Kink velocity in nonstationary external fields for the sine-Gordon model with allowance for dissipation effects

L. A. Krasnobaeva, A. V. Shapovalov

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

With 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.

Original languageEnglish
Pages (from-to)89-98
Number of pages10
JournalRussian Physics Journal
Volume51
Issue number1
DOIs
Publication statusPublished - Jan 2008
Externally publishedYes

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allowances
dissipation
trends
step functions
numerical analysis
pulse duration
deoxyribonucleic acid
intervals
perturbation
oscillations
propagation
molecules
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Kink velocity in nonstationary external fields for the sine-Gordon model with allowance for dissipation effects. / Krasnobaeva, L. A.; Shapovalov, A. V.

In: Russian Physics Journal, Vol. 51, No. 1, 01.2008, p. 89-98.

Research output: Contribution to journalArticle

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