The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Statistical Mechanics of a Discrete Nonlinear System
Abstract
Statistical mechanics of the discrete nonlinear Schrodinger equation is studied by means of analytical and numerical techniques. The lower bound of the Hamiltonian permits the construction of standard Gibbsian equilibrium measures for positive temperatures. Beyond the line of T = infinity, we identify a phase transition through a discontinuity in the partition function. The phase transition is demonstrated to manifest itself in the creation of breatherlike localized excitations. Interrelation between the statistical mechanics and the nonlinear dynamics of the system is explored numerically in both regimes.
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“Except for very specific cases (Rasmussen et al., 2000;Silberberg et al., 2009;Klaers et al., 2010;Hafezi, Adhikari, and Taylor, 2015;Lebreuilly et al., 2017), the resulting state of the light field is thus quite distinct from a thermal equilibrium state.”
From Topological photonics (2019) · cites this paper as Rasmussen et al., 2000
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Cites
Kraichnan, R. H., & Montgomery, D. (1980) · Reports on Progress in Physics · doi:10.1088/0034-4885/43/5/001 · Cited by 1,132
Krumhansl, J. A., & Schrieffer, J. R. (1975) · Physical Review B · doi:10.1103/physrevb.11.3535 · Cited by 1,008
MacKay, R. S., & Aubry, S. (1994) · Nonlinearity · doi:10.1088/0951-7715/7/6/006 · Cited by 990
Statistical Mechanics of One-Dimensional Ginzburg-Landau Fields
Scalapino, D. J., Sears, M., & Ferrell, R. A. (1972) · Physical review. B, Solid state · doi:10.1103/physrevb.6.3409 · Cited by 508
Negative temperature states for the two-dimensional guiding-centre plasma
Joyce, G., & MONTGOMERY, D. C. (1973) · Journal of Plasma Physics · doi:10.1017/s0022377800007686 · Cited by 363
Statistical mechanics of the nonlinear Schr�dinger equation
Lebowitz, J. L., Rose, H. A., & Speer, E. R. (1988) · Journal of Statistical Physics · doi:10.1007/bf01026495 · Cited by 292
Aubry, S. (1975) · The Journal of Chemical Physics · doi:10.1063/1.430872 · Cited by 261
Modulational instability: first step towards energy localization in nonlinear lattices
Daumont, I., Dauxois, T., & Peyrard, M. (1997) · Nonlinearity · doi:10.1088/0951-7715/10/3/003 · Cited by 191
Research works printed but not linked: 3
- E. Fermi, 1974, Lect. Appl. Math., 15, 143
- T. Cretegny, 1998, Physica (Amsterdam), 121D, 109
- T. Dauxois, 1993, Physica (Amsterdam), 66D, 35
Cited by
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Universal Correlations in a Nonlinear Periodic 1D System
Silberberg, Y., Lahini, Y., Bromberg, Y., Small, E., & Morandotti, R. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.233904 · Cited by 36
Metadata
- Authors
- Rasmussen, K. Ø., Cretegny, T., Kevrekidis, P. G., & Grønbech-Jensen, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-04-24
- Volume
- 84
- Issue
- 17
- Pages
- 3740-3743
- ISSN
- 0031-9007
- 1079-7114
- Cited by
- 155
- References
- 8
- Language
- en
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- Rasmussen, K. Ø., Cretegny, T., Kevrekidis, P. G., & Grønbech-Jensen, N. (2000). Statistical Mechanics of a Discrete Nonlinear System. Physical Review Letters. https://doi.org/10.1103/physrevlett.84.3740
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
