循环图上流统计量的对偶与涨落关系
Duality and fluctuation relations for statistics of currents on cyclic graphs
摘要：
本文研究了循环图上质点的随机运动，其运动速率为任意周期依赖于时间。我们证明了在这个模型中的电流统计的对偶关系，并在其连续版本的一维扩散。我们的对偶关系是有效的超越细致平衡的限制，并导致精确的表达式，涉及双驱动协议引起的电流统计。我们还表明，以前已知的无泵定理和一些波动关系，当它们被应用到循环图或一维扩散，是我们的对偶的特殊后果。
英文摘要：
We consider stochastic motion of a particle on a cyclic graph with arbitrarily periodic time dependent kinetic rates. We demonstrate duality relations for statistics of currents in this model and in its continuous version of a diffusion in one dimension. Our duality relations are valid beyond detailed balance constraints and lead to exact expressions that relate statistics of currents induced by dual driving protocols. We also show that previously known no-pumping theorems and some of the fluctuation relations, when they are applied to cyclic graphs or to one dimensional diffusion, are special consequences of our duality.
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