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

✍ Scribed by Tsuneyasu Okabe; Hiroaki Yamada

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 480 KB
• Volume: 9
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(98)00003-4

✦ Synopsis

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 LennardÐJones interaction\ by computer simulation[ In and around the transition region\ between regular and stochastic motions\ 0:f a "9 ³ a ³ 1# type ~uctuations 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 0:f a type ~uctuations begin to appear is also investigated[ The non!stationary ~uctuations corresponding to the 0:f a type power spectral density can be also characterized by Allan variance[ Þ 0887 Elsevier Science Ltd[ All rights reserved