从布朗粒子运动所遵循的Langevin方程出发,分析了周期性外力提供给布朗粒子的瞬时功率和平均功率.揭示了双稳系统随机共振的能量输入机理.理论分析与数值仿真结果表明,布朗粒子吸收的瞬时功率随时间作周期性变化,其变化的频率是周期性外力的2倍,而其幅值和均值的大小都受控于噪声强度.改变布朗粒子所处热环境的参数,能有效地控制周期性外力的能量输入形式.
According to the Langevin equation that describes the Brownian particle motion, the instantaneous power and average power of Brownian particle provided by periodic external force are analyzed. The mechanism of energy input to a bistable system to generate stochastic resonance is revealed. The theoretical analysis and r~umerical simulation manifest that the instantaneous power absorbed by Brownian particle changes periodically. The change frequency is twice that of periodical external force, and its amplitude and average are controlled by the noise intensity. The energy input form of periodic external force can be controlled effectively by changing the parameters of thermal environment where Brownian particle is located.