Design of energy absorbing metamaterials using stochastic soft-wall billiards

TL;DR

This paper explores the design of energy absorbing metamaterials using stochastic billiards by analyzing wave evolution in a lattice of 3D potential wells with embedded particles, revealing how wave destruction and energy flow can be controlled.

Contribution

It introduces a novel approach to designing energy absorbing metamaterials through stochastic billiards in a lattice of 3D potential wells with embedded particles, extending previous planar models.

Findings

Increasing particle mass destroys propagating waves.

Certain container shapes enable quasi-one-directional energy flow.

Lattice temperature influences wave dynamics and energy transfer.

Abstract

Physical principles for designing artificial materials with energy absorbing and wave guiding properties are discussed in the present work. The idea is to insert light particles in a lattice of elastically coupled potential wells representing soft-wall versions of the so-called stochastic billiards. A planar case of a single potential well attached to the base with a linearly elastic spring and including one or few small particles was considered earlier. Here, we analyze the evolution of waves in a one-dimensional lattice of 3D potential wells with light particles inside. By assigning the initial conditions corresponding to propagating waves we found that the waves can be quickly destroyed by increasing the mass of particles while certain shapes of the potential containers provide a quasi-one-directional energy flow from the chain of containers into the chaotically moving particles by increasing the temperature of the lattice.