A perfect probe: Resonance of underdamped scaled Brownian motion

          Yuhui Luo, Chunhua Zeng∗, et al

摘要：We numerically investigate the resonance of the underdamped scaled Brownian motion in a bistable system for both cases of a single particle and interacting particles. Through the velocity autocorrelation function (VACF) and mean squared displacement (MSD) of a single particle, we find that for the steady state, diffusions are free ballistic motion in short time, become the transitions between superdiffusion and subdiffusion in intermediate time, and converge to zero at long times. Via the power spectrum density corresponding to the transitions between superdiffusion and subdiffusion, we find that there exists a nontrivial resonance. For interacting particles, we find that the interaction between the probe particle and other particles can lead to the resonance, too. Thus we theoretically propose the system with the Brownian particle as a probe, which can detect the temperature of the system and identify the number of the particles or the types of different coupling strengths in the system. The probe is potentially useful for detecting microscopic and nanometer-scale particles.

To cite this article before publication: Yuhui Luo et al 2021 EPL in press https://doi.org/10.1209/0295-5075/ac4623

The accepted manuscript of your article has now been made available online at https://doi.org/10.1209/0295-5075/ac4623.