Delocalized nonlinear vibrational modes in fcc metals

Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice

“…By now, DNVMs have been studied in various materials, for example, in nonlinear chains [12,[16][17][18][19], carbyne [13], graphene [15,[20][21][22][23], diamond [14], and face-centered cubic (fcc) and body-centered cubic (bcc) metals [17,[24][25][26][27][28]. DNVMs with frequencies outside the phonon band of the lattice can be used for obtaining new types of DBs by superimposing a localizing function [20,25,[29][30][31][32].…”

“…It has been revealed that DNVMs affect the elastic constants of nonlinear lattices [21,33], and the modulational instability of DNVMs with frequencies outside the phonon band results in the formation of chaotic DBs [29,[34][35][36][37][38][39][40][41][42][43]. Recently, it has been demonstrated that DNVMs can be used to assess the accuracy of interatomic potentials [28].…”

“…In this work, we analyze the effect of the stiffness of interparticle bonds on the DNVMs in an fcc lattice [28]. The classical Morse potential [44,45] is used, which has one essential parameter: the bond stiffness.…”

“…II, including the initial conditions used to excite the one-component DNVMs of the fcc lattice, which were reported in Ref. [28]. Numerical results are presented in Sec.…”

One-component delocalized nonlinear vibrational modes of square lattices

“…In [7][8][9], a method was developed for finding exact delocalized vibrational solutions for nonlinear lattices, based on the analysis of the lattice symmetry. Such solutions were referred to in original papers as bushes of nonlinear normal modes (BNNMs), and in some later studies as delocalized nonlinear vibrational modes (DNVMs) [10][11][12]. In particular, the BNNM theory was used to obtain DBs in a scalar nonlinear square lattice [13].…”