Biphonons in the ß-Fermi-Pasta-Ulam model

Zoran Ivić, G. P. Tsironis

Research output: Contribution to journalArticle

21 Citations (Scopus)

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 ß -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.

Original languageEnglish
Pages (from-to)200-206
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume216
Issue number1 SPEC. ISS.
DOIs
Publication statusPublished - Apr 1 2006
Externally publishedYes

Fingerprint

Discrete Breathers
Intrinsic Localized Modes
Extended Systems
Minimal Model
Quantum State
Bosons
Model
Nearest Neighbor
Quantization
Sector
Probe
Nonlinearity
sectors
bosons
nonlinearity
occurrences
Term
probes
Form

Keywords

  • Biphonons
  • Discrete breathers
  • Fermi-Pasta-Ulam model
  • Quantum breathers

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Biphonons in the ß-Fermi-Pasta-Ulam model. / Ivić, Zoran; Tsironis, G. P.

In: Physica D: Nonlinear Phenomena, Vol. 216, No. 1 SPEC. ISS., 01.04.2006, p. 200-206.

Research output: Contribution to journalArticle

Ivić, Z & Tsironis, GP 2006, 'Biphonons in the ß-Fermi-Pasta-Ulam model', Physica D: Nonlinear Phenomena, vol. 216, no. 1 SPEC. ISS., pp. 200-206. https://doi.org/10.1016/j.physd.2005.12.018
Ivić, Zoran ; Tsironis, G. P. / Biphonons in the ß-Fermi-Pasta-Ulam model. In: Physica D: Nonlinear Phenomena. 2006 ; Vol. 216, No. 1 SPEC. ISS. pp. 200-206.
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