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High Energy Density In The Collision Of N Kinks In The φ4 Model

نویسنده:
علی اکبر مرادی مرجانه
,
D.Saadatmand
,
Kun Zhou
,
Sergy V. Dmitriev
,
محمدابراهیم زمردیان
,
Aliakbar Moradi Marjaneh
,
Mohammad Ebrahim Zomorrodian
سال
: 2017
چکیده: Recently for the sine-Gordon equation it has been established that during collisions of N slow kinks maximal energy density increases as N 2 . In this numerical study, the same scaling rule is established for the non-integrable φ4 model for N ≤5. For odd (even) N the maximal energy density is in the form of potential (kinetic) energy density. Maximal elastic strain is also calculated. In addition, the effect of the kink’s internal modes on the maximal energy density is analysed for N = 1 , 2, and 3. Our results suggest that in multi- soliton collisions very high energy density can be achieved in a controllable manner.
یو آر آی: http://libsearch.um.ac.ir:80/fum/handle/fum/3361074
کلیدواژه(گان): Energy density,φ4 model,Kink’s internal mode
کالکشن :
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    High Energy Density In The Collision Of N Kinks In The φ4 Model

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contributor authorعلی اکبر مرادی مرجانهen
contributor authorD.Saadatmanden
contributor authorKun Zhouen
contributor authorSergy V. Dmitrieven
contributor authorمحمدابراهیم زمردیانen
contributor authorAliakbar Moradi Marjanehfa
contributor authorMohammad Ebrahim Zomorrodianfa
date accessioned2020-06-06T13:35:26Z
date available2020-06-06T13:35:26Z
date issued2017
identifier urihttp://libsearch.um.ac.ir:80/fum/handle/fum/3361074
description abstractRecently for the sine-Gordon equation it has been established that during collisions of N slow kinks maximal energy density increases as N 2 . In this numerical study, the same scaling rule is established for the non-integrable φ4 model for N ≤5. For odd (even) N the maximal energy density is in the form of potential (kinetic) energy density. Maximal elastic strain is also calculated. In addition, the effect of the kink’s internal modes on the maximal energy density is analysed for N = 1 , 2, and 3. Our results suggest that in multi- soliton collisions very high energy density can be achieved in a controllable manner.en
languageEnglish
titleHigh Energy Density In The Collision Of N Kinks In The φ4 Modelen
typeJournal Paper
contenttypeExternal Fulltext
subject keywordsEnergy densityen
subject keywordsφ4 modelen
subject keywordsKink’s internal modeen
journal titleCommunications in Nonlinear Science and Numerical Simulationfa
pages30-38
journal volume49
journal issue1
identifier linkhttps://profdoc.um.ac.ir/paper-abstract-1063341.html
identifier articleid1063341
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