Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes

Abstract

So far, only the energy thresholds of single discrete breathers in nonlinear Hamiltonian systems have been analytically obtained. In this work, the energy thresholds of discrete breathers in thermal equilibrium and the energy thresholds of long-lived discrete breathers which can remain after a long time relaxation are analytically estimated for nonlinear chains. These energy thresholds are size dependent. The energy thresholds of discrete breathers in thermal equilibrium are same as the previous analytical results for single discrete breathers. The energy thresholds of long-lived discrete breathers in relaxation processes are different from the previous results for single discrete breathers but agree well with the published numerical results known to us. Because real systems are either in thermal equilibrium or in relaxation processes, the obtained results could be important for experimental detection of discrete breathers.

26 pages, 0 figures

References in corpus (7)

• Intrinsic Localized Modes Observed in the High Temperature Vibrational Spectrum of NaI
• Experimental Generation of Intrinsic Localized Modes in a discrete electrical transmission line
• Controlled switching of intrinsic localized modes in a 1-D antiferromagnet
• Driven localized excitations in the acoustic spectrum of small nonlinear macroscopic and microscopic lattices
• Slow energy relaxation of macromolecules and nano-clusters in solution
• Solitary magnons in the $S=\frac{5}{2}$ antiferromagnet CaFe${}_2$O${}_4$
• Dimension dependent energy thresholds for discrete breathers

Cited by in corpus (4)

• Effect of discrete breathers on the specific heat of a nonlinear chain
• Wavelet imaging of transient energy localization in nonlinear systems at thermal equilibrium: the case study of NaI crystals at high temperature
• Solitons as candidates for energy carriers in Fermi-Pasta-Ulam lattices
• Nonlinear dynamics determines the thermodynamic instability of condensed matter in vacuo