Space charge solitary waves in warm charged particle beams in resistive wall transport channels

• Published in: Iranian Journal of Physics Research Vol. 23; no. 2; pp. 297 - 306
• Main Authors: Abdorasoul Esfandyari-Kalejahi, Tannaz Adil
• Format: Journal Article
• Language: English
• Published: Isfahan University of Technology 01-09-2023
• Subjects: fluid model; instability; particle beam; reductive perturbation; solitary wave; space-charge; stability
• ISSN: 1682-6957; 2345-3664
• DOI: 10.47176/ijpr.23.2.21621

In this article, a one-dimensional kinetic model is used to obtain space charge solitary waves in a beam of hot charged particles into a transmission channel with a resistance wall of radius rw. The axial electric field is obtained as , where  and are geometric constants. In addition, due to the resistance of the wall, an electric field  appears. The moments of the Vlasov equation for the water bag distribution function are converted into fluid equations and these fluid equations are reduced to the kdv equation using the reduced perturbation method. The shape of the fast and slow space charge solitary waves caused by the beam of hot charged particles in the presence of wall resistance is obtained by numerically examining the KdV equation at different times. Finally, it is revealed that with the increase of the wall resistance, the growth(attenuation) rate of the relative amplitude of the slow (fast) space charge soliton waves caused by the beams of charged particles increases.