2021/02/17 by A. V. Romanova, Romanova, A. V., Semyon Rudyi +3
Engineering · Materials Science · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Material Properties and Applications #Material Science and Thermodynamics
paper · pdf · doi:10.48550/arxiv.2102.08912
openalex publication_date 2021/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present work suggests rigorous criteria to determine phase transitions in Coulomb crystals in a linear ion trap. The proposed method is based on the analysis of a cross size ρi and relative polar angle between neighboring particles Δϕi as functions of the system parameters such as number of ions, mass and charge of ions, and trap geometry. The analytical interpretation of the phase transitions relies on the analysis of the cross size ρ and a metric Φ dependent on the norm of the vector ||Δϕ||. We further demonstrate an analysis procedure for the numerical determination of extremes of interpolated functions ρ and Φ. 1D-2D and 2D-3D phase transitions points are defined as points of the greatest growth of functions ρ and Φ, respectively.