\(1/f\) type fluctuations in one-dimensional Lennard-Jones chain (Q1809616)

The authors demonstrate some features of a one-dimensional classical system consisting of particles with nearest-neighbour Lennard-Jones interaction with the help of computer simulations. In and around the transition region from quasiperiodic to stochastic motions \(1/f^\alpha\) \((0< \alpha< 2)\) type fluctuations of the total kinetic energy can be well observed. The authors also study the dependence of the system size on the critical frequency from which the \(1/f^\alpha\) type fluctuations begin to appear. It is shown that nonstationary fluctuations corresponding to the \(1/f^\alpha\) type power spectral density can also be characterized by Allan variance.