Nonlinear Statistical Dynamics
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Nonlinear Statistical Dynamics
Molecular Dynamics Simulation in Strongly Coupled Dusty Plasmas
Nonlinear propagation of waves in strongly coupled dusty plasmas
Nonlinear Charging Model of Dust Grains in Plasma
The charging process modifies the electrical properties of the grain such as its capacitance, and the potential distribution in the surrounding plasma. In the absence of a magnetic field, the charging process may be modeled with an RC circuit where an electric circuit is known to exist with a finite resistance in the medium between the grain and the bulk plasma. As an analytical expression for capacitance is not possible due to non-ideality, we have solved Poisson's equation numerically using a back-shooting method; and the results have established a nonlinear relationship of the dust capacitance with its surface potential for large values of dust-size to Debye-length ratio. A nonlinear circuit model has been proposed with some preliminary studies on the phenomena like chaos and bifurcation in the system.
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A software system for molecular dynamics simulation in strongly coupled dusty plasmas was developed. Appropriate integrator was implemented which would not lead to numerical instability while investigating into long-time behaviour of the system. The program also provided the opportunity to observe equilibrium |
| states of plasmas. The schemes for calculation of basic thermodynamic properties and time-correlation functions were included. A 2-dimensional graphics interface was introduced for carrying out event-driven simulation. A number of studies involving different physical situations were successfully carried out using this system. | |
Nonlinear propagation of waves in strongly coupled dusty plasmas
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The dust dynamics of the plasma is modelled by the Generalised Hydrodynamic model. We have obtained a general nonlinear propagation equation which in the limit of plasmas without correlation effects reduces to the well known KdV equation and has solitonic solutions. The additional |
| nonlinearity arising from the correlation effects introduces interesting modifications to the soliton wave solution. When this term is small, we have carried out a perturbative analysis and find that the soliton solution continues to exist, and propagates with its original amplitude intact but with an enhanced phase velocity. This is confirmed by a numerical solution of the equation. To study the solution for large strong correlation term, we have employed a simple second order scheme to solve the integro-partial differential equation which results for an additional condition of a fixed upstream. The numerical solution of this equation and the phase plane analyses (analytical and numerical) in the steady state confirm the existence of monotonic shock profiles. | |
Nonlinear Charging Model of Dust Grains in Plasma
The charging process modifies the electrical properties of the grain such as its capacitance, and the potential distribution in the surrounding plasma. In the absence of a magnetic field, the charging process may be modeled with an RC circuit where an electric circuit is known to exist with a finite resistance in the medium between the grain and the bulk plasma. As an analytical expression for capacitance is not possible due to non-ideality, we have solved Poisson's equation numerically using a back-shooting method; and the results have established a nonlinear relationship of the dust capacitance with its surface potential for large values of dust-size to Debye-length ratio. A nonlinear circuit model has been proposed with some preliminary studies on the phenomena like chaos and bifurcation in the system.
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An entreprise is built upon dynamic process of communications and collaborations - it is not about just people. It functions in a collaborative environment, and significant amount of effort goes towards sharing of information and action performed based on it. This process requires creation, review and tracking of reports and significant data. With a host of ou...
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