Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions

We consider one-dimensional infinite chains of harmonic oscillators with random exchanges of momenta and long-range interaction potentials which have polynomial decay rate $|x|^{-\theta}, x \to \infty, \theta > 1$ where $x \in \mathbb{Z}$ is the interaction range. The dynamics conserve total mome...

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Bibliographic details
Main Author: Suda, Hayate
Format: Journal Article
Language: English
Place of publication: 04.02.2021
Data of publication: 2021-02-04
Online Access: Fulltext
Database: arXiv Mathematics
arXiv.org
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