DYNAMICAL BEHAVIOR OF A DISSIPATIVE PARTICLE IN A PERIODIC POTENTIAL SUBJECT TO CHAOTIC NOISE - RETRIEVAL OF CHAOTIC DETERMINISM WITH BROKEN PARITY

Dynamical behaviors of a dissipative particle in a periodic potential subject to chaotic noise are reported. We discovered a macroscopic symmetry breaking effect of chaotic noise on a dissipative particle in a multistable system emerging, even when the noise has a uniform invariant density with parity symmetry and white Fourier spectrum. The broken parity symmetry of the multistable potential is not necessary for the dynamics with broken symmetry. We explain the mechanism of the symmetry breaking and estimate the average velocity of a particle under chaotic noise in terms of unstable fixed points.