Abstract.
The presence of experimental noise may greatly reduce the accuracy of experimentally determined growth and roughness exponents, which characterize a growing self-affine interface. A separate determination of the experimental noise enables a straightforward correction, which we demonstrate on experiments on the roughening of magnetic flux profiles in the critical state of YBa2Cu3O7-x thin films. After noise correction, we find that the magnetic field profile is characterized by a roughness exponent \(\alpha = 0.75(6)\). The growth exponent of the profiles is \(\beta = 0.7(1)\).
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T. Vicsek, M. Cserző, V.K. Horváth, Physica A 167, 315 (1990)
S. He, G.L.M.K.S. Kahanda, P. Wong, Phys. Rev. Lett. 69, 3731 (1992)
M.A. Rubio, C.A. Edwards, A. Dougherty, J.P. Gollub, Phys. Rev. Lett. 63, 1685 (1989)
V.K. Horváth, F. Family, T. Vicsek, J. Phys. A 24, 25 (1991)
J. Kertész, V.K. Horváth, F. Weber, Fractals 1, 67 (1992)
J. Zhang, Y.-C. Zhang, P. Alstr\(\o\)m, M.T. Levinsen, Physica A 189, 383 (1992)
M. Myllys, J. Maunuksela, M.J. Alava, T. Ala-Nissila, J. Timonen, Phys. Rev. Lett. 84, 1946 (2000)
M. Myllys, J. Maunuksela, M. Alava, T. Ala-Nissila, J. Merikoski, J. Timonen, Phys. Rev. E 64, 36101 (2001)
A. Czirók, E. Somfai, T. Vicsek, Phys. Rev. Lett. 71, 2154 (1993)
A. Malthe-Sørenssen, J. Feder, K. Christensen, V. Frette, T. Jøssang, Phys. Rev. Lett. 83, 764 (1999)
C.M. Aegerter, R. Günther, R.J. Wijngaarden, Phys. Rev. E 67, 51306 (2003)
E. Moro, Phys. Rev. Lett. 87, 238303 (2001)
J. Kertész, D.E. Wolf, J. Phys. A 21, 747 (1988)
A.-L. Barabási, H.E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, 1995)
L.A. Dorosinskii, M.V. Indenbom, V.I. Nikitenko, Y.A. Ossipyan, A.A. Polyanskii, V.K. Vlasko-Vlaskov, Physica C 203, 149 (1992)
J.M. Huijbregtse, B. Dam, J.H. Rector, R. Griessen, J. Appl. Phys. 86, 6528 (1999)
R.J. Wijngaarden, K. Heeck, M. Welling, R. Limburg, M. Pannetier, K. van Zetten, V.L.G. Roorda, A.R. Voorwinden, Rev. Sci. Instrum. 72, 2661 (2001)
M.S. Welling, C.M. Aegerter, R.J. Wijngaarden, Europhys. Lett. 61, 473 (2003)
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Received: 9 February 2004, Published online: 20 April 2004
PACS:
05.65. + b Self-organized systems - 45.70.-n Granular systems
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Welling, M.S., Aegerter, C.M. & Wijngaarden, R.J. Noise correction for roughening analysis of magnetic flux profiles in YBa\(_\mathsf{2}\)Cu\(_\mathsf{3}\)O\(_\mathsf{7-x}\) . Eur. Phys. J. B 38, 93–98 (2004). https://doi.org/10.1140/epjb/e2004-00103-4
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DOI: https://doi.org/10.1140/epjb/e2004-00103-4