1 f Type Fluctuations in One-dimensional Lennard–Jones Chain

We report some features found around the stochastic transition from quasiperiodic to stochastic motions in a one-dimensional classical system, consisting of particles with nearest-neighbor Lennard Jones interaction, by computer simulation. In and around the transition region, between regular and stochastic motions, 1 f α (0 a 2) type fluctuations of the total kinetic energy can be well observed, even for the system with a small degree of freedom with an increase of the total energy per one particle, which weakly depends on the number of particles. The system size dependence of the critical frequency from which the 1 f α type fluctuations begin to appear is also investigated. The non-stationary fluctuations corresponding to the 1 f α type power spectral density can be also characterized by Allan variance.