The notion of persistence applied to breathers in thermal equilibrium

摘要: Abstract We study the thermal equilibrium of nonlinear Klein–Gordon chains at limit small coupling (anticontinuum limit). show that persistence distribution associated to local energy density is a useful tool statistical so-called breathers, mainly when characterized by long-lived pinned excitations; in case, intervals turns out be power law. demonstrate also this generic behaviour has counterpart spectra, where high-frequencies domains nicely collapse if properly rescaled. These results are compared with soft nonlinearity, for which breathers rather mobile entities. Finally, we discuss possibility breather-induced anomalous diffusion law, and despite strong slowing down diffusion, there numerical evidences normal asymptotic mechanism, but exceptionally coefficients.