论文标题

自主布朗回旋:关于回旋特征的研究

Autonomous Brownian gyrators: a study on gyrating characteristics

论文作者

Chang, Hsin, Lee, Chi-Lun, Lai, Pik-Yin, Chen, Yung-Fu

论文摘要

我们通过计算机模拟和基于Fokker-Planck方程的计算机模拟和分析,研究了二维Brownian Gyrators的非平衡稳态(NESS)动力学,而我们的非Harmonic案例具有双球电位和同型势势。特别是,我们报告了两种可以帮助理解回旋模式的简单方法。对于谐波电位,我们使用Fokker-Planck方程来调查NES的动力学特性,即沿均稳性轮廓的NESS电流旋转,流动的固定点与潜在的最小值一致。相反,NESS导致我们的非谐波电位表明,这些特性在很大程度上没有,因为回旋模式与相应概率分布的模式大不相同。此外,我们观察到了双孔电势的关键情况,在这种情况下,对旋转模式的谐波贡献也不存在,即使在低温下,在附近的均衡性轮廓也不会循环。

We study the nonequilibrium steady-state (NESS) dynamics of two-dimensional Brownian gyrators under harmonic and nonharmonic potentials via computer simulations and analyses based on the Fokker-Planck equation, while our nonharmonic cases feature a double-well potential and an isotropic quartic potential. In particular, we report two simple methods that can help understand gyrating patterns. For harmonic potentials, we use the Fokker-Planck equation to survey the NESS dynamical characteristics, i.e., the NESS currents gyrate along the equiprobability contours and the stationary point of flow coincides with the potential minimum. As a contrast, the NESS results in our nonharmonic potentials show that these properties are largely absent, as the gyrating patterns are much distinct from those of corresponding probability distributions. Furthermore, we observe a critical case of the double-well potential, where the harmonic contribution to the gyrating pattern becomes absent, and the NESS currents do not circulate about the equiprobability contours nearby the potential minima even at low temperatures.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源