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2013 | 124 | 1 | 35-40
Article title

Effect of Structural Potential on Magnetic Vortex Solitons in Spatially 1D-Extended Josephson Junction

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EN
Abstracts
EN
Soliton evolution in spatially extended Josephson junction is studied for three types of ad hoc structural potentials describing tunnelling magnetic flux vortices; symmetric, ratchet and double-well. Setting from the inline geometry of the junction, the soliton dynamics could be modelled by the perturbed sine-Gordon equation. Numerical solutions of the latter equation yielded the soliton waves of the fluxon phase, for boundary conditions imposed on the system upon variation of the dispersion parameter α. It has been found that a change in the soliton waveform and intensity occurs as α goes higher, in dependence on the functional of the potential and its symmetry properties. For ratchet and double-well potential at α=0.5, a time-dependent forcing has been found to endorse the balance between dispersion and nonlinearity, jointly with enhancing the stability of the soliton wave. The McLoughlin-Scott perturbation theory has been adopted to show that the system conserves energy due to the delicate balance between nonlinearity and dispersion, so that the soliton keeps robust as it temporally evolves.
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  • Department of Physics, Atomic Energy Commission of Syria (AECS), Damascus, P.O. Box 6091, Syria
References
  • [1] M. Wadati, Pramana J. Phys. 57, 841 (2001)
  • [2] K.K. Likharev, Dynamics of Josephson Junctions and Circuits, Gordon and Breach, New York 1981
  • [3] A.A. Abrikosov, Fundamentals of the Theory of Metals, North-Holland, Amsterdam 1988
  • [4] M. Nakahara, T. Ohmi, Quantum Computing: From Linear Algebra to Physical Realizations, Taylor and Francis Group, Boca Raton (FL) 2008
  • [5] N.F. Pedersen, IEEE Trans. Magn. 27, 3328 (1991)
  • [6] A.V. Ustinov, T. Doderer, R.P. Huebener, J. Mygind, V.A. Oboznov, N.F. Pedersen, IEEE Trans. On. App. Super. 3, 2287 (1993)
  • [7] R.D. Parmentier, in: Solitons in Action, Eds. K. Loungren, A. Scott, Academic Press, New York 1978, p. 173
  • [8] F. Raissi, Appl. Phys. Lett. 86, 263503 (2005)
  • [9] S. Rachel, A. Shnirman, Phys. Rev. B 80, 180508(R) (2009)
  • [10] D.B. Haviland, K. Andersson, P. Agren, J. Low Temp. Phys. 118, 733 (2000)
  • [11] P. Agren, K. Andersson, D.B. Haviland, J. Low Temp. Phys. 124, 291 (2001)
  • [12] A.V. Ustinov, C. Coqui, A. Kemp, Y. Zolotaryuk, M. Salerno, Phys. Rev. Lett. 93, 087001 (2004)
  • [13] A. Davidson, B. Dueholm, B. Kryger, N.F. Pedersen, Phys. Rev. Lett. 55, 2059 (1985)
  • [14] V. Zharnitsky, I. Mitkov, N. Grönbech-Jensen, Phys. Rev. E 58, R52 (1998)
  • [15] A.R. Bishop, K. Fesser, P.S. Lomdahl, S.E. Trullinger, Physica D 7, 259 (1983)
  • [16] N.F. Pedersen, in: Solitons, Eds. S.E. Trullinger, V.E. Zakharov, V.L. Pokrovsky, Elsevier, Amsterdam 1986, p. 469
  • [17] M. Salerno, N.R. Quintero, Phys. Rev. E 65, 025602 (2002)
  • [18] S. Denisov, S. Flach, A. Gorbach, Europhys. Lett. 72, 183 (2005)
  • [19] K.W. Morton, D.F. Mayers, Numerical Solution of Partial Differential Equations: An Introduction, Cambridge University Press, Cambridge 2005
  • [20] D.W. McLoughlin, A.C. Scott, Phys. Rev. A 18, 1652 (1978)
  • [21] R.D. Astumian, P. Hänggi, Physics Today 55, (11) 33 (2002)
  • [22] P. Hänggi, R. Bartussek, Lecture Notes in Physics, Vol. 476, Eds. J. Parisi, C. Müller, W. Zimmermann, Springer, Berlin 1996, p. 294
  • [23] S. Al-Khawaja, Physica C 420, 30 (2005)
  • [24] S. Al-Khawaja, Acta Phys. Pol. B 41, 541 (2010)
  • [25] D. Poletti, T.J. Alexander, E.A. Ostrovskaya, B. W. Li, Y.S. Kivshar, Phys. Rev. Lett. 101, 150403 (2008)
  • [26] E. Neumann, A. Pikovsky, Eur. Phys. J. B 26, 219 (2002)
  • [27] P.L. Christiansen, Y.B. Gaididei, S.F. Mingaleev, J. Phys., Condens. Matter 13, 1181 (2001)
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bwmeta1.element.bwnjournal-article-appv124n107kz
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