| Issue |
Europhys. Lett.
Volume 61, Number 4, February 2003
|
|
|---|---|---|
| Page(s) | 473 - 479 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-00153-2 | |
| Published online | 01 February 2003 | |
Structural similarity between the magnetic-flux profile in superconductors and the surface of a 2d rice pile
Division of Physics and Astronomy, Vrije Universiteit De Boelelaan 1081, 1081HV Amsterdam, The Netherlands
Received:
31
May
2002
Accepted:
4
December
2002
We analyze the magnetic-flux profile in the critical state of an
thin film. It is found that the profile
forms a self-affine structure in both space and time. Furthermore,
the surface of a pile of rice is studied, which also shows a
self-affine structure. These experimental results are compared to
simulations of a two-dimensional version of the Oslo model for
sandpiles. The exponents characterizing the roughness and dynamics
of the profiles for both experimental systems agree with each
other, the values being 
for the roughness
exponents and 
for the growth exponents. These
values are reproduced in the simulations as well. This shows that
a simple sandpile model can be used to describe the shape and
dynamics of the vortex landscape in the critical state.
Conversely, superconductors may be used as a model granular
system.
PACS: 05.65.+b – Self-organized systems / 45.70.Vn – Granular models of complex systems; traffic flow / 74.60.Ge – Flux pinning, flux creep, and flux-line lattice dynamics
© EDP Sciences, 2003
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