Analysis Of Oscillation Time Series And Study On Correlation Of Quasi-fluid State In Solid

Solid quasi-fluid state, which is similar to liquid and exists in surface and interior of solid, is a new kind of state besides gas, liquid, solid and liquid crystal. When the external condition reaches the critical value, the phenomenon will appear in solids. Solid quasi-fluid state phenomenon show itself as oscillation patterns changing with time under metalloscope. The oscillation patterns have characters like liquid-similarity, randomicity and fractal. In this paper, according to the predecessors'studies, the chaotic dynamics of the quasi-fluid cell oscillation time series in solid is analyzed. The dynamical system phase space is reconstructed; the system parameters are calculated, such as fractal dimensions, Lyapunov exponents and Hurst exponent. The results proved that the quasi-fluid is a very complex chaotic state, having the positive largest Lyapunov exponent.There is orderliness in chaotic movement which looks like random movement. The oscillation movement of quasi-fluid cells has profound connotative meaning of materials physics. By employing chaotic correlation theory, the correlation of substance points of nonlinear oscillation cell has been studied. The results showed that substance points of nonlinear oscillation cell are correlative and the extent of correlation changes as time goes by. According to the results of correlation, the mechanics of appearance of quasi-fluid state cell has been studied by using dissipative structure theory. The appearance of quasi-fluid state cell is an nonequilibrium phase transition.