پایداری و تحلیل دوشاخگی امواج یون-صوتی غیرخطی در الکترون-پوزیترون-یون پلاسماهای فوق حرارتی

مهدی پور, مصطفی

doi:10.22055/jrmbs.2023.18420

پایداری و تحلیل دوشاخگی امواج یون-صوتی غیرخطی در الکترون-پوزیترون-یون پلاسماهای فوق حرارتی

نوع مقاله : مقاله پژوهشی کامل

نویسنده

مصطفی مهدی پور

گروه فیزیک، دانشکده علوم پایه، دانشگاه گنبد کاووس، گنبد کاووس، ایران

10.22055/jrmbs.2023.18420

چکیده

در این پژوهش، پایداری و تحلیل دوشاخگی امواج غیرخطی یون-صوتی در یک پلاسما شامل یونهای سرد، الکترون‌ها و پوزیترون های غیرماکسولی(با توزیع کاپا) بررسی شده است. در ابتدا، یک معادله مشخصه برای دینامیک امواج یون-صوتی تعیین و سپس پایداری امواج در حال حرکت در فضای پارامتری نقاط تعادل و چگالی پوزیترون‌ها مورد بحث قرار گرفته است. مشخص می‌شود که حرکت دینامیکی مدارهای هموکلینیک و مدارهای دوره‌ای غیرخطی به ازای یک مقدار بحرانی چگالی پوزیترون p_c تحت دوشاخگی قرار می‌گیرند، طوری‌که دو نقطه ثابت بهم برخورد می‌کنند و سپس پایداری آنها تغییر می‌کند. تغییرات چگالی اولیه p_i و بحرانی پوزیترون‌ها p_c، برحسب طیف گسترده‌ای از مقادیر شاخص طیفی پوزیترون‌ها κ_p و نسبت دمای الکترون‌ها به پوزیترون‌ها δ نیز مورد مطالعه قرار گرفته است. علاوه براین، بر طبق تحلیل فضای فاز، وجود مدارهای هموکلینیک، مدارهای دوره‌ای غیرخطی و همچنین تناوبی با دامنه بالا نیز برای شرایط مختلف بررسی شده است. نشان داده شده است که چگالی پوزیترون‌ها و نسبت دمای الکترون به پوزیترون نقش مهمی در انتشار امواج غیرخطی دارند.

کلیدواژه‌ها

موضوعات

پلاسما

عنوان مقاله [English]

Stability and bifurcation analysis of nonlinear ion-acoustic waves in superthermal electron-positron-ion plasmas

نویسنده [English]

Mostafa Mehdipoor

Department of Physics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran

چکیده [English]

In this study, the stability and bifurcation analysis of nonlinear ion-acoustic waves is investigated in a non-Maxwellian plasma consisting of cold ions and Kappa-distributed electrons and positrons. First, a characteristic equation for the evolution of ion-acoustic waves is obtained and then the stability of traveling wave solution on fixed points-energetic positron density plane is discussed numerically. It is found that the motion dynamics of homoclinic orbits and nonlinear periodic orbits undergo a transcritical bifurcation at the critical positron density , where two fixed points coalesce, and then switch their stabilities. The variations of the initial and critical positron concentrations versus a wide range of values of the spectral index of positrons and electron-to-positron temperature ratio are also studied. Furthermore, according to the phase portraits analysis, the coexistence of homoclinic orbits, nonlinear periodic, and super nonlinear periodic orbits is also investigated for different conditions. It is shown that the positron density and the temperature ratio of electron to positron play a crucial role in the propagation of nonlinear waves.

کلیدواژه‌ها [English]

Ion-acoustic waves
Bifurcation analysis
Superthermal plasmas
Phase portrait

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