Non-linear electrostatic waves in pair-ion plasmas - National Centre ...

More documents

Recommendations

Info

3. Nonlinear Electrostatic Waves in pair-ion PlasmasModel and nonlinear set of equationsConsider homogeneous, unmagnetized fullerene (C 60) plasma consists of positivelyand negatively charged ions.The positive and negative ions are considered to be isothermally heated but havedifferent temperatures.Using two fluid theory, the Continuity equations of positive and negativeions are given as∂n∂t+∂+ ( nv+ + ) =∂x0(1)∂n∂t−∂+ ( nv− −)=∂x0(2)12
Nonlinear Electrostatic Waves in Pair-ion Plasmas (contd.)Momentum equations for positively and negatively charged ions are describedas,(where φ is electrostatic potential) i.e.,2∂ φPoisson equation gives, = 4π e n− −2 +∂xEquilibrium is defined as,∂ v+ ∂v+e ∂φT+1 ∂n++ v+= − −∂t∂xm ∂xm n ∂x∂v∂t∂v+∂φ−∂x− − e− 1+ v−=∂xm−m−n−( n )( )n = n = n say0+ 0−0T++∂n−∂x∂φE = −∂x(3)(4)(5)(6)Dispersion relation⎡⎢⎢⎣1 1⎤1+ ⎥ − =− + ⎦2 2 2 2 2 2 2( ω −VTk ) ( ω −VTk ) ⎥ ωp0(7)whereVTα⎛Tα⎞= ⎜ ⎟⎝m⎠12andωp12 2⎛4πne ⎞0= ⎜ ⎟⎝ m ⎠m +=m -(=m say)13
Page 1 and 2: Nonlinear electrostatic structures
Page 3 and 4: 1. Soliton‣ Soliton is a nonlinea
Page 5 and 6: Soliton in Plasmas (contd.)Linear w
Page 7 and 8: 2. Brief Introduction of pair-ion P
Page 9 and 10: Production of pair-ion (fullerene)
Page 11: Electrostatic Waves in pair-ion Pla
Page 15 and 16: Nonlinear Electrostatic Waves in pa
Page 17 and 18: Nonlinear Electrostatic Waves in pa
Page 19 and 20: Nonlinear Electrostatic Waves in Pa
Page 21 and 22: Double Layer in Plasmas5. Double La
Page 23 and 24: Double layer in Pair-ion Plasmas (c
Page 25 and 26: Double layer in Pair-ion Plasmas (c
Page 27 and 28: 6. Dissipative shocks and solitons
Page 29 and 30: Dissipative shocks and solitons in
Page 31 and 32: Dissipative shocks and solitons in
Page 33 and 34: 7. Conclusion• Linear and nonline
Page 35: Thank You35

Non-linear electrostatic waves in pair-ion plasmas - National Centre ...

Create successful ePaper yourself

Delete template?

Save as template?