Scattering of the φ8 kinks with power-law asymptotics

Belendryasova, Ekaterina; Gani, Vakhid A.

doi:10.1016/j.cnsns.2018.07.030

Cited by 99 publications

(104 citation statements)

References 113 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We can also ask about the collision of kinks and anti-kinks with polynomial tails, an issue that can be implemented as in [39]. Since the topological structures here investigated simulate long range interactions, further investigations are welcome, mainly in the directions concerning issues related to their collective behavior [30], and to applications to the physics of quantum gases [31] and quantum information [32].…”

Section: Ending Commentsmentioning

confidence: 99%

Analytical study of kinklike structures with polynomial tails

2018

View full text Add to dashboard Cite

This work deals with models described by a single real scalar field in two-dimensional spacetime. The aim is to propose potentials that support massless minima and investigate the presence of kinklike structures that engender polynomial tails. The results unveil the presence of families of asymmetric solutions with energy density and linear stability that behave adequately, enhancing the importance of the analytical study. We stress that the novel topological structures which we find in this work engender long range interactions that are of current interest to statistical mechanics, dipolar quantum gases and the study of quantum information with Rydberg atoms.

show abstract

Section: Ending Commentsmentioning

confidence: 99%

Analytical study of kinklike structures with polynomial tails

2018

View full text Add to dashboard Cite

show abstract

“…A broad class of (1, 1)-dimensional models with polynomial potentials such as the ϕ 4 , ϕ 6 , ϕ 8 models, and those with higher degree polynomial self-interaction has been considered [62][63][64][65][66][67][68][69][70][71][72][73][74][75][76]. One should also mention the new results on the long-range interaction between kinks [74][75][76][77][78][79]. Other models with non-polynomial potentials are also being discussed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Scattering of kinks of the sinh-deformed $$\varphi ^4$$ φ 4 model

2018

Self Cite

View full text Add to dashboard Cite

We consider the scattering of kinks of the sinhdeformed ϕ 4 model, which is obtained from the well-known ϕ 4 model by means of the deformation procedure. Depending on the initial velocity v in of the colliding kinks, different collision scenarios are realized. There is a critical value v cr of the initial velocity, which separates the regime of reflection (at v in > v cr ) and that of a complicated interaction (at v in < v cr ) with kinks' capture and escape windows. Besides that, at v in below v cr we observe the formation of a bound state of two oscillons, as well as their escape at some values of v in .

show abstract

“…In order to confirm this conjecture, we are planning study the linear stability of the kink in a spirit of refs. [4,5,7].…”

Section: Discussionmentioning

confidence: 99%

Kinks in the relativistic model with logarithmic nonlinearity

Belendryasova

Gani

Zloshchastiev

2019

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

We study the properties of a relativistic model with logarithmic nonlinearity.We show that such model allows two types of solutions: topologically trivial (gaussons) and topologically non-trivial (kinks), depending on a sign of the nonlinear coupling. We focus primarily on the kinks' case and study their scattering properties. For the kink-antikink scattering, we have found a critical value of the initial velocity, which separates two different scenarios of scattering. For the initial velocities below this critical value, the kinks form a bound state, which then decays slowly. If the initial velocities are above the critical value, the kinks collide, bounce and eventually escape to infinities. During this process, the higher initial velocity is, the greater is the elasticity of the collision. We also study excitation spectrum of the kink solution.

show abstract

Scattering of the φ8 kinks with power-law asymptotics

Cited by 99 publications

References 113 publications

Analytical study of kinklike structures with polynomial tails

Analytical study of kinklike structures with polynomial tails

Scattering of kinks of the sinh-deformed $$\varphi ^4$$ φ 4 model

Kinks in the relativistic model with logarithmic nonlinearity

Contact Info

Product

Resources

About