论文标题
对布朗旋转剂的惯性影响
Inertial effects on the Brownian gyrator
论文作者
论文摘要
尽管有明确质量的一般病例适用于理论和实验，但对布朗旋转剂的最新兴趣主要局限于对布朗动力学的分析。在fokker的解决方案中明确考虑质量 - planck方程和兰格文动力学模拟，我们研究了惯性如何改变布朗旋转器的动力学和能量学。在Langevin模型中，惯性通过减少概率密度函数的下降和特定角动量的平均值$J_θ$作为旋转度量来降低非平衡效应。 Langevin描述的另一个独特特征是，旋转在特定各向异性上最大化，而在特定各向异性或质量下旋转的稳定性最小化。我们的结果表明，布朗旋转器的兰格文动力学描述与布朗动力学本质上不同。此外，事实证明，$j_θ$对于估算随机能量（例如热电流和熵产生）即使在失业不足的状态中也是必不可少的。
The recent interest into the Brownian gyrator has been confined chiefly to the analysis of Brownian dynamics both in theory and experiment despite the applicability of general cases with definite mass. Considering mass explicitly in the solution of the Fokker--Planck equation and Langevin dynamics simulations, we investigate how inertia can change the dynamics and energetics of the Brownian gyrator. In the Langevin model, the inertia reduces the nonequilibrium effects by diminishing the declination of the probability density function and the mean of a specific angular momentum, $j_θ$, as a measure of rotation. Another unique feature of the Langevin description is that rotation is maximized at a particular anisotropy while the stability of the rotation is minimized at a particular anisotropy or mass. Our results suggest that the Langevin dynamics description of the Brownian gyrator is intrinsically different from that with Brownian dynamics. In addition, $j_θ$ is proven to be essential and convenient for estimating stochastic energetics such as heat currents and entropy production even in the underdamped regime.
