Discrete breathers in thermal equilibrium: distributions and energy gaps

2004/09/17 by Maria Eleftheriou, M. Eleftheriou, Sergej Flach · 2 citations
Computer Science · Physics and Astronomy · #Advanced Fiber Laser Technologies #Breather #Computer science #Lattice (music) #Measure (data warehouse) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum mechanics #Statistical physics #Thermal #Thermal equilibrium #Thermodynamic equilibrium #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physd.2005.02.002

20 pages, 14 figures

arxiv created 2004/09/17 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study a discrete two-dimensional nonlinear system that allows for discrete breather solutions. We perform a spectral analysis of the lattice dynamics at thermal equilibrium and use a cooling technique to measure the amount of breathers at thermal equilibrium. Our results confirm the existence of an energy threshold for discrete breathers. The cooling method provides with a novel computational technique of measuring and analyzing discrete breather distribution properties in thermal equilibrium.

Citations

• Fathul qodir : al-jami? baina fann al-riwayah wal-diroyah min ilmi al-tafsir, al-juz al-awwal / Al-Syaukani, Muhammad bin Ali bin Muhammad
• Energy Thresholds for Discrete Breathers in One-, Two-, and Three-Dimensional Lattices
• Localized excitations in two-dimensional Hamiltonian lattices
• Dynamics and thermodynamics of a nonlinear model for DNA denaturation
• Wave scattering by discrete breathers
• Statistical Mechanics of a Discrete Nonlinear System
• Energy relaxation in nonlinear one-dimensional lattices
• Discrete breathers

Cited by

• Renormalized Waves and Discrete Breathers inβ-Fermi-Pasta-Ulam Chains
• Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes