Large amplitude dust acoustic solitary wave with positively charged dust grain

2006 ◽  
Vol 13 (4) ◽  
pp. 044503 ◽  
Author(s):  
Samiran Ghosh ◽  
M. R. Gupta
Keyword(s):  
Solitary Wave ◽  
Large Amplitude ◽  
Charged Dust ◽  
Dust Acoustic ◽  
Dust Grain ◽  
Positively Charged

Inward and outward dust acoustic cylindrical and spherical waves interaction in four-component dusty plasma with nonthermal ions

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Uday Narayan Ghosh ◽  
Prasanta Chatterjee ◽  
Barjinder Kaur
Keyword(s):  
Dusty Plasma ◽  
Charged Dust ◽  
Dust Grains ◽  
Mass Ratio ◽  
Temperature Ratio ◽  
Spherical Waves ◽  
Dust Acoustic ◽  
Waves Interaction ◽  
Positively Charged ◽  
Different Time Scales

Abstract A theoretical investigation by an all-inclusive adaptation of the PLK strategy is carried out in order to study the inward and outward interaction between two cylindrical and spherical dust acoustic solitary waves (DASWs) in an unmagnetized dusty plasma consisting of nonthermal distributed ions, negatively and positively charged dust grains along with electrons featuring Boltzmann’s distribution. The interactions and collisions between two cylindrical and spherical geometries at different time scales are studied. Also the combined effects of the nonthermality of ions, ion to electron temperature ratio as well as mass ratio of positive to negative dust grains have been studied in detail on the phase shifts raised due to collision. It has been seen that the properties of the cooperation of DASWs in cylindrical and spherical shaped are distinct.

Dust acoustic solitary waves in non-thermal plasmas consisting of negatively charged dust grains and isothermal electrons

2009 ◽  
Vol 75 (4) ◽  
pp. 455-474 ◽  
Author(s):  
ANIMESH DAS ◽  
ANUP BANDYOPADHYAY
Keyword(s):  
Solitary Wave ◽  
Solitary Waves ◽  
Acoustic Waves ◽  
Kdv Equation ◽  
Thermal Parameter ◽  
Charged Dust ◽  
Average Temperature ◽  
The Kdv Equation ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic

AbstractA Korteweg–de Vries (KdV) equation is derived here, that describes the nonlinear behaviour of long-wavelength weakly nonlinear dust acoustic waves propagating in an arbitrary direction in a plasma consisting of static negatively charged dust grains, non-thermal ions and isothermal electrons. It is found that the rarefactive or compressive nature of the dust acoustic solitary wave solution of the KdV equation does not depend on the dust temperature if σdc < 0 or σdc > σd*, where σdc is a function of β1, α and μ only, and σd*(<1) is the upper limit (upper bound) of σd. This β1 is the non-thermal parameter associated with the non-thermal velocity distribution of ions, α is the ratio of the average temperature of the non-thermal ions to that of the isothermal electrons, μ is the ratio of the unperturbed number density of isothermal electrons to that of the non-thermal ions, Zdσd is the ratio of the average temperature of the dust particles to that of the ions and Zd is the number of electrons residing on the dust grain surface. The KdV equation describes the rarefactive or the compressive dust acoustic solitary waves according to whether σdc < 0 or σdc > σd*. When 0 ≤ σdc ≤ σd*, the KdV equation describes the rarefactive or the compressive dust acoustic solitary waves according to whether σd > σdc or σd < σdc. If σd takes the value σdc with 0 ≤ σdc ≤ σd*, the coefficient of the nonlinear term of the KdV equation vanishes and, for this case, the nonlinear evolution equation of the dust acoustic waves is derived, which is a modified KdV (MKdV) equation. A theoretical investigation of the nature (rarefactive or compressive) of the dust acoustic solitary wave solutions of the evolution equations (KdV and MKdV) is presented with respect to the non-thermal parameter β1. For any given values of α and μ, it is found that the value of σdc completely defines the nature of the dust acoustic solitary waves except for a small portion of the entire range of the non-thermal parameter β1.

Effects of polarization force and nonthermal ions on dust-acoustic (DA) shock waves in a strongly coupled dusty plasma with positively charged dust

Open Physics ◽  
2014 ◽  
Vol 12 (11) ◽  
Author(s):  
Shikha Pervin ◽  
Khandaker Ashrafi ◽  
M. Zobaer ◽  
Md. Salahuddin ◽  
A. Mamun
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Nonlinear Propagation ◽  
Charged Dust ◽  
Dust Grains ◽  
Strongly Coupled ◽  
Polarization Force ◽  
Dust Acoustic ◽  
Strongly Coupled Dusty Plasma ◽  
Positively Charged

AbstractThe nonlinear propagation of the dust-acoustic (DA) waves in a strongly coupled dusty plasma containing Maxwellian electrons, nonthermal ions, and positively charged dust is theoritically investigated by a Burgers equation. The effects of the polarization force (which arises due to the interaction between electrons and highly positively charged dust grains) and nonthermal ions are studied. DA shock waves are found to exist with positive potential only. It represents that the strong correlation among the charged dust grains is a source of dissipation, and is responsible for the formation of DA shock waves. The effects of polarization force and nonthermal ions significantly modified the basic features of DA shock waves in strongly coupled dusty plasma.

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