جواب‌های موجی منفرد سیستم سینوسی گوردون چند میدانه

علمائی, علیرضا; محمدی, محمد

doi:10.22055/jrmbs.2024.19490

جواب‌های موجی منفرد سیستم سینوسی گوردون چند میدانه

نوع مقاله : مقاله پژوهشی کامل

نویسندگان

¹ گروه فیزیک، دانشکده علوم پایه، دانشگاه جهرم، جهرم، ایران

² گروه فیزیک، دانشکده علوم پایه، دانشگاه خلیج فارس، بوشهر، ایران

10.22055/jrmbs.2024.19490

چکیده

در این مقاله به‌معرفی جواب‌های منفرد سیستم غیرخطی سینوسی گوردن چند میدانه می‌پردازیم. علی‌رغم استفاده از تعدادی میدان مستقل درهم‌تنیده برای معرفی این سیستم، ولی رفتار جمعی این میدان‌ها می‌تواند به‌جواب‌های کینک (پادکینک) با ویژگی‌های ماکروسکوپیک یکسان منتج شود. به‌بیانی دیگر یک کینک به لحاظ ساختار داخلی به‌بینهایت وضعیت متفاوت می‌تواند ساخته شود. نکتة مهم در رابطه با این ساختار داخلی آن است که خروجی برخوردها به‌طور مؤثری به‌آن وابسته بوده و عملاً شاهد یک عدم قطعیت در خروجی برخوردها هستیم. جواب‌های تابشی نوع دیگری از جواب‌های سیستم سینوسی گوردن چند میدانه می‌باشد که به‌طور طبیعی در همة برخوردهای ناهم‌فاز کینک-پادکینک ظاهر می‌شوند. برعکس، برخورد دو جواب تابشی توپولوژیک می‌تواند به خلق یک زوج کینک-پادکینک منتج شود.

کلیدواژه‌ها

موضوعات

فیزیک ذرات بنیادی

عنوان مقاله [English]

Solitary Wave Solutions of the Multi-Field Sine-Gordon System

نویسندگان [English]

Alireza Olamaei ¹
Mohammad Mohammadi ²

¹ Department of Physics, Faculty of Science, Jahrom University, Jahrom, Iran

² Department of Physics, Faculty of Science, Persian Gulf University, Bushehr, Iran

چکیده [English]

In this paper, we introduce solitary solutions of the nonlinear multi-field sine-Gordon system. Despite the use of several independent entangled fields to introduce this system, but the collective behavior of these fields can lead to kink (antikink) solutions with the same macroscopic characteristics. In other words, a kink can be constructed in infinitely different states in terms of internal structure. The important point about this internal structure is that the output of the collisions is effectively dependent on it and we are actually witnessing an uncertainty in the output of the collisions. Radiative solutions are another type of solution of the multi-field sine-Gordon system that naturally appears in all kink-antikink collisions. Conversely, the collision of two topological radiative solutions can result in the creation of a kink-antikink pair.

کلیدواژه‌ها [English]

Sine-Gordon
kink
Radiative profiles
Uncertainty

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