Plasma physics presentation icapst 2023.pptx

Plasma physics

1. Evolution of ion acoustic solitary waves with degenerate electrons experiencing exchange correlation effects A nonlinear Zakharov-Kuznetsov (ZK) equation for ion-acoustic solitary waves (IASWs) in a dense magnetized plasma is derived by using reductive perturbation method consisting of ions, electrons, positrons and dust particles in quantum in a magnetic and gravitational field. We use the Quantum Hydrodynamic (QHD) model to build characteristics equation of governing plasma. These type of plasmas are mainly found in black hole and magnetars . We present the equation of state of electrons and positrons by the relativistic degeneracy pressure. For the lighter particles, the exchange correlation effects are also come into picture. We further employ simulation techniques to study the evolution of the waveform under given conditions. Anjali Bala Department of Physics, Guru Nanak Dev University, Amritsar, Punjab

2. Governing Equations Normalization Scheme

3. The normalized set of equations are Perturbation Expansion Nonlinear ZK Equation Here a_0, a_1, a_2 are constants fependent on \delta, H, \gamma_1 etc

4. Solution to ZK Equation The solution of ZK equation reads as With the following transformation of coordinates Soliton profile for various values of the relativistic degeneracy parameter of electrons G_e And those of positrons G_p

5. Parametric dependence Soliton profile for various values of gravitational acceleration (g). Potential profile for various values of the magnetic field (B). Potential profile for various values of the collision frequency ($\nu$)

6. Soliton profile for various values of the exchange-correlation parameter for positrons ($\gamma_{2p}$). Soliton profile for various values of the exchange-correlation parameter for electrons ($\gamma_{2e}$).