Localization area, fractal dimension and phase transitions in dissipative two-dimensional Yukawa systems: Numerical simulation

Abstract

In the present work, the dynamic entropy of an extensive dissipative system with Yukawa interaction is studied numerically. Two parameters defining the state of a system—the coupling parameter and the scaling parameter—were varied in the wide range (from disordered to highly-ordered state of a system). For each state, the dynamical entropy of a system was calculated; the fractal dimension of trajectories of grains and the size of their localization area were found. Two latter parameters appeared to have critical points in the vicinity of , that complies with the results obtained by the pair correlation function method.