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DY: Fachverband Dynamik und Statistische Physik
DY 3: Nonlinear dynamics, synchronization and chaos I
DY 3.1: Talk
Monday, March 23, 2009, 11:00–11:15, ZEU 118
Loading the Dice — •Jan Nagler1 and Peter H. Richter2 — 1MPI DS, Göttingen & Georg-August-Univ. Göttingen, Germany — 2Universität Bremen, Germany
Dice tossing is commonly believed to be random. However, throwing a fair cube is a dissipative process well described by deterministic classic mechanics. In [Phys. Rev. E 78, 036207 (2008); see also Research Highlights, Nature 455, p. 434 (2008)] we proposed a simplified model in order to analyze the origin of the pseudorandomness: A barbell with two marked masses at its tips with only two final outcomes. In order to keep things simple, we focused on the symmetrical case of equal masses. Here, we complete the picture by considering the general asymmetric case of unequal masses. We show how, depending on initial conditions, dissipation during bounces, and mass asymmetry, the degree of unpredictability varies. Our analysis reveals for our dice throwing model the effect of dice loading.