برخوردهای چند کینکی در مدل تغییر شکل یافته هایپربولیک سینوسی φ^4

نوع مقاله : مقاله پژوهشی کامل

نویسندگان

1 باشگاه پژوهشگران جوان، واحد قوچان، دانشگاه آزاد اسلامی، قوچان، ایران

2 گروه فیزیک دانشکده شهید منتظری، دانشگاه فنی و حرفه‌ای خراسان رضوی، ایران

3 گروه فیزیک، دانشگاه پیام نور ، ایران

چکیده

در این مقاله، برخوردهای دو تا پنج کینکی مدل انتگرال ناپذیر سینوسی هایپربولیک φ^4 که مدلی تغییر شکل یافته از مدل کاملا شناخته شده φ^4 است، را به صورت عددی مطالعه می‌کنیم . در این بررسی حالت‌های مقید و پراکنده رویت شدند که به تعداد کینک و شرایط اولیه بستگی دارند. علاوه بر آن، نتایج نشان می‌دهند که چگالی انرژی در نقطه برخورد، بیشینه است که برای تعداد فرد (زوج) بیشتر به صورت چگالی انرژی پتانسیل (چگالی انرژی جنبشی) ظاهر می‌شود. مقادیر چگالی انرژی کل و تغییر شکل در هر دو مدل φ^4 و سینوسی هایپربولیک φ^4 تقریبا یکسان هستند، اما مقادیر چگالی انرژی جنبشی در برخوردهای با تعداد فرد و چگالی انرژی پتانسیل در برخوردهای با تعداد زوج برای این دو مدل متفاوت است.

کلیدواژه‌ها

عنوان مقاله [English]

Multi kinks collision in sinh-deformed φ^4 model

نویسندگان [English]

  • Aliakbar Moradi Marjaneh 1
  • Mahdy Ebrahimi Loushab 2
  • Farhad Mohammad Jafari 3
1 Department of physics, Islamic Azad University, Quchan Branch
2 Department of Physics, Faculty of Montazeri Technical and Vocational University (TVU), Khorasan Razavi, IRAN
3 Faculty member, Department of Physics, Payam Noor University,
چکیده [English]

We study the kinks collisions up to five kinks and antikinks of the sinh-deformed φ^4 model numerically. In our simulations we observe reflection and bound state formation depending on the number of kinks and their initial conditions. The results show that the energy density at the point of collision is the maximum, which for odd (even) kinks appears in the form of potential energy density (kinetic energy density). The values of total energy density and elastic strain energy density of the φ^4 and sinh-deformed φ^4 models are almost the same, but the values of kinetic energy density in collisions of odd number of kinks and potential energy density in collisions of even number of kinks are different for these two models.

کلیدواژه‌ها [English]

  • 05.45.Yv Solitons
  • 11.10.Lm Nonlinear or nonlocal theories and models
  • 45.50.Tn Collisions

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  • تاریخ دریافت: 30 شهریور 1399
  • تاریخ بازنگری: 19 آبان 1399
  • تاریخ پذیرش: 11 بهمن 1399

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