Biphonons in the beta-Fermi-Pasta-Ulam model
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2006
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Prikaz svih podataka o dokumentuApstrakt
Discrete breathers or intrinsic localized modes are nonlinear localized states that appear in several classical extended systems, such as for instance the Fermi-Paste-Ulam (FPU) model. In order to probe the quantum states that correspond to discrete breathers, we quantize the beta-FPU model using boson quantization rules, retain only number conserving terms, and analyze the two-quanta sector of the model. For both attractive and repulsive nonlinearity, we find the occurrence of biphonons in two forms, on-site and nearest-neighbor site, and analyze their properties. We comment on the use of this model as a minimal model for extended molecular and biomolecular systems. (c) 2006 Elsevier B.V. All rights reserved.
Ključne reči:
Fermi-Pasta-Ulam model / discrete breathers / quantum breathers / biphononsIzvor:
Physica. D: Nonlinear Phenomena, 2006, 216, 1, 200-206Napomena:
- Conference on Nonlinear Physics - Condensed Matter, Dynamical Systems and Biophysics, May 30-31, 2005, Inst Henri Poincare, Paris, France
DOI: 10.1016/j.physd.2005.12.018
ISSN: 0167-2789
WoS: 000237545000020
Scopus: 2-s2.0-33748250686
Institucija/grupa
VinčaTY - JOUR AU - Ivić, Zoran AU - Tsironis, Giorgos P. PY - 2006 UR - https://vinar.vin.bg.ac.rs/handle/123456789/6578 AB - Discrete breathers or intrinsic localized modes are nonlinear localized states that appear in several classical extended systems, such as for instance the Fermi-Paste-Ulam (FPU) model. In order to probe the quantum states that correspond to discrete breathers, we quantize the beta-FPU model using boson quantization rules, retain only number conserving terms, and analyze the two-quanta sector of the model. For both attractive and repulsive nonlinearity, we find the occurrence of biphonons in two forms, on-site and nearest-neighbor site, and analyze their properties. We comment on the use of this model as a minimal model for extended molecular and biomolecular systems. (c) 2006 Elsevier B.V. All rights reserved. T2 - Physica. D: Nonlinear Phenomena T1 - Biphonons in the beta-Fermi-Pasta-Ulam model VL - 216 IS - 1 SP - 200 EP - 206 DO - 10.1016/j.physd.2005.12.018 ER -
@article{ author = "Ivić, Zoran and Tsironis, Giorgos P.", year = "2006", abstract = "Discrete breathers or intrinsic localized modes are nonlinear localized states that appear in several classical extended systems, such as for instance the Fermi-Paste-Ulam (FPU) model. In order to probe the quantum states that correspond to discrete breathers, we quantize the beta-FPU model using boson quantization rules, retain only number conserving terms, and analyze the two-quanta sector of the model. For both attractive and repulsive nonlinearity, we find the occurrence of biphonons in two forms, on-site and nearest-neighbor site, and analyze their properties. We comment on the use of this model as a minimal model for extended molecular and biomolecular systems. (c) 2006 Elsevier B.V. All rights reserved.", journal = "Physica. D: Nonlinear Phenomena", title = "Biphonons in the beta-Fermi-Pasta-Ulam model", volume = "216", number = "1", pages = "200-206", doi = "10.1016/j.physd.2005.12.018" }
Ivić, Z.,& Tsironis, G. P.. (2006). Biphonons in the beta-Fermi-Pasta-Ulam model. in Physica. D: Nonlinear Phenomena, 216(1), 200-206. https://doi.org/10.1016/j.physd.2005.12.018
Ivić Z, Tsironis GP. Biphonons in the beta-Fermi-Pasta-Ulam model. in Physica. D: Nonlinear Phenomena. 2006;216(1):200-206. doi:10.1016/j.physd.2005.12.018 .
Ivić, Zoran, Tsironis, Giorgos P., "Biphonons in the beta-Fermi-Pasta-Ulam model" in Physica. D: Nonlinear Phenomena, 216, no. 1 (2006):200-206, https://doi.org/10.1016/j.physd.2005.12.018 . .