽  
Yong-Tao Zhao ◽  
You-Nian Wang

AbstractThis paper presents numerical simulations to study the heating of a two-dimensional (2D) solid target under an ion cluster interaction. 2D quantum hydrodynamic (QHD) model is employed for the heating of solid target to warm dense matter on a picosecond time scale. A Gaussian cluster is used to uniformly heat the solid target to a temperature of several eV. The density and temperature of the target are calculated by a full self-consistent treatment of the QHD formalisms and the Poisson's equation. The technique described in this paper provides a method for creating uniformly heated strongly coupled plasma states.

2013 ◽  
Vol 31 (2) ◽  
pp. 345-351 ◽  
Author(s):  
Ya Zhang ◽  
Yuan-Hong Song ◽  
You-Nian Wang

AbstractThis paper presents numerical simulations to study the heating of a solid target under a proton beam pulse interaction. The target is heated by the proton beam pulse with particle energyEb, intensityNand focal radiusrbof transverse Gaussian distribution, with a fixed pulse time 10 ps. The dynamics of target and beam ions are described by a classical hydrodynamic model and the target electrons are described by the quantum hydrodynamic model. Numerical simulations are carried out by employing the two dimensional flux-corrected transport methods. The target is heated to 0.5−5 eV, therefore, warm dense matter is created in the heated target region on a picosecond time scale.


2014 ◽  
Vol 33 (1) ◽  
pp. 41-50 ◽  
Author(s):  
V. B. Mintsev ◽  
V. E. Fortov

AbstractThis report presents the overview of the results of investigation of transport properties of warm dense matter in the conditions with strong coupling generated as a result of the shock or multiple shock compression of substance up to the megabar pressure range. We consider the results of measurements of the electrical conductivity in two different regions. The first one is the high temperature region, where the temperatures are of the order or much higher than the ionization potential I of the compressed substance. The region of “pressure ionization” where T ≪ I is the most interesting from the point of view of the specific plasma phase transitions. A few amounts of experimental data on shock compressed matter viscosity are discussed. For the estimations of shear viscosity of strongly coupled plasma experimental data on measurements of electrical conductivity of hydrogen, deuterium and rare gases under intense shock compression were used. It is shown that the ratio of shear viscosity coefficient to volume density of entropy of strongly coupled plasma is of the order of a lower bound, predicted by Kovtun et al. (2005) in frames of string theory methods.


2019 ◽  
Vol 26 (7) ◽  
pp. 072704 ◽  
Author(s):  
Zhiyu Zhang ◽  
Yang Zhao ◽  
Jiyan Zhang ◽  
Zhimin Hu ◽  
Longfei Jing ◽  
...  

2009 ◽  
Vol 16 (8) ◽  
pp. 082703 ◽  
Author(s):  
Naeem A. Tahir ◽  
Ruediger Schmidt ◽  
Markus Brugger ◽  
Ralph Assmann ◽  
Alexander Shutov ◽  
...  

VLSI Design ◽  
1999 ◽  
Vol 9 (4) ◽  
pp. 351-355
Author(s):  
Carl L. Gardner

The “smooth” quantum hydrodynamic (QHD) model is derived specifically to handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. Smooth QHD model simulations of the resonant tunneling diode are presented which exhibit enhanced negative differential resistance when compared with simulations using the original O(ħ2) QHD model. In addition, smooth QHD simulations of a classical electron shock wave are presented which agree with classical hydrodynamic model simulations and which do not exhibit the spurious dispersive oscillations of the O(ħ2) QHD model.


2001 ◽  
Vol T89 (1) ◽  
pp. 41 ◽  
Author(s):  
T. Shoji ◽  
M. Fujigaya ◽  
H. Tomita ◽  
M. Aramaki ◽  
Y. Sakawa

2007 ◽  
Vol 17 (02) ◽  
pp. 253-275 ◽  
Author(s):  
BO LIANG ◽  
KAIJUN ZHANG

In this paper we study the steady-state quantum hydrodynamic model for semiconductors. The existence of solutions on the bipolar QHD model is obtained in the case of sufficiently small relaxation time. Uniqueness results are showed both in the thermal equilibrium states and the scaled Planck constant being large enough. The relaxation time and dispersive limit are performed on the bipolar and unipolar equations, respectively. In a sense, we have made a complete answer to the original unsolved problems of the steady-state QHD model.


VLSI Design ◽  
1995 ◽  
Vol 3 (2) ◽  
pp. 201-210 ◽  
Author(s):  
Carl L. Gardner

The phenomenon of resonant tunneling is simulated and analyzed in the quantum hydrodynamic (QHD) model for semiconductor devices. Simulations of a parabolic well resonant tunneling diode at 77 K are presented which show multiple regions of negative differential resistance (NDR) in the current-voltage curve. These are the first simulations of the QHD equations to show multiple regions of NDR.Resonant tunneling (and NDR) depend on the quantum interference of electron wavefunctions and therefore on the phases of the wavefunctions. An analysis of the QHD equations using a moment expansion of the Wigner-Boltzmann equation indicates how phase information is retained in the hydrodynamic equations.


VLSI Design ◽  
2000 ◽  
Vol 10 (4) ◽  
pp. 415-435 ◽  
Author(s):  
Carl L. Gardner ◽  
Christian Ringhofer

A “smooth” quantum hydrodynamic (QHD) model for semiconductor devices is derived by a Chapman-Enskog expansion of the Wigner-Boltzmann equation which can handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A dispersive quantum contribution to the heat flux term in the QHD model is introduced.


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