Browsing Physics by Subject "Jacobi functions"
Now showing items 1-3 of 3
-
Arrangements of lines of hard and soft spheres in confinement
(Trinity College Dublin. School of Physics. Discipline of Physics, 2024)Chains of particles, ranging from one-dimensional to three-dimensional structures, offer an avenue of research spanning condensed matter physics to microengineering, providing insights into material behaviour across diverse ... -
A continuum description of the buckling of a line of spheres in a transverse harmonic confining potential
(2023)A line of contacting hard spheres, placed in a transverse confining potential, buckles under compression or when tilted away from the horizontal, once a critical tilt angle is exceeded. This interesting nonlinear problem ... -
Description of the buckling of a chain of hard spheres in terms of Jacobi functions
(2022)A linear chain of hard spheres, confined by a transverse harmonic potential, buckles under compression between two hard walls. Jacobi functions provide exact analytic solutions of a differential equation (related to the ...