On the stability of spatially uniform Langmuir oscillations of electronic plasmas |
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| Affiliation: | 1. Università degli Studi di Padova, Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy;2. Università degli Studi di Pisa, Dipartimento di Fisica and CNISM, Largo Pontecorvo 3, 56127 Pisa, Italy;3. Università degli Studi di Milano, Dipartimento di Matematica, Via Saldini 50, 20133 Milano, Italy;1. Dipartimento di Fisica, Universita’ di Pisam, Largo Pontecorvo 3, 56127 Pisa - Italy;2. Institut de Physique et Chimie des Matériaux de Strasbourg, 23, rue du Loess - BP 43 F-67034 Strasbourg, France;1. Key Laboratory of Advanced Braided Composites, Ministry of Education, Tianjin Polytechnic University, Tianjin 300387, People''s Republic of China;2. Photon Sciences Directorate, Brookhaven National Laboratory, Building 744, Upton, NY 11973, USA;1. State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Tianshui Road 18th, Lanzhou 730000, PR China;2. University of Chinese Academy of Sciences, Beijing 100039, PR China;1. State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Tianshui Road 18th, Lanzhou 730000, PR China;2. University of Chinese Academy of Sciences, Beijing 100039, PR China;1. AnHui Province Key Laboratory of Special Heavy Load Robot, Anhui University of Technology, Ma’anshan 243032, China;2. School of Mechanical Engineering, Anhui University of Technology, Ma’anshan 243032, China;3. Key Laboratory of Green Fabrication and Surface Technology of Advanced Metal Materials (Anhui University of Technology), Ministry of Education, Maanshan 243002, China |
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| Abstract: | We investigate the stability of spatially uniform, time-periodic solutions of the one-dimensional Vlasov–Maxwell system describing the longitudinal oscillations of an electronic plasma in an uniform neutralizing ion background. We show that such a stability problem can be trivially solved since the zero wave number mode of the electric field, i.e. its space average, performs pure Langmuir oscillations independently of the other modes. We however point out that such oscillations do affect on time average the evolution of the velocity distribution function in the frame at rest. |
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