- Access by Xinjiang University
Universality of rescaled curvature distributions
Phys. Rev. E 71, 037201 – Published 18 March, 2005
DOI: https://doi.org/10.1103/PhysRevE.71.037201
Abstract
We applied a recently proposed rescaling of curvatures of eigenvalues of parameter-dependent random matrices to experimental data from acoustic systems and to a theoretical result. It is found that the data from four different experiments, ranging from isotropic plates to anisotropic three-dimensional objects, and the theoretical result always agree with the universal curvature distribution, if only the curvatures are rescaled such that the average of their absolute values is unity.
Article Text
References (21)
- T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998).
- M. L. Mehta, Random Matrices (Academic, Boston, 1991).
- A. Richter, Phys. Scr., T T90, 212, (2001).
- H. J. Stöckmann, Phys. Scr., T T90, 246 (2001).
- C. Ellegaard, K. Schaadt, and P. Bertelsen, Phys. Scr., T T90, 223 (2001).
- K. Schaadt, A. P. B. Tufaile, C. Ellegaard, Phys. Rev. E 67, 026213 (2003).
- M. Wilkinson, J. Phys. A 21, 4021 (1988).
- J. Zakrzewski and D. Delande, Phys. Rev. E 47, 1650 (1993).
- F. von Oppen, Phys. Rev. E 51, 2647 (1995).
- M. S. Hussein, C. P. Malta, M. P. Pato, and A. P. B. Tufaile, Phys. Rev. E 65, 057203 (2002).
- P. Bertelsen, C. Ellegaard, T. Guhr, M. Oxborrow, and K. Schaadt, Phys. Rev. Lett. 83, 2171 (1999).
- B. Li and M. Robnik, J. Phys. A 29, 4387 (1996).
- P. Leboeuf and M. Sieber, Phys. Rev. E 60, 3969 (1999).
- K. Schaadt, M.Sc. thesis, Niels Bohr Institute, Copenhagen, 1997. http://www.nbidk/ ~schaadt/speciale/speciale.ps.gz
- P. Bertelsen, C. Ellegaard, and E. Hugues, Eur. Phys. J. B 15, 87 (2000).
- K. Schaadt and A. Kudrolli, Phys. Rev. E 60, R3479 (1999).
- C. Ellegaard, T. Guhr, K. Lindemann, J. Nygård, and M. Oxborrow, Phys. Rev. Lett. 77, 4918 (1996).
- H. Alt, P. von Brentano, H.-D. Gräf, R.-D. Herzberg, M. Philipp, A. Richter, and P. Schardt, Nucl. Phys. A 560, 293 (1993).
- U. Sivan, Y. Imry, and A. Aronov, Europhys. Lett. 28, 115 (1994).
- G. Ergun and Y. V. Fyodorov, Phys. Rev. E 68, 046124 (2003).
- I. V. Yurkevich and V. E. Kravtsov, Phys. Rev. Lett. 78, 701 (1997).