PULSEDYN - A dynamical simulation tool for studying strongly nonlinear chains

TL;DR

PULSEDYN is an open-source C++ tool designed for simulating one-dimensional nonlinear many-body systems, making complex dynamical phenomena accessible to non-specialists while ensuring accurate and benchmarked results.

Contribution

The paper introduces PULSEDYN, a user-friendly, open-source simulation tool for nonlinear chains, enabling broad access and reliable benchmarking of complex dynamical phenomena.

Findings

Successfully simulated soliton propagation and collisions in Toda chains.

Reproduced recurrence phenomena and energy equipartition in Fermi-Pasta-Ulam-Tsingou systems.

Modeled wave propagation in chains with Morse and Lennard-Jones potentials.

Abstract

We introduce PULSEDYN, a particle dynamics program in $C++$, to solve many-body nonlinear systems in one dimension. PULSEDYN is designed to make computing accessible to non-specialists in the field of nonlinear dynamics of many-body systems and to ensure transparency and easy benchmarking of numerical results for an integrable model (Toda chain) and three non-integrable models (Fermi-Pasta-Ulam-Tsingou, Morse and Lennard-Jones). To achieve the latter, we have made our code open source and free to distribute. We examine (i) soliton propagation and two-soliton collision in the Toda system, (ii) the recurrence phenomenon in the Fermi-Pasta-Ulam-Tsingou system and the decay of a single localized nonlinear excitation in the same system through quasi-equilibrium to an equipartitioned state, and SW propagation in chains with (iii) Morse and (iv) Lennard-Jones potentials. We recover well known results from theory and other numerical results in the literature. We have obtained these results by setting up a parameter file interface which allows the code to be used as a black box. Therefore, we anticipate that the code would prove useful to students and non-specialists. At the same time, PULSEDYN provides scientifically accurate simulations thus making the study of rich dynamical processes broadly accessible.