Of Znse <sub> 1-x </ Sub> Of Te <sub> X </ Sub> In The Self-trapped Exciton

We study some classical questions in one or two dimensions nonlinear systems. Firstly, acoustic waves propagation in ID quasi-periodic system is studied by means of the transfer matrix method. The transmission rate, reflection rate, energy flow, logarithmic energy flow, energy density and Lyapunov exponent are obtained numerically .We explain all these parameters' relations with frequency and the size of system, and compare these p arameters with those o f periodic system. We find that these parameters are fractal in this quasi-period system.Secondly, we numerically simulate the turbulence behavior of one-dimension FPU model and obtain probability density functions of the velocity differences in different conditions. We use Tsallis statistics to fit the probability density functionsand find out it was fitted very well. Then, we compare the fit parameters q with Snfor different viscosity parameters and different B, and discuss the results.In the end, we simulate the granular packing in two dimensions system vvitli different boundaries. When the boundary is square, we can find polycrystalline textures with irregular grain boundaries and linear shear fractures. But we also observe the same phenomena when the boundary is circle. So we speculate that the phenomena haven't connection with system's boundary. In "addition, we compute the covering fractions of different systems and analyze the connection between covering fraction and size or boundary of system.