Energy Transports in Toda Lattices with Quasiperiodic On-site Potentials

Zhenjun Zhang, Jing Kang, Chunmei Tang, S.A. Hamouda, M. Mirzaei, Z. Yu
2016 MATEC Web of Conferences  
We study numerically the process of energy transports in Toda lattices with quasiperiodic on-site potentials. The total energy was initially equidistributed the 10% of lowest frequency linear modes. For Toda model without on-site potentials, only several new low frequency modes are excited, but the energy equipartition is not achieved. When the quasiperiodic on-site potentials are added, the energy transfers continuously to the high frequency modes and finally evolves towards energy
more » ... n. We further study the equipartition time T eq as a function of energy density ѓ for different nonlinear parameters Į and different strengths of on-site potentials į. In the thermodynamic limit, the dependence of T eq on ѓ is found to display a power law behaviour, that is, a eq T H v . The exponenet a is found to be -2.03 and is independent of the values of Į and į.
doi:10.1051/matecconf/20166101011 fatcat:tgk3bbkq5fbxvl7l4n7zt6cd3e