A Non-linear Reaction-Diffusion System in Propagating Diffusive Wave in Nitroguanidine (NQ) Lens Using Ising-Bloch Bifurcation

TL;DR

This paper models wave propagation in a nitroguanidine lens using a nonlinear reaction-diffusion system based on Ising-Bloch bifurcation, revealing wave splitting phenomena influenced by defects and diffusion parameters.

Contribution

It introduces a novel nonlinear reaction-diffusion model incorporating Ising-Bloch bifurcation and decomposition kinetics for wave propagation in energetic materials.

Findings

Wave splitting occurs at specific diffusivity ratios.

Defects in the lens influence wave behavior.

The model integrates nonlinear diffusion with kinetic decomposition.

Abstract

A wave front propagating through a medium is described using the Ising--Bloch method The reaction-diffusion behaviour of an autocatalysis model of incoming waves from energetic material in a nitroguanidine lens and its interactions with Dirichlet boundaries system are examined. Wave splitting is found to occur for some relative diffusivities through introducing defects into the lens. The system is introduced using a nonlinear method with a Boltzmann--Gibbs distribution of diffusion parameters and forced into a right-hand-side divergence for final analysis. Considering the nonlinearity, the model is expanded by introducing the decomposition kinetics into the set of equations developed.