Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
Cedric Bernardin (UMPA-ENSL), P. Gon\c{c}alves (CMAT)
TL;DR
This paper proves that energy in a one-dimensional Hamiltonian system with exponential interactions exhibits superdiffusive behavior, with bounds established for this anomalous energy diffusion.
Contribution
It provides rigorous proof of energy superdiffusion in a perturbed Hamiltonian system with exponential interactions, including bounds for the diffusion process.
Findings
Energy superdiffuses in the system
Bounds for the anomalous diffusion are established
The system's behavior differs from classical diffusion models
Abstract
A one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained
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