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Condensed Matter > Statistical Mechanics

arXiv:2411.06044 (cond-mat)
[Submitted on 9 Nov 2024]

Title:Thermal lifetime of breathers

Authors:Juan F. R. Archilla, Jānis Bajārs, Sergej Flach
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Abstract:In this article, we explore the lifetime of localized excitations in nonlinear lattices, called breathers, when a thermalized lattice is perturbed with localized energy delivered to a single site. We develop a method to measure the time it takes for the system to approach equilibrium based on a single scalar quantity, the participation number, and deduce the value corresponding to thermal equilibrium. We observe the time to achieve thermalization as a function of the energy of the excited site. We explore a variety of different physical system models. The result is that the lifetime of breathers increases exponentially with the breather energy for all the systems. These results may provide a method to detect the existence of breathers in real systems.
Comments: 24 pages, 14 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2411.06044 [cond-mat.stat-mech]
  (or arXiv:2411.06044v1 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.2411.06044

Submission history

From: Juan F. R. Archilla [view email]
[v1] Sat, 9 Nov 2024 02:47:18 UTC (2,492 KB)
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