双稳系统的随机能量共振和作功效率

The stochastic energetics resonance of bistable systems and efficiency of doing work

分析了处于双稳系统中的布朗粒子与外界的周期性外力和热随机力的功、热交互作用,建立了基于Langevin方程的随机能量平衡方程.围绕着受周期力、随机力和阻尼力共同作用的Langevin方程,采用动力学和非平衡热力学相结合的方法,从以"力"为立足点转到以"能量"为研究核心,深入分析了布朗粒子沿单一轨线运动时系统与环境之间的能量交换和作功效率,揭示了双稳系统的随机能量共振现象.

The interaction of work and heat between Brownian particles in a bistable system,the external periodic force and the thermal stochastic force are analyzed.The stochastic energy balance equation based on Langevin equation is established.For the Langevin equation subjected to periodic force,stochastic force and damping force,the method of combining dynamics and non-equilibrium thermodynamics is used.From force as the foothold changed into energy as the research core,the exchange of energy between system and environment and the efficiency of doing work are deeply analyzed with this method when the Brownian particle motion is along single trajectories,which reveals that the bistable system exhibits stochastic energetic resonance phenomenon.