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Purpose: Purpose of this report is to present the impact of the spherical geometry on the kink motion in large area Josephson junction. Design/methodology/approach: The effective Lagrangian method is used in order to obtain the dynamics of the sine-Gordon kink on a curved manifold. Findings: The main finding of this article is an effective potential that describes the influence of the curvature on the kink motion in the spherical Josephson junction. Research limitations/implications: The paper is limited to the description of the dynamics of kinks that move with non relativistic speeds in narrow Josephson junctions. Practical implications: It seems that junctions with appropriate geometry will find applications in future electronic devices. It is expected that curved Josephson junctions can be used in order to store a binary data. Originality/value: The main idea of the paper is to use a Riemann geometry in order to describe the influence of the curvature on the kink motion in the spherical junction.
Wydawca
Rocznik
Tom
Strony
111--115
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
autor
- Institute of Physics, Technical University, ul. Podchorążych 2, 30-084 Kraków, Poland, dobrow@ap.krakow.pl
Bibliografia
- [1] B.D. Josephson, Possible new effects in superconductive tunnelling, Physics Letters 1 (1962) 251-253.
- [2] P.W. Anderson, J.M. Rowell, Probable Observation of the Josephson Superconducting Tunnelling Effect, Physical Review Letters 10 (1963) 230-232.
- [3] M.J. Ablowitz, P.A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering, Cambridge University Press, 1999.
- [4] L.A. Ferreira, B. Piette, W.J. Zakrzewski, Wobbles and other kink-breather solutions of the sine-Gordon model, Physical Review E 77 (2008) 036613.
- [5] L.A. Ferreira, B. Piette, W.J. Zakrzewski, Dynamics of the topological structures in inhomogeneous media, Journal of Physics Conference Series 128 (2008) 012027.
- [6] S.H. Lin, J. Pan, Fatigue life prediction for spot welds in coach-peel and lap-shear specimens with consideration of kinked crack behaviour, International Journal of Materials and Product Technology 20 (2004) 31-50.
- [7] C. Hakan Gur, I. Cam, Investigation of as-quenched and tempered commercial steels by Magnetic Barkhausen Nosie method, International Journal of Microstructure and Materials Properties 1 (2006) 208-218.
- [8] S. Tanaka, K. Yasuda, Y. Matsuo, Influence of microstructure on modal work-of-fracture of carbon fibre/pitch-derived carbon composites, International Journal of Materials and Product Technology 16 (2001) 171-179.
- [9] K. Rodak, T. Goryczka, The microstructural characteristics of Al processed using severe plastic deformation procedures, International Journal of Computational Materials Science and Surface Engineering 1 (2007) 585-593.
- [10] J. Hemanth, Effect of microstructure on mechanical behaviour of chilled Pb/Sb/Sn/As Alloy-Al2SiO5 (Kaolinite) metal matrix composites, International Journal of Microstructure and Materials Properties 1 (2005) 74-87.
- [11] T. Dobrowolski, Kink production in the presence of impurities, Physical Review E 65 (2002) 036136.
- [12] T. Dobrowolski, Kink production in the presence of random distributed impurities, Physical Review E 65 (2002) 046133.
- [13] W.H. Zurek, Cosmological experiments in superfluid Helium, Nature 317 (1985) 505-508.
- [14] T. Dobrowolski, Hedgehog production in spatially correlated noise, European Physical Journal B 29 (2002) 269-271.
- [15] A. Maniv, E. Polturak, G Koren, Observation of magnetic flux generated spontaneously during a rapid quench of superconducting films, Physical Review Letters 91 (2003) 197001.
- [16] T. Riste, L. Dobrzyński, Nematic-Isotropic Transition: Thermal Hysteresis and Magnetic Field Effects, Physical Review Letters 74 (1995) 2737-2739.
- [17] M.J. Bowick, L. Chandar, E.A. Schiff, A.M. Srivastava, The cosmological Kibble mechanism in the laboratory: string formation in liquid crystals, Science 263 (1994) 943-945.
- [18] I. Chuang, R. Durrer, N. Turok, B. Yurke, Cosmology in the laboratory: defect dynamics in liquid crystals, Science 251 (1991) 1336-1342.
- [19] C. Kajtoch, C. Kuś, M. Burzyńska, Influence of Sn - substitution on the polar regions in Ba(Ti1-xSnx)O3 Ferroelectrics 140 (1993) 293-297.
- [20] W. Bąk, C. Kajtoch, F. Starzyk, J. Żmija, Evolution of electric polarisation in paraelectric phase of BaTiO3, Archives of Material Science and Engineering 33/2 (2008) 79-82.
- [21] T. Dobrowolski, Kinks of arbitrary width, Physical Review E 66 (2002) 066112.
- [22] P. Tatrocki, T. Dobrowolski, Defect production behind the shock wave front of an inhomogeneous quench, Physical Review E 69 (2004) 016209.
- [23] T. Dobrowolski, Construction of curved domain walls, Physical Review E 77 (2008) 056608.
- [24] T. Dobrowolski, Precise tuning of the kink width in the long Josephson junction, Archives of Materials Science and Engineering 33/2 (2008) 107-110.
- [25] T. Dobrowolski, The dynamics of the kink in the curved, large area, Josephson Junction, Physics Letters A (in print).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL8-0030-0017