Kink excitation spectra in the (1+1)-dimensional φ8 model

Gani, Vakhid A.; Lensky, Vadim; Lizunova, Mariya A.

doi:10.1007/jhep08(2015)147

Cited by 114 publications

(116 citation statements)

References 51 publications

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“…This feature is interesting, for example, for the study of the force between kinks, where one usually obtains short-range interactions mediated by the asymptotic behavior of the kinklike solutions [15,16]. In addition, the existence of topological sectors linking minima with non-vanishing masses may result in the presence of excited modes in the spectrum of the stability equation related to resonances arising in kink/anti-kink scattering process [17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Analytical study of kinklike structures with polynomial tails

2018

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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.

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Section: Introductionmentioning

confidence: 99%

Analytical study of kinklike structures with polynomial tails

2018

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“…Multi-soliton solutions to the sine-Gordon (sG) equation have been derived analytically [20,21] and analyzed by many authors [22,23,24,25,26,27,28,29,30,31]. Colliding solitons can produce high energy density spots and for many applications it is important to know how large the energy density can be in multi-soliton collisions.…”

Section: Introductionmentioning

confidence: 99%

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

2018

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Abstract. In our recent study the maximal values of kinetic and potential energy densities that can be achieved in the collisions of N slow kinks in the sine-Gordon model were calculated analytically (for N = 1, 2, and 3) and numerically (for 4 ≤ N ≤ 7). However, for many physical applications it is important to know not only the total potential energy density but also its two components (the on-site potential energy density and the elastic strain energy density) as well as the extreme values of the elastic strain, tensile (positive) and compressive (negative). In the present study we give (i) the two components of the potential energy density and (ii) the extreme values of elastic strain. Our results suggest that in multisoliton collisions the main contribution to the potential energy density comes from the elastic strain, but not from the on-site potential. It is also found that tensile strain is usually larger than compressive strain in the core of multi-soliton collision.PACS. 05.45.Yv Solitons -11.10.Lm Nonlinear or nonlocal theories and models -45.50.Tn Collisions

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“…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.

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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.

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Kink excitation spectra in the (1+1)-dimensional φ8 model

Cited by 114 publications

References 51 publications

Analytical study of kinklike structures with polynomial tails

Analytical study of kinklike structures with polynomial tails

Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Kinks in the relativistic model with logarithmic nonlinearity

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