熵随机共振：不均匀性的建设性作用
Entropic stochastic resonance: the constructive role of the unevenness
摘要：
我们证明了随机共振（SR）的存在所产生的熵变化与不规则边界的存在下，在封闭系统。当布朗粒子的运动被约束到一个不均匀边界的区域时，周期性输入的存在可能会引起光谱放大因子的峰值，从而导致SR现象的出现。我们已经证明，放大因子取决于该区域的形状，通过该区域的粒子移动，并通过调整其特征几何参数，可以优化系统的响应。这种熵随机共振（ESR）出现的情况是常见的小尺度系统中，限制和噪声发挥了突出的作用。因此，发现的新机制可以构成表征这些系统的重要工具，并可以用于控制其基本性质。
英文摘要：
We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries. When the motion of a Brownian particle is constrained to a region with uneven boundaries, the presence of a periodic input may give rise to a peak in the spectral amplification factor and therefore to the appearance of the SR phenomenon. We have proved that the amplification factor depends on the shape of the region through which the particle moves and that by adjusting its characteristic geometric parameters one may optimize the response of the system. The situation in which the appearance of such entropic stochastic resonance (ESR) occurs is common for small-scale systems in which confinement and noise play an prominent role. The novel mechanism found could thus constitute an important tool for the characterization of these systems and can put to use for controlling their basic properties.
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