The inertia mode of uniformly driven kinks in damped multistable systems

Magyari, E.

doi:10.1007/bf01303740

Z. Physik B - Condensed Matter

1985

DOI: 10.1007/bf01303740

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The inertia mode of uniformly driven kinks in damped multistable systems

E. Magyari

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Cited by 2 publications

References 24 publications

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Soliton-like excitations in a deformable spin model

Nguenang

Kenfack

Kofané

2004

J. Phys.: Condens. Matter

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Nonlinear excitations in a one-dimensional deformable, discrete, classical, ferromagnetic chain are numerically investigated. In the continuum limit the equations of motion are reduced to a Klein-Gordon equation, with a Remoissenet-Peyrard substrate potential. From a numerical computation of the discrete system with a suitable choice of the deformability parameters, the soliton solutions are shown to exist and move both with a monotonic oscillating (i.e. nanopteron) and a monotonic nonoscillating tail, and also with a nonoscillating tail but with a splitting propagating shape. The stability of all these various soliton shapes is confirmed numerically in a range of the reduced magnetic fields greater than for a rigid magnetic chain i.e. 0 b 0.33. From a kink-antikink and a kink-kink colliding simulation, we found various effects, including a bound state of a kink and an antikink, as well as a moving kink profile with higher topological charge that appears to be the bound state of two kinks. For some values of the deformability parameter, with a suitable choice of the initial velocity, we observed that the presence of an internal mode leads to the combination of an attractive and a repulsive phenomenon, that arises when the kink-kink collision is engaged. The fact that this collision happens only in the centre of the magnetic chain with the presence of a minimal distance between the two kinks as long as the collision is produced is also a feature of the deformability effect in the dynamics of a magnetic chain. From our results, it appears that the value of the shape parameter of the substrate potential or the modified Zeeman energy is a factor of utmost importance when modelling magnetic chains.

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Soliton-like excitations in a deformable spin model

Nguenang

Kenfack

Kofané

2004

J. Phys.: Condens. Matter

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Propagation and stability of kinks in driven and damped nonlinear Klein-Gordon chains

Büttiker

Thomas

1988

Phys. Rev. A

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The inertia mode of uniformly driven kinks in damped multistable systems

Cited by 2 publications

References 24 publications

Soliton-like excitations in a deformable spin model

Soliton-like excitations in a deformable spin model

Propagation and stability of kinks in driven and damped nonlinear Klein-Gordon chains

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