ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Suchkov S. V., Dmitriev S. V. Kink dynamics in the discrete Klein–Gordon model with asymmetric potential in the presence of AC driving. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 121-131. DOI: 10.18500/0869-6632-2010-18-4-121-131

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Nonlinear Waves. Solitons
Article type: 
Article
UDC: 
53.072:681.3+539.2
DOI: 
10.18500/0869-6632-2010-18-4-121-131

Kink dynamics in the discrete Klein–Gordon model with asymmetric potential in the presence of AC driving

Autors: 
Suchkov Sergej Vladimirovich, Institute of Problems of Metal Superplasticity RAS
Dmitriev Sergej Vladimirovich, Institute of Problems of Metal Superplasticity RAS
Abstract: 

A discrete Klein­Gordon model with asymmetric potential that supports kinks free of the Peierls­Nabarro potential (PNp) is constructed. Ratchet of kink under harmonic AC driving force is investigated in this model numerically and contrasted with the kink ratchet in the conventional discrete model where kinks experience the PNp. We show that the PNp­free kinks exhibit ratchet dynamics very much different from that reported for the conventional lattice kinks which experience PNp. Particularly, we could not observe any significant influence of the discreteness parameter on the acceleration of PNp­free kinks induced by the AC driving. A threshold value of the viscosity coefficient was found where the drift velocity of the kink changes sign.

Key words: 
Discrete model
ratchet
kink
Peierls–Nabarro potential
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Received: 
23.01.2010
Accepted: 
23.01.2010
Published: 
29.10.2010
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