Abstract:

Particle escape curves have the property of chaotics in a RIKEN mesoscopic device, so these curves are the ideal models to investigate fractals and selfsimilar structures. We found selfsimilar structures of the escape curves and defined them by similar ratio through the research on the chaotic escape curves and the scaleless band. We also discovered that the similar ratio is constant in the same scaleless band by the comparisons among different selfsimilar structures. We further acquired the linear relationship between the similar ratios and fractal dimensions of the escape curves. Similar ratio is therefore a means to quantitatively describe the scaleless band and chaotic behaviors. This provides a new method to characterize the chaotic property of a mesoscopic system.

Key words: chaotic property, scaleless band, fractal;, selfsimilarity, statistical physics