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Updated: Jul 5, 2026
09:39
A Microfluidic Model of Biomimetically Breathing Pulmonary Acinar Airways
Published on: May 9, 2016
Discrete breathers in dissipative lattices.
J L Marín1, F Falo, P J Martínez
1Departamento de Física de la Materia Condensada, Universidad de Zaragoza, 50009 Zaragoza, Spain.
Summary
Discrete breathers, or intrinsic localized modes, are robust in the Frenkel-Kontorova lattice. Moving breathers exist even at high discreteness and form bound states via phonon tail interactions.
Area of Science:
- Nonlinear dynamics
- Condensed matter physics
- Statistical mechanics
Background:
- Discrete breathers (intrinsic localized modes) are localized nonlinear excitations.
- The Frenkel-Kontorova model describes interacting particles on a substrate.
- Understanding breather behavior in damped, driven systems is crucial.
Purpose of the Study:
- Investigate discrete breather properties in a damped, driven Frenkel-Kontorova lattice.
- Analyze bifurcations and mobility of breathers across varying coupling strengths.
- Characterize breather interactions and robustness.
Main Methods:
- Numerical simulations of the Frenkel-Kontorova model.
- Floquet spectral analysis for bifurcation characterization.
- Analysis of phonon radiation and breather interactions.
Main Results:
- Identified symmetry-breaking bifurcations leading to breather mobility.
- Demonstrated existence of moving breathers at high discreteness levels.
- Observed formation of "bound states" of moving breathers through phonon tail interactions.
- Confirmed robustness of stationary and moving breathers against thermal fluctuations.
Conclusions:
- Discrete breathers are generic and robust localized states in the studied system.
- Breather mobility is linked to symmetry-breaking bifurcations.
- Phonon radiation mediates breather interactions, enabling bound state formation.
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