We consider randomly flashing ratchets, where the potential acting can be switched to another at random time instants with Poisson statistics. Using coupled Fokker–Planck equations, we formulate explicit expressions of mean velocity, dispersion and quantities measuring thermodynamics. How potential landscapes and transitions affect the motility and energetics is exemplified by numerical calculations on random on-off ratchets. Randomly flashing ratchets with shifted sawtooth potentials are further discussed. We find that the dynamics and output power of such system present symmetry w.r.t. the shift between the two potentials Δ_max + Δ_min, which is the sum of the shift between the two peaks (Δ_max) and the shift between the two bottoms (Δ_min). The mean velocity and output power both reach the optimal performance at Δ_max + Δ_min = 1, provided that the asymmetry α _i of potential U _i implies a positive flux respectively, i.e., α _i > 0.5 for i = 1, 2.

我们考虑随机闪动的棘轮，利用泊松统计，可以在随机时刻将潜在的作用切换到另一个。使用耦合的Fokker-Planck方程，我们制定了测量热力学的平均速度，色散和数量的显式表达式。潜在的地形和过渡如何影响运动性和能量学是通过随机开关棘轮的数值计算来举例说明的。进一步讨论了锯齿电位偏移的随机闪烁棘轮。我们发现，这样的系统存在对称性WRT上的两种电位Δ之间的位移的动力和输出功率_最大+Δ_分钟，这是两个峰（Δ之间的偏移的总和_最大）和两个底部之间的偏移（Δ_分）。平均速度和输出功率都在Δ达到最佳的性能_最大+Δ_分钟= 1，条件是不对称α _我潜在的ü_我分别意味着正通量，即，α_我> 0.5为我= 1，2。