Abstract:
Weintroduce the notion of wavelet statistical complexity (WSC) and investigate the classical limit of the non-linear dynamics of two interacting harmonic oscillators. It is shown that a rather special relationship between entropy and chaos ensues that, using the WSC tool, sheds some light on the intricacies of the classical-quantum transition. The associated transition region is seen to consists of two sub-zones, each with quite different properties. In one of them, a solid-gas like (smooth) transition seems to take place. © 2003 Elsevier Science B.V. All rights reserved.
Registro:
Documento: |
Artículo
|
Título: | Wavelet statistical complexity analysis of the classical limit |
Autor: | Kowalski, A.M.; Martin, M.T.; Plastino, A.; Proto, A.N.; Rosso, O.A. |
Filiación: | La Plata Physics Institute, National University La Plata, Argentina Natl. Res. Cncl. (CONICET), Casilla de Correo 727, (1900) La Plata, Argentina Departamento de Computación, Facultad de Ingeniería, Universidad de Buenos Aires (UBA), Buenos Aires, Argentina Buenos Aires Sci. Res. Commn. (CIC), Buenos Aires, Argentina Instituto de Cálculo, Fac. de Cie. Exact. y Nat. (UBA), Pabellón 11, Ciudad Universitaria, 1428 Buenos Aires, Argentina
|
Palabras clave: | Quantum chaos; Semi-classical theories; article; chaotic dynamics; entropy; molecular dynamics; nonlinear system; oscillation; oscillator; phase transition; statistical analysis |
Año: | 2003
|
Volumen: | 311
|
Número: | 2-3
|
Página de inicio: | 180
|
Página de fin: | 191
|
DOI: |
http://dx.doi.org/10.1016/S0375-9601(03)00470-5 |
Título revista: | Physics Letters, Section A: General, Atomic and Solid State Physics
|
Título revista abreviado: | Phys Lett Sect A Gen At Solid State Phys
|
ISSN: | 03759601
|
CODEN: | PYLAA
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v311_n2-3_p180_Kowalski |
Referencias:
- note; Bhattacharya, T., Habib, S., Jacobs, K., (2000) Phys. Rev. Lett., 85, p. 4852
- Kowalski, A.M., Martin, M.T., Nuñez, J., Plastino, A., Proto, A.N., (2000) Physica A, 276, p. 95
- Kowalski, A.M., Martin, M.T., Nuñez, J., Plastino, A., Proto, A.N., (1998) Phys. Rev. A, 58, p. 2596
- Kowalski, A.M., Plastino, A., Proto, A.N., (2002) Phys. Lett. A, 297, p. 162
- Kowalski, A.M., Plastino, A., Proto, A.N., (1994) Phys. Lett. A, 187, p. 220
- Kowalski, A.M., Plastino, A., Proto, A.N., (1995) Phys. Rev. E, 52, p. 165
- Habib, S., Shizume, K., Zurek, W.H., (1998) Phys. Rev. Lett., 80, p. 4361
- Sakurai, J.J., (1999) Modern Quantum Mechanics, , Addison-Wesley, New York
- Habib, S., Jacobs, K., Mabuchi, H., Ryne, R., Shizume, K., Sundaram, B., (2002) Phys. Rev. Lett., 88, p. 040402
- Proto, A.N., (1990) Condensed Matter Theories, 5. , V.C. Aguilera-Navarro (Ed.), Plenum, New York
- Plastino, A., Proto, A.N., Sarris, C., (1997) Physica A, 241, p. 649
- Kowalski, A.M., Plastino, A., Proto, A.N., (1994) Phys. Lett. A, 187, p. 220. , and references therein
- Duering, E., Otero, D., Plastino, A., Proto, A.N., (1987) Phys. Rev. A, 35, p. 2314
- Cooper, F., Dawson, J.F., Meredith, D., Shepard, H., (1994) Phys. Rev. Lett., 72, p. 1337
- Cooper, F., Habib, S., Kluger, Y., Mottola, E., (1997) Phys. Rev. D, 55, p. 6471
- Cooper, F., Dawson, J., Habib, S., Ryne, R.D., (1998) Phys. Rev. E, 57, p. 1489
- Shiner, J.S., Davison, M., Landsberg, P.T., (1999) Phys. Rev. E, 59, p. 1459
- López-Ruiz, R., Mancini, H.L., Calbet, X., (1995) Phys. Lett. A, 209, p. 321
- Calbet, X., López-Ruiz, R., (2001) Phys. Rev. E, 63, p. 066116
- Anteneodo, C., Plastino, A.R., (1996) Phys. Lett. A, 223, p. 348
- Scalapino, D.J., (1993) Physics and Probability. Essays in Honor of Edwin T. Jaynes, , W.T. Grandy Jr., P.W. Milonni (Eds.), Cambridge Univ. Press, New York, and references therein
- Silver, R.N., (1993) Physics and Probability. Essays in Honor of Edwin T. Jaynes, , W.T. Grandy Jr., P.W. Milonni (Eds.), Cambridge Univ. Press, New York, and references therein
- Shannon, C.E., (1948) Bell Syst. Tech. J., 27, p. 379
- Shannon, C.E., (1948) Bell Syst. Tech. J., 27, p. 623
- Cover, T.M., Thomas, J.A., (1991) Elements of Information Theory, , Wiley, New York
- Kolmogorov, A.N., (1958) Dokl. Akad. Nauk SSSR, 119, p. 861
- Sinai, J.G., (1959) Dokl. Akad. Nauk SSSR, 124, p. 768
- Beck, C., Schlögl, F., (1993) Thermodynamic of Chaotic Systems, , Cambridge Univ. Press, New York
- Huberman, B.A., Hogg, T., (1986) Physica D, 22, p. 376
- Grassberger, P., (1986) Int. J. Theor. Phys., 25, p. 907
- Crutchfield, J.P., (1989) Phys. Rev. Lett., 63, p. 105
- Feldman, D.P., Crutchfield, J.P., (1998) Phys. Lett. A, 238, p. 244
- Blanco, S., Figliola, A., Quian Quiroga, R., Rosso, O.A., Serrano, E., (1998) Phys. Rev. E, 57, p. 932
- Gamero, L., Plastino, A., Torres, M.E., (1997) Physica A, 246, p. 487
- Chui, C.K., (1992) An Introduction to Wavelets, , Academic Press, New York
- R.F. Werner, quant-ph/9504016; Haken, H., (2000) Information and Self-Organization, 2nd Edition, , Springer-Verlag, Berlin
Citas:
---------- APA ----------
Kowalski, A.M., Martin, M.T., Plastino, A., Proto, A.N. & Rosso, O.A.
(2003)
. Wavelet statistical complexity analysis of the classical limit. Physics Letters, Section A: General, Atomic and Solid State Physics, 311(2-3), 180-191.
http://dx.doi.org/10.1016/S0375-9601(03)00470-5---------- CHICAGO ----------
Kowalski, A.M., Martin, M.T., Plastino, A., Proto, A.N., Rosso, O.A.
"Wavelet statistical complexity analysis of the classical limit"
. Physics Letters, Section A: General, Atomic and Solid State Physics 311, no. 2-3
(2003) : 180-191.
http://dx.doi.org/10.1016/S0375-9601(03)00470-5---------- MLA ----------
Kowalski, A.M., Martin, M.T., Plastino, A., Proto, A.N., Rosso, O.A.
"Wavelet statistical complexity analysis of the classical limit"
. Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 311, no. 2-3, 2003, pp. 180-191.
http://dx.doi.org/10.1016/S0375-9601(03)00470-5---------- VANCOUVER ----------
Kowalski, A.M., Martin, M.T., Plastino, A., Proto, A.N., Rosso, O.A. Wavelet statistical complexity analysis of the classical limit. Phys Lett Sect A Gen At Solid State Phys. 2003;311(2-3):180-191.
http://dx.doi.org/10.1016/S0375-9601(03)00470-5