Study On Entropic Stochastic Resonance Of Active Brownian Particles In The Under-damped Region

In the previous studies of stochastic resonance and entropic stochastic resonance,most of them have focused on passive Brownian particles,while the research on active Brownian particles has rarely been done.In recent years,self-propelled particles have been favored by researchers due to their unique dynamic properties and many application prospects,and attract extensive research.In biological systems and some artificial systems,the objects under study are often active.In order to make theoretical research more effective in practical systems,the simulation research of active Brownian particles is an inevitable method.Considering that the motion of self-propelled particles in gaseous medium is usually not over-damped,we focus on the influence of inertial effects on entropic stochastic resonance.In this paper,the entropic stochastic resonance is characterized by simulating the spectral gain coefficient and the mean free flying time,and the regulation effect of each parameter on the entropic stochastic resonance is elucidated in detail.In the case of under-damped,the Langevin equation describing translation and rotation will add an inertial term containing mass or moment of inertia compared to over-damped,which makes the solution of the equation inaccurate,and only a large number of simulation calculations can be performed.First of all,the selfpropulsion velocity,translational damping coefficient and vertical bias force all show double-edged sword effects,that is,their appearance will induce entropic stochastic resonance,but the continuous increase of their values will inhibit entropic stochastic resonance.Taking different values of the rotational friction and the time period driving amplitude will lead to the re-entrance phenomenon of the entropic stochastic resonance curve "single-peak→double-peak→single-peak".In addition,this paper has also made some innovations in the processing of reflection boundary conditions.The research in this paper has certain practical value for both macroscopic particles and small-scale systems moving in medium gas.