Resonant interaction of phi(4) kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014841" target="_blank" >RIV/62690094:18470/18:50014841 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.cnsns.2017.07.019" target="_blank" >http://dx.doi.org/10.1016/j.cnsns.2017.07.019</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cnsns.2017.07.019" target="_blank" >10.1016/j.cnsns.2017.07.019</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Resonant interaction of phi(4) kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient

Popis výsledku v původním jazyce

The resonant interaction of the phi(4) kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first partial derivative in time term with a spatially periodic gain/loss coefficient. When the kink interacts with the perturbation, the kink&apos;s internal mode is excited with the amplitude varying in time quasiperiodically. The maximal value of the amplitude was found to grow when the kink velocity is such that it travels one period of the gain/loss prefactor in nearly one period of the kink&apos;s internal mode. It is also found that the kink&apos;s translational and vibrational modes are coupled in a way that an increase in the kink&apos;s internal mode amplitude results in a decrease in kink velocity. The results obtained with the collective variable method are in a good qualitative agreement with the numerical simulations for the continuum model. The results of the present study suggest that kink dynamics in open systems with balanced gain and loss can have new features in comparison with the case of conservative systems. (C) 2017 Elsevier B.V. All rights reserved.

Název v anglickém jazyce

Resonant interaction of phi(4) kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient

Popis výsledku anglicky

The resonant interaction of the phi(4) kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first partial derivative in time term with a spatially periodic gain/loss coefficient. When the kink interacts with the perturbation, the kink&apos;s internal mode is excited with the amplitude varying in time quasiperiodically. The maximal value of the amplitude was found to grow when the kink velocity is such that it travels one period of the gain/loss prefactor in nearly one period of the kink&apos;s internal mode. It is also found that the kink&apos;s translational and vibrational modes are coupled in a way that an increase in the kink&apos;s internal mode amplitude results in a decrease in kink velocity. The results obtained with the collective variable method are in a good qualitative agreement with the numerical simulations for the continuum model. The results of the present study suggest that kink dynamics in open systems with balanced gain and loss can have new features in comparison with the case of conservative systems. (C) 2017 Elsevier B.V. All rights reserved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Communications in nonlinear science and numerical simulation

ISSN

1007-5704

e-ISSN

—

Svazek periodika

56

Číslo periodika v rámci svazku

MAR

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

62-76

Kód UT WoS článku

000412682700005

EID výsledku v databázi Scopus

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