Energy relaxation in Fermi–Pasta–Ulam arrays

2001/09/20 by R. Reigada, A. Sarmiento, Katja Lindenberg · 17 citations
Materials Science · Physics and Astronomy · #Breather #Energy (signal processing) #Focus (optics) #Harmonic #Nonlinear Photonic Systems #Nonlinear system #Nonlocal and gradient elasticity in micro/nano structures #Quantum Mechanics and Non-Hermitian Physics #Relaxation (psychology) #cond-mat.stat-mech #nlin.PS

paper · pdf · doi:10.1016/s0378-4371(01)00573-8

published in Physica A Statistical Mechanics and its Applications 305(3-4), 467-485 (Elsevier BV)

arxiv created 2001/09/20 · openalex publication_date 2002/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The dynamics of energy relaxation in thermalized one- and two-dimensional arrays with nonlinear interactions depend in detail on the interactions and, in some cases, on dimensionality. We describe and explain these differences for arrays of the Fermi-Pasta-Ulam type. In particular, we focus on the roles of harmonic contributions to the interactions and of breathers in the relaxation process.

Citations

• Optical creation of vibrational intrinsic localized modes in anharmonic lattices with realistic interatomic potentials
• Thermal resonance in signal transmission
• The random walk's guide to anomalous diffusion: a fractional dynamics approach

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