RT Journal Article
T1 Dynamics of a Ø4 kink in the presence of strong potential fluctuations, dissipation, and boundaries
A1 Sánchez, Angel
A1 Vázquez, Luis
AB We have carried out a number of simulations to study the dynamical behavior of kinks inthe ifJ4 model in the presence of strong fluctuations of its double-well potential. Our workwidens the computational and analytical knowledge of this system in four directions. First,we describe in detail a numerical procedure that can be easily generalized to other stochastic,soliton-bearing equations. We demonstrate that it exhibits consistency features never found inprevious research on nonlinear stochastic partial differential equations. Second, we fix the rangeof validity of theoretical approaches based on secular perturbative expansions. We show how thisrange depends on a combination of noise strength and duration. Third, we numerically studythe model beyond the applicability of analytical methods. We compute the main characteristicsof kink dynamics in this regime and discuss their stability under this random perturbation.Finally, we introduce dissipation and boundaries in the dynamically disordered model. Weestablish that the essential consequence of friction action is to soften the noise effects, whileboundaries give rise to a critical velocity below which kinks cannot enter the noisy zone.
PB American Physical Society
SN 1050-2947 (print version)
SN 1094-1622 (online version)
YR 1991
FD 1991-07-15
LK http://hdl.handle.net/10016/15039
UL http://hdl.handle.net/10016/15039
LA eng
NO We are thankful for partial financial support from the Direccion General de Investigacion Cientifica y Tecnica (DGICyT) through Project No. TIC 73/89. A.S. was supported by the program ((Formacion de Personal Investigador" of the Ministerio de Educación y Ciencia of Spain.
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