In lattices where atoms are bound by the neighboring atoms and forces, the study of lattice vibrations can reveal information about the material’s properties. In this project, we will study the vibrational modes of a 1D lattice of RK4
time stepping and FFT
analysis, we explore the vibrational modes arising from various initial conditions and boundary constraints. Noteworthy observations include the manifestation of expected normal modes under specific perturbations and the implications of symmetric and random perturbations on mode development. Furthermore, the study underscores the method’s adaptability, paving the way for effortless exploration of diverse conditions and dimensions in lattice dynamics simulations.
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