Energy Transports in Toda Lattices with Quasiperiodic On-site Potentials
College of Science, Hohai University, 210098 Nanjing, Jiangsu, People’s Republic of China
a Corresponding author: email@example.com
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 equipartition. We further study the equipartition time Teq as a function of energy density ε for different nonlinear parameters α and different strengths of on-site potentials δ. In the thermodynamic limit, the dependence of Teq on ε is found to display a power law behaviour, that is, Teq ∝ εa. The exponenet a is found to be -2.03 and is independent of the values of α and δ.
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