Beat Frequency and Velocity Variation of Ions in a Magnetized Plasma Sheath for Different Obliqueness of the Magnetic Field

Adhikari, Binod; Basnet, Suresh; Lamichhane, Hari Prasad; Khanal, Raju

doi:10.3126/jist.v23i1.22201

Cited by 4 publications

(6 citation statements)

References 13 publications

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“…For these, we need to consider the velocity distribution function for each species and follow the kinetic treatment. KTS is an iterative method for numerically calculating self consistent, time independent kinetic plasma states in some given bounded spatial region [3,12,13] For given necessary initial and boundary conditions the distribution functions of the particle species are calculated by solving the related kinetic equations along the respective trajectories.…”

Section: The Kts Methodsmentioning

confidence: 99%

“…For given initial and boundary conditions, we start with an initial guess to the potential profile and solve the governing equations (equation of motion, Poisson equation, Vlasov equation and Bohm-Chodura condition) iteratively until a self-consistent result is achieved [12,13]. We consider plasma parameters at the presheath by satisfying quasi-neutrality condition, the sheath-edge singularity condition, continuity of the first three moments of each species, and the Bohm-Chodura condition.…”

Section: Figure 1 Geometry Of the Plasma Sheath Modelmentioning

confidence: 99%

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Variation of mean value of velocity of ion with different obliqueness of magnetized plasma sheath

2020

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Plasma sheath, which forms between a material wall and incoming plasma, plays an important role in controlling particle and energy ﬂuxes to the wall. The problem of plasma sheath is one of the oldest in plasma and still draws attention, especially in magnetized plasmas. In this work velocity of ions in a magnetized plasma sheath has been studied using a kinetic trajectory simulation model for varying obliqueness of the ﬁeld. Any change in obliqueness of the ﬁeld causes the velocities to change. The change in mean value of the component normal to the wall is comparatively small whereas the other two components of velocity vary sinusoidally, nearly complementary to each other with nearly equal amplitudes.

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Section: The Kts Methodsmentioning

confidence: 99%

Section: Figure 1 Geometry Of the Plasma Sheath Modelmentioning

confidence: 99%

Variation of mean value of velocity of ion with different obliqueness of magnetized plasma sheath

2020

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“…In all cases, it is well established that the sheath parameters fluctuate and ultimately reach a steady state, however, in most cases only the final velocity profiles are studied and analyzed. As the evolution of ion velocities can provide better understanding of the sheath formation; as an extension of our earlier work [17]; in this work we have studied the temporal ion velocity variation in plasma sheath with obliqueness of an external magnetic field which has crucial role in all plasma applications where magnetic field is present.…”

Section: Introductionmentioning

confidence: 95%

Temporal Ion Velocity Variation with Obliqueness in Magnetized Plasma Sheath

Adhikari¹,

Khanal²

2021

J. Nep. Phys. Soc.

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A narrow region having sharp gradients in physical parameters is formed whenever plasma comes into contact with a material wall. In this work, the temporal velocity variation of ions in such a sheath has been studied in the presence of an external oblique magnetic field. The Lorentz force equation has been solved for the given boundary conditions using Runge-Kutta method. In order to satisfy the Bohm criterion, ions enter the sheath region with ion acoustic velocity. It is observed that all components of the velocity waves are damped in plasma in the time scale of one second. The computed oscillatory part of ion velocity match with the equation of the damped harmonic oscillator. Thus obtained damping constants as well as the frequency of all three components are nearly equal for obliqueness less than 600 after which they are distinctly different. This is due to the fact that the magnetic field becomes almost parallel to the wall. In earlier studies, only the final velocity profiles are reported and hence this study is useful in understanding how the ion velocities evolve in time as they move from sheath entrance towards the wall.

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“…Otherwise, it is in an unsteady state. The current in the parallel LCR (inductor, capacitor, and resistor) circuit depends not only on the magnitude of the applied electromotive force (emf) but also on its frequency (Lamichhane, 2019;Adhikari et al, 2018). The electrical component in daily household equipment such as mixture, iron, refrigerator, mobile charger, etc.…”

Section: Introductionmentioning

confidence: 99%

Application of Numerical Methods for the Analysis of Damped Parallel RLC Circuit

Kafle

Thakur

Bhandari

2021

J. Inst. Sci. Tech.

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A sudden application of sources results in time-varying currents and voltages in the circuit known as transients. This phenomenon occurs frequently during switching. A simple circuit constituting a resistor, an inductor, and a capacitor is termed an RLC circuit. It may be in parallel or series configuration or both. Different values of damping factors determine the different nature of the transient response. We applied different numerical solution methods such as explicit (forward) Euler method, third-order Runge-Kutta (RK3) method, and Butcher's fifth-order Runge-Kutta (BRK5) method to approximate the solution of second-order differential equation with initial value problem (IVP). We thoroughly compared the numerical solutions obtained by these methods with the necessary visualization and analysis of error. We also examined the superiority of these methods over one another and the appropriateness of numerical methods for different damping conditions is explored. With high accuracy of the approximation and thorough analysis of the observation, we found Butcher's fifth-order Runge-Kutta (BRK5) method to be the best numerical technique. Regarding the different values of damping factors, we considered the further possibility of discussion and analysis of this iterative method.

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Beat Frequency and Velocity Variation of Ions in a Magnetized Plasma Sheath for Different Obliqueness of the Magnetic Field

Cited by 4 publications

References 13 publications

Variation of mean value of velocity of ion with different obliqueness of magnetized plasma sheath

Variation of mean value of velocity of ion with different obliqueness of magnetized plasma sheath

Temporal Ion Velocity Variation with Obliqueness in Magnetized Plasma Sheath

Application of Numerical Methods for the Analysis of Damped Parallel RLC Circuit

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