Periodic Perturbations and Asymptotic Behaviour of the Read–Shockley Interaction Energy

Title

Periodic Perturbations and Asymptotic Behaviour of the Read–Shockley Interaction Energy

Subject

Mathematics

Creator

Chung Kiu Curtis Chiu

Contributor

Florian Theil

Abstract

We study how periodic perturbations affect the Read–Shockley interaction energy. Using Fourier analysis, we shown that for a mean-zero, C^2 perturbation, the energy of the equally spaced configuration retains the leading term as -Nlog N.

Meta Tags

Read-shockley, interaction energy, dislocation, material science

Files

Citation

Chung Chiu, “Periodic Perturbations and Asymptotic Behaviour of the Read–Shockley Interaction Energy,” URSS SHOWCASE, accessed October 9, 2026, https://urss.warwick.ac.uk/items/show/1086.