"Variability in Fermi–Pasta–Ulam–Tsingou Arrays Can Prevent Recurrences"

A paper of mine came out in final form today. Here are some details.

Title: "Variability in Fermi–Pasta–Ulam–Tsingou Arrays Can Prevent Recurrences"

Authors: Heather Nelson, Mason A. Porter, and Bhaskar Choubey

Abstract: In 1955, Fermi, Pasta, Ulam, and Tsingou reported recurrence over time of energy between modes in a one-dimensional array of nonlinear oscillators. Subsequently, there have been myriad numerical experiments using homogenous FPUT arrays in the form of chains of ideal, nonlinearly coupled oscillators. However, inherent variations (e.g., due to manufacturing tolerance) introduce heterogeneity into the parameters of any physical system. We demonstrate that such tolerances degrade the observance of recurrences, often leading to complete loss in moderately-sized arrays. We numerically simulate heterogeneous FPUT systems to investigate the effects of tolerances on dynamics. Our results illustrate that tolerances in real nonlinear oscillator arrays may limit the applicability of results from numerical experiments on them to physical systems, unless appropriate heterogeneities are taken into account.