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035 _a(RuTPU)RU\TPU\network\458
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090 _a636483
100 _a20140203a2008 k y0engy50 ba
101 0 _aeng
102 _aUS
135 _adrnn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aKink velocity in nonstationary external fields for the sine-Gordon model with allowance for dissipation effects
_fL. A. Krasnobaeva, A. V. Shapovalov
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: p. 98 (12 tit.)]
330 _aWith the help of energy analysis suggested by McLaughlin and Scott for the sine-Gordon equation, evolution of kink velocity modeling the propagation of a local conformational perturbation along the DNA molecule under the simultaneous action of dissipation effects and special nonstationary external fields is investigated. For a harmonically time-dependent external force, the kink velocity is characterized by oscillations about a rather monotonically decreasing trend expressed by an explicit analytical formula. The trend velocity coincides with the results of calculations of the kink velocity averaged over the period on different time intervals. Similar results are obtained for a nonstationary force in the form of a step function. A numerical analysis, in particular, demonstrates that the trend velocity changes its behavior for certain values of rectangular pulse duration
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tRussian Physics Journal
_oScientific Journal
463 _tVol. 51, iss. 1
_v[P. 89-98]
_d2008
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _asoliton
610 1 _aсолитоны
610 1 _asine-Gordon equation
610 1 _aуравнение синус-Гордона
610 1 _adissipation
610 1 _aрассеивание
700 1 _aKrasnobaeva
_bL. A.
701 1 _aShapovalov
_bA. V.
_cmathematician
_cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences
_f1949-
_gAleksandr Vasilyevich
_2stltpush
_3(RuTPU)RU\TPU\pers\31734
801 2 _aRU
_b63413507
_c20180306
_gRCR
856 4 _uhttp://link.springer.com/article/10.1007/s11182-008-9020-7
942 _cCF