Fractal entropy of a chain of nonlinear oscillators

TL;DR

This paper investigates the fractal properties of spectral entropy in a nonlinear oscillator chain, revealing a Brownian motion behavior with a power-law relation to coupling strength, and characterizing intermediate timescales.

Contribution

It introduces a novel analysis of fractal spectral entropy in nonlinear chains, identifying a Brownian motion pattern and deriving an analytic power-law dependence on coupling.

Findings

Spectral entropy exhibits fractal features with intermediate timescales.

Brownian motion behavior is observed in the spectral entropy dynamics.

Diffusion coefficient follows a power-law dependence on nonlinear coupling.

Abstract

We study the time evolution of a chain of nonlinear oscillators. We focus on the fractal features of the spectral entropy and analyze its characteristic intermediate timescales as a function of the nonlinear coupling. A Brownian motion is recognized, with an analytic power-law dependence of its diffusion coefficient on the coupling.