| 000 | 02572nlm1a2200385 4500 | ||
|---|---|---|---|
| 001 | 636485 | ||
| 005 | 20231030040136.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\460 | ||
| 035 | _aRU\TPU\network\458 | ||
| 090 | _a636485 | ||
| 100 | _a20140203a2008 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aKink dynamics in the medium with a random force and dissipation in the sine-Gordon model _fL. A. Krasnobaeva, A. V. Shapovalov |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: p. 167 (19 tit.)] | ||
| 330 | _aWithin the formalism of the Fokker-Planck equation, the influence of nonstationary external force, random force, and dissipation effects on the kink dynamics is investigated in the sine-Gordon model. The equation of evolution of the kink momentum is obtained in the form of the stochastic differential equation in the Stratonovich sense within the framework of the well-known McLaughlin and Scott energy approach. The corresponding Fokker-Planck equation for the momentum distribution function coincides with the equation describing the Ornstein-Uhlenbek process with a regular nonstationary external force. The influence of the nonlinear stochastic effects on the kink dynamics is considered with the help of the Fokker-Planck nonlinear equation with the shift coefficient dependent on the first moment of the kink momentum distribution function. Expressions are derived for average value and variance of the momentum. Examples are considered which demonstrate the influence of the external regular and random forces on the evolution of the average value and variance of the kink momentum | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 |
_tRussian Physics Journal _oScientific Journal |
||
| 463 |
_tVol. 51, iss. 2 _v[P. 158-167] _d2008 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 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 |
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| 856 | 4 | _uhttp://link.springer.com/article/10.1007/s11182-008-9040-3 | |
| 942 | _cCF | ||