Dynamics of axial channeling in quasicrystals: An averaging-theory approach

DOI10.1063/1.533413zbMath0977.82051OpenAlexW2003231052MaRDI QIDQ2738116

Albert W. Sáenz

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533413

zbMATH Keywords

first-order averagingHamiltonian theory of nonrelativistic axial channelingpositively charged particlessimply decorated icosahedral quasicrystalssingle-phase first-order averagingtheorem of Besjes

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Averaging method for ordinary differential equations (34C29) Motion of charged particles (78A35) Irregularities of distribution, discrepancy (11K38) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items

Proof of the existence of the axial-to-planar channeling transition in a simple crystal model ⋮ A mathematical theory of planar particle channeling in crystals

Cites Work

• Improved N-th order averaging theory for periodic systems
• Axial channeling in perfect crystals, the continuum model, and the method of averaging
• The diffraction pattern of projected structures
• Higher-order averaging for nonperiodic systems

This page was built for publication: Dynamics of axial channeling in quasicrystals: An averaging-theory approach