Abstract
One-dimensional anharmonic lattices with quadratic as well as quartic potentials between nearest neighbors are treated on computer to see the long-time behaviors of the vibration. As is the case of two-dimensional lattice, the induction period is found to exist and its length increases on decreasing the anharmonic coupling constant. The possible existence of the critical value of the anharmonic coupling constant is surmised, below which the system is almost periodic. Above this critical value, the system tends to reach a thermal equilibrium, which is confirmed by the long-time averages of the squares of the velocities and by the products of velocities of different particles. The significance of the errors introduced during computation for the ergodic property of the system is pointed out.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
