کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9867892 | 1530674 | 2005 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Transient radiative behavior of Hamiltonian systems in finite domains
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We show that Hamiltonian partial differential equations on compact spatial domains can display transient radiative behavior, usually associated with infinite domains. This is done by considering a model of a single oscillator coupled to a wave field, which damps due to the resonant coupling of the oscillator with a discrete frequency with the continuous spectrum of the field. The analysis carried out illustrates that despite the “discretization” of the continuous spectrum due to the finiteness of the domain, a remnant of the resonance mechanism persists. In particular, this explains how numerical computations on bounded domains accurately simulate, on large but finite time scales, phenomena associated with infinite spatial domains. Numerical simulations in the present model show good agreement with our theoretical predictions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 345, Issues 1â3, 26 September 2005, Pages 1-9
Journal: Physics Letters A - Volume 345, Issues 1â3, 26 September 2005, Pages 1-9
نویسندگان
Z. Rapti, M.I. Weinstein, P.G. Kevrekidis,