论文标题
活动细菌浴中关键振荡器的能量学
Energetics of critical oscillators in active bacterial baths
论文作者
论文摘要
我们研究了浸入活性细菌浴中的非线性驱动振荡器的临界点附近的非平衡能量。 At the critical point, we reveal a scaling exponent of the average power $\langle\dot{W}\rangle\sim (D_{\rm a}/τ)^{1/4}$ where $D_{\rm a}$ is the effective diffusivity and $τ$ the correlation time of the bacterial bath described by a Gaussian colored noise.我们研究的其他功能是平均固定功率和鞍形节点分叉下方和之上的工作方差。在分叉上方，平均功率达到了有限$τ$的最佳，最小值，该值低于其零温度限制。此外，我们揭示了活动物质的有限时间不确定性关系，这会导致工作的fano因子值低于$ 2K _ {\ rm b} t _ {\ rm eff} $，并带有$ t _ {\ rm eff} $ oscillator在细菌浴室中的有效温度。我们分析了不同的马尔可夫近似值，以描述系统的非平衡固定状态。最后，我们通过考虑大肠杆菌细菌浴中周期性光势中驱动的胶体颗粒的示例来说明我们的结果。
We investigate the nonequilibrium energetics near a critical point of a non-linear driven oscillator immersed in an active bacterial bath. At the critical point, we reveal a scaling exponent of the average power $\langle\dot{W}\rangle\sim (D_{\rm a}/τ)^{1/4}$ where $D_{\rm a}$ is the effective diffusivity and $τ$ the correlation time of the bacterial bath described by a Gaussian colored noise. Other features that we investigate are the average stationary power and the variance of the work both below and above the saddle-node bifurcation. Above the bifurcation, the average power attains an optimal, minimum value for finite $τ$ that is below its zero-temperature limit. Furthermore, we reveal a finite-time uncertainty relation for active matter which leads to values of the Fano factor of the work that can be below $2k_{\rm B}T_{\rm eff}$, with $T_{\rm eff}$ the effective temperature of the oscillator in the bacterial bath. We analyze different Markovian approximations to describe the nonequilibrium stationary state of the system. Finally, we illustrate our results in the experimental context by considering the example of driven colloidal particles in periodic optical potentials within an E. Coli bacterial bath.
