THE SCHRODINGER-POISSON-INDUCTION SYSTEM: ROTATIONAL EFFECTS IN THE FLUID TURBULENCE OF A 2D QUANTUM PLASMA

被引:0
作者
Palade, D., I [1 ,2 ]
Baran, V [2 ]
机构
[1] Natl Inst Laser Plasma & Radiat Phys, POB MG 36, RO-077125 Bucharest, Romania
[2] Univ Bucharest, Fac Phys, Atomistilor 405, Magurele, Romania
来源
ROMANIAN JOURNAL OF PHYSICS | 2018年 / 63卷 / 9-10期
关键词
Quantum plasma; turbulence; vorticity; Schrodinger; induction; RELAXATION; VORTEX;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Quantum Hydrodynamic Model is used to describe the dynamics of a quantum plasma. In this framework we relax the standard assumption of irrotational velocity field by including a natural solenoidal component. Using a Madelung transformation, it is shown that the fluid equations can be embedded in a non-linear Schrodinger equation in the presence of a self-consistent electrostatic potential and a pseudo-magnetic potential obeying an induction-like equation. This novel system is used to investigate the quantum fluid turbulence of a two-dimensional quantum plasma. While qualitative phenomena, like the dual cascade, are confirmed numerically, it is found that the inclusion of rotational effects changes significantly the evolution of the turbulence spectrum.
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页数:12
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共 33 条
[1]   Ultrashort-pulse child-langmuir law in the quantum and relativistic regimes [J].
Ang, L. K. ;
Zhang, P. .
PHYSICAL REVIEW LETTERS, 2007, 98 (16)
[2]   New scaling of Child-Langmuir law in the quantum regime [J].
Ang, LK ;
Kwan, TJT ;
Lau, YY .
PHYSICAL REVIEW LETTERS, 2003, 91 (20)
[3]  
[Anonymous], 1997, Numerical Analysis of Spectral Methods: Theory and Applications
[4]   Present status of the FIREX programme for the demonstration of ignition and burn [J].
Azechi, Hiroshi .
PLASMA PHYSICS AND CONTROLLED FUSION, 2006, 48 (12B) :B267-B275
[5]   The formation of helium white dwarfs in close binary systems - II [J].
Benvenuto, OG ;
De Vito, MA .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2005, 362 (03) :891-905
[6]   Quantum hydrodynamic model for the nonlinear electron dynamics in thin metal films [J].
Crouseilles, N. ;
Hervieux, P. -A. ;
Manfredi, G. .
PHYSICAL REVIEW B, 2008, 78 (15)
[7]   Observations of plasmons in warm dense matter [J].
Glenzer, S. H. ;
Landen, O. L. ;
Neumayer, P. ;
Lee, R. W. ;
Widmann, K. ;
Pollaine, S. W. ;
Wallace, R. J. ;
Gregori, G. ;
Hoell, A. ;
Bornath, T. ;
Thiele, R. ;
Schwarz, V. ;
Kraeft, W. -D. ;
Redmer, R. .
PHYSICAL REVIEW LETTERS, 2007, 98 (06)
[8]   Quantum ion-acoustic waves [J].
Haas, F ;
Garcia, LG ;
Goedert, J ;
Manfredi, G .
PHYSICS OF PLASMAS, 2003, 10 (10) :3858-3866
[9]  
Huix-Rotllant M., 2020, ADV QUANTUM CHEM, P13, DOI [10.1002/9781119417774.ch2, DOI 10.1016/S0065-3276(08)60600-0]
[10]   SELF-CONSISTENT EQUATIONS INCLUDING EXCHANGE AND CORRELATION EFFECTS [J].
KOHN, W ;
SHAM, LJ .
PHYSICAL REVIEW, 1965, 140 (4A) :1133-&