论文标题
在阻尼不足的Langevin动力学中电流精度的界限
Bounds on the precision of currents in underdamped Langevin dynamics
论文作者
论文摘要
我们在波动电流的精确度上得出了边界，这些电流对于不足的兰格文动力学的稳定状态有效。这些边界提供了与有限质量质量相关的过度阻尼热力学不确定性关系的概括。在过度阻尼的情况下，电流的精度受熵产生的限制。相比之下，受阻尼不足的结合获得了两个额外的正术语，这些术语表征了局部平均加速度和速度的波动。我们将结合到磁场和各向异性温度的情况下，并得出几个可观察物的关节结合。最后，我们将结果应用于有偏见的自由扩散和布朗旋转（带有和没有磁场），以及在周期电位的扩散。在后一种情况下，我们表明，在考虑到当前和其他观察物之间的相关性时，受阻尼不足的界限可能很紧。
We derive bounds on the precision of fluctuating currents, which are valid for the steady state of underdamped Langevin dynamics. These bounds provide a generalization of the overdamped thermodynamic uncertainty relation to the finite-mass regime. In the overdamped case, the precision of a current is bounded by the entropy production. By contrast, the underdamped bound acquires two additional positive terms, which characterize the local mean acceleration and the fluctuations of the velocity. We generalize the bound to the cases of a magnetic field and anisotropic temperature, and derive a joint bound for several observables. Finally, we apply our results to biased free diffusion and the Brownian gyrator (with and without magnetic field), as well as to diffusion in periodic potentials. In the latter case, we show that the underdamped bound can be tight when taking into account the correlations between the current and other observables.
