نوع مقاله : مقاله پژوهشی
نویسنده
گروه فیزیک، دانشکده علوم پایه، دانشگاه صنعتی نوشیروانی بابل، صندوق پستی: 484، بابل- ایران
چکیده
در این مقاله انواع دو شاخگی‌ها و ویژگی‌های فضای فاز مربوط به انتشار امواج یون- صوتی در یک پلاسما با حضور الکترون‌های پرانرژی با توزیع غیرحرارتی و یون‌های گرم مطالعه شده است. ابتدا یک سیستم دینامیکی برای تحول این امواج فرکانس پایین به‌دست آمده است و سپس منحنی دوشاخگی سیستم در فضای پارامتری نقاط تعادل و چگالی الکترون‌های پرانرژی ترسیم شده است. محاسبات عددی انجام شده روی پایداری سیستم نشان می‌دهد که به ازای مقادیر معینی از چگالی الکترون‌های پر انرژی در پلاسما، تحول دینامیکی امواج به شکلی است که در آن دوشاخگی ترابحرانی رخ می‌دهد. به ازای مقادیر بحرانی از جمعیت الکترون‌های سریع دو موج سالیتونی و تناوبی غیرخطی بهم برخورد می‌کنند و سپس پایداری آن‌ها تغییر می‌کند. علاوه بر این، با افزایش چگالی الکترون‌های سریع از این مقدار بحرانی، دوشاخگی زین- گره اتفاق می‌افتد که منجر به انتشار یک موج تناوبی در پلاسما می‌شود. محدوده وجود دوشاخگی‌ها و گذار بین امواج غیرخطی به ازای مقادیر مختلف دمای یونی و چگالی الکترون‌های پر انرژی نیز مورد بررسی قرار گرفته است.
کلیدواژه‌ها
عنوان مقاله [English]
Effect of energetic electrons on transcritical bifurcation of low-frequency electrostatic waves in plasma
نویسنده [English]
- H. Alinejad
Department of Physics, Faculty of Basic Science, Babol Noshirvani University of Technology, P.O.Box: 484, Babol - Iran
چکیده [English]
This paper studies the bifurcation types and phase portrait properties of ion-acoustic traveling waves in a plasma comprising warm adiabatic ions and energetic electrons with a nonthermal distribution function. A dynamical system is first derived for the evolution of the low-frequency wave, and then the bifurcation response is determined on the fixed points-energetic electron concentration plane. Our numerical results show that the motion dynamics of traveling waves undergo a transcritical bifurcation for a given value of energetic electrons. Both solitary and nonlinear periodic waves coalesce and switch their stability at the critical electron density value. Moreover, for higher values of the fast electrons density, a saddle-node bifurcation occurs, which leads to the propagation of periodic waves in plasma. The existence domain of bifurcation and transition between nonlinear modes are also determined for different values of ion temperature and energetic electrons density.
کلیدواژه‌ها [English]
- Bifurcation analysis
- Low-frequency waves
- Phase portrait
- energetic electrons
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