Non-linear model of impurity diffusion in nanoporous materials upon ultrasonic treatment

TL;DR

This paper develops a non-linear diffusion model for impurities in nanoporous materials under ultrasonic treatment, revealing conditions for vacancy clustering and increased diffusion rates at specific temperatures.

Contribution

It introduces a novel non-linear theoretical framework describing impurity diffusion and vacancy clustering in porous materials subjected to ultrasound.

Findings

Vacancy nanoclusters form at specific ultrasonic amplitudes.

Diffusion coefficient significantly increases below a critical temperature.

Ultrasound induces periodic vacancy structures in porous materials.

Abstract

Non-linear theory of diffusion of impurities in porous materials upon ultrasonic treatment is described. It is shown that at a defined value of deformation amplitude, an average concentration of vacancies and temperature as a result of the effect of ultrasound possibly leads to the formation of nanoclusters of vacancies and to their periodic educations in porous materials. It is shown that at a temperature smaller than some critical value, a significant growth of a diffusion coefficient is observed in porous materials.