The effect of lattice reordering on recurrence in disordered Fermi-Pasta-Ulam-Tsingou-α system

We study the behavior of disordered Fermi-Pasta-Ulam-Tsingou (FPUT) lattices under fixed boundary conditions, focusing on the breakdown of the well-known recurrence phenomenon. We demonstrate that this breakdown can be mitigated by reordering the lattice elements based on their tolerance values. Two reordering strategies are explored: arranging the lattices in ascending order and in a centrosymmetric order. At a fixed energy level, both approaches successfully restore recurrence for small tolerance values. However, when the tolerance values become large, these arrangements have a limited effect in preventing the breakdown of recurrence.