Discrete breathers in anharmonic models with acoustic phonons
Annales de l'I.H.P. Physique théorique (1998)
- Volume: 68, Issue: 4, page 381-420
- ISSN: 0246-0211
Access Full Article
topHow to cite
topAubry, Serge. "Discrete breathers in anharmonic models with acoustic phonons." Annales de l'I.H.P. Physique théorique 68.4 (1998): 381-420. <http://eudml.org/doc/76790>.
@article{Aubry1998,
author = {Aubry, Serge},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {anticontinuous limit; FPU chains; sound velocities in crystal; existence of breathers; piezoactive breathers; nonpiezoactive breathers},
language = {eng},
number = {4},
pages = {381-420},
publisher = {Gauthier-Villars},
title = {Discrete breathers in anharmonic models with acoustic phonons},
url = {http://eudml.org/doc/76790},
volume = {68},
year = {1998},
}
TY - JOUR
AU - Aubry, Serge
TI - Discrete breathers in anharmonic models with acoustic phonons
JO - Annales de l'I.H.P. Physique théorique
PY - 1998
PB - Gauthier-Villars
VL - 68
IS - 4
SP - 381
EP - 420
LA - eng
KW - anticontinuous limit; FPU chains; sound velocities in crystal; existence of breathers; piezoactive breathers; nonpiezoactive breathers
UR - http://eudml.org/doc/76790
ER -
References
top- [1] A.J. Sievers and S. Takeno, Phys. Rev. Letts., Vol. 61, 1988, p. 970.
- [2] S. Flach, and C.R. Willis, Phys. Rep., Vol. 295, 1998. MR1607320
- [3] R.S. Mackay and S. Aubry, Nonlinearity, Vol. 7, 1994, pp. 1623-1643. Zbl0811.70017MR1304442
- [4] S. Aubry and G. Abramovici, Physica, Vol. 43D, 1990, pp. 199-219. MR1067910
- [5] S. Aubry, Physica, Vol. 71D, 1994, pp. 196-221. MR1264115
- [6] S. Aubry, Physica, 103D, 1997, pp. 201-250. MR1464249
- [7] R.S. Mackay and J.-A. Sepulchre, Physica, 82D, 1995, pp. 243-254. Zbl0891.34060MR1326557
- [8] J.-A. Sepulchre and R.S. Mackay, Nonlinearity, Vol. 10, 1997, pp. 1-35. MR1448582
- [9] J.-L. Mariñ and S. Aubry, Nonlinearity, Vol. 9, 1996, pp. 1501-1528. Zbl0926.70028MR1419458
- [10] R. Livi, M. Spicci and R.S. Mackay, Nonlinearity, Vol. 10, 1997, pp. 1421-1434. Zbl0917.70022MR1483550
- [11] R.S. Mackay, communication at workshop, Discrete Breathers held in Dresden, Apr. 7-11, 1997.
- [12] K. Forinash, T. Cretegny and M. Peyrard, Phys. Rev., Vol. E55, 1997, p. 4740.
- [13] J. Dieudonné, Fondation of Modern Analysis, Academic Press, 1969. Zbl0176.00502MR349288
- [14] V.I. Arnol'd and A. Avez, Ergodic Problems of Classical Mechanics, W. A. Benjamin Inc., 1968. Zbl0167.22901MR232910
- [15] S. Aubry, in preparation.
- [16] J.L. Mariñ and S. Aubry, Finite Size Effects on Instabilities of Discrete Breathers, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997). Zbl0942.37050
- [17] C. Baesens, S. Kim and R. Mackay, Localized Modes on Coherent structures, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997).
- [18] T. Cretegny and S. Aubry, Phys. Rev., B55, 1997, R 11929-32.
- [19] G. Tsironis, Private communication.
- [20] T. Cretegny and S. Aubry, 1D Phonon Scattering by Discrete Breathers, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997).
- [21] S. Aubry and T. Cretegny, Mobility and Reactivity of Discrete Breathers, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997). Zbl1030.34501MR1644681
- [22] Persistent Spectral Hole-Burning: Science and Applications, Ed. W. E. Moerner, Springer-Verlag, Berlin, 1988.
- [23] B.P. Barber, R.A. Hiller, R. Loefstedt, S.J. Putterman, K.R. Weninger, Defining the unknown of Sonoluminescence, Physics Reports, 281, vol. 2, 1997.
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.