Solitary waves in two-dimensional dusty plasma crystal: Effects of weak magnetic field

2010 ◽  
Vol 17 (3) ◽  
pp. 034505 ◽  
Author(s):  
Samiran Ghosh ◽  
M. R. Gupta
Keyword(s):  
Magnetic Field ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Weak Magnetic Field ◽  
Two Dimensional ◽  
Plasma Crystal

Nonlinear theory of longitudinal dust-lattice wave in a magnetic dusty plasma crystal

2012 ◽  
Vol 78 (3) ◽  
pp. 259-263 ◽  
Author(s):  
M. SHAHMANSOURI ◽  
B. FAROKHI
Keyword(s):  
Magnetic Field ◽  
Evolution Equation ◽  
Dusty Plasma ◽  
Weak Magnetic Field ◽  
Pitaevskii Equation ◽  
Nonlinear Properties ◽  
Longitudinal Modes ◽  
Lattice Wave ◽  
Lattice Waves ◽  
Plasma Crystal

AbstractThe propagation of dust-lattice waves in two-dimensional hexagonal dusty plasma crystals in the presence of an external weak magnetic field is considered. Linear and nonlinear properties of the longitudinal dust-lattice waves are investigated. Dispersion relation, group velocity and evolution equation are found. The influence of the magnetic field on the propagation of dust-lattice waves is studied. We obtain the envelope evolution equation for longitudinal modes in the presence of a weak magnetic field, which is in the form of the Gross–Pitaevskii equation.

scholarly journals THE ENERGY EIGENVALUES OF THE TWO DIMENSIONAL HYDROGEN ATOM IN A MAGNETIC FIELD

2006 ◽  
Vol 15 (06) ◽  
pp. 1263-1271 ◽  
Author(s):  
A. SOYLU ◽  
O. BAYRAK ◽  
I. BOZTOSUN
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Iteration Method ◽  
Weak Magnetic Field ◽  
The Other ◽  
Asymptotic Iteration Method ◽  
Iterative Approach ◽  
Two Dimensional ◽  
Energy Eigenvalues ◽  
The Magnetic Field

In this paper, the energy eigenvalues of the two dimensional hydrogen atom are presented for the arbitrary Larmor frequencies by using the asymptotic iteration method. We first show the energy eigenvalues for the case with no magnetic field analytically, and then we obtain the energy eigenvalues for the strong and weak magnetic field cases within an iterative approach for n=2-10 and m=0-1 states for several different arbitrary Larmor frequencies. The effect of the magnetic field on the energy eigenvalues is determined precisely. The results are in excellent agreement with the findings of the other methods and our method works for the cases where the others fail.

Transport in quasi-two-dimensional systems under a weak magnetic field

1995 ◽  
Vol 52 (3) ◽  
pp. 1984-1995 ◽  
Author(s):  
A. Cassam-Chenai ◽  
D. Mailly
Keyword(s):  
Magnetic Field ◽  
Weak Magnetic Field ◽  
Two Dimensional

scholarly journals Two-dimensional electron liquid in a weak magnetic field

1995 ◽  
Vol 52 (15) ◽  
pp. 11296-11312 ◽  
Author(s):  
I. L. Aleiner ◽  
L. I. Glazman
Keyword(s):  
Magnetic Field ◽  
Weak Magnetic Field ◽  
Two Dimensional ◽  
Dimensional Electron

Defects related self-diffusion in a two-dimensional dusty plasma crystal

2002 ◽  
Vol 35 (45) ◽  
pp. 9535-9540 ◽  
Author(s):  
Yanhong Liu ◽  
Bin Liu ◽  
Si-Ze Yang ◽  
Long Wang
Keyword(s):  
Dusty Plasma ◽  
Two Dimensional ◽  
Self Diffusion ◽  
Plasma Crystal
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