On the theory of nonlinear landau damping

Kos, Leon (avtor), Vasileska, Ivona (avtor), Tskhakaya, David (avtor)

An exact solution of the collisionless time-dependent Vlasov equation is found. For the first time in a century, an analytical solution to the one-dimensional time-dependent Vlasov–Boltzmann equation has been found. It has been found that instead of the widely discussed damping, waves are subject to instability. By means of this solution, the behavior of the Langmuir waves in the nonlinear stage is considered. A symmetry method is found that allows us to establish the dependence on time of the desired quantity based on the dependence on the previous time. The analysis is restricted by the consideration of the first nonlinear approximation—keeping the second power of the electric strength. It is shown that in general the waves with finite amplitudes are not subjected to the damping. Conditions have been found under which waves can be unstable.

• Jezik: Angleški jezik
• Ključne besede: plasmawave analysis, nonlinear Landau damping, parametric instability, collisionless Vlasov–Boltzmann kinetic equation
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FS - Fakulteta za strojništvo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: 11 str.
• Številčenje: Vol. 17, iss. 6, art. 809
• PID: 20.500.12556/RUL-169659
• UDK: 534.2
• ISSN pri članku: 2073-8994
• DOI: 10.3390/sym17060809
• COBISS.SI-ID: 238548995
• Datum objave v RUL: 06.06.2025

Gradivo je del revije

• Naslov: Symmetry
• Skrajšan naslov: Symmetry
• Založnik: MDPI
• ISSN: 2073-8994
• COBISS.SI-ID: 517592345

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.