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Study of Conduction Cooling Effects in Long Aspect Ratio Penning-Malmberg Micro-Traps

2013/07/12 by M. A. Khamehchi, Khamehchi, M. A., Chris Baker +7
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1307.3357

arxiv created 2013/07/12 · openalex publication_date 2013/07/12 · arxiv updated 2013/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A first order perturbation with respect to velocity has been employed to find the frictional damping force imposed on a single moving charge due to a perturbative electric field, inside a long circular cylindrical trap. We find that the electric field provides a cooling effect, has a tensorial relationship with the velocity of the charge. A mathematical expression for the tensor field has been derived and numerically estimated. The corresponding drag forces for a charge moving close to the wall in a cylindrical geometry asymptotically approaches the results for a flat surface geometry calculated in the literature. Many particle conduction cooling power dissipation is formulated using the single particle analysis. Also the cooling rate for a weakly interacting ensemble is estimated. It is suggested that a pre-trap section with relatively high electrical resistivity can be employed to cool down low density ensembles of electrons/positrons before being injected into the trap. For a micro-trap with tens of thousands of micro-tubes, hundreds of thousands of particles can be cooled down in each cooling cycle. For example, tens of particles per micro-tube in a 5 cm long pre-trap section with the resistivity of 0.46 Ωm and the micro-tubes of radius 50 μm can be cooled down with the time constant of 106μs.

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