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Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps
Published on: August 17, 2017
Invariants for single-component plasmas in a time-dependent harmonic trap
Luiz Gustavo Ferreira Soares1, Thonimar V Alencar1, Ronaldo Thibes2
1Centro Universitário Norte do Espírito Santo, Departamento de Ciências Naturais, BR-101, km 60, 29932-540 São Mateus, Espírito Santo, Brazil.
Abstract:
We investigate the complex nonlinear dynamics of a quasi-one-dimensional single-component plasma confined in a time-dependent harmonic trap. The system is described as a fluid in a hydrodynamic framework, incorporating electrostatic and thermal effects. By applying a time-dependent variational method, with a Gaussian ansatz for the number density distribution, we reduce the plasma complexity to that of a system of ordinary differential equations and follow up with a systematic analysis of the corresponding Noether symmetries in three distinct regimes: electrostatic, thermal, and combined effects. For each studied case, proper conserved quantities are identified, including a generalized Ermakov-Lewis invariant. We illustrate our results in the antiproton and positron confinement problems.
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