Goerlich Rémi, Li Minghao, Albert Samuel, Manfredi Giovanni, Hervieux Paul-Antoine, Genet Cyriaque
Université de Strasbourg, CNRS, Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504, F-67000 Strasbourg, France.
Université de Strasbourg, CNRS, Institut de Science et d'Ingénierie Supramoléculaires, UMR 7006, F-67000 Strasbourg, France.
Phys Rev E. 2021 Mar;103(3-1):032132. doi: 10.1103/PhysRevE.103.032132.
We characterize throughout the spectral range of an optical trap the nature of the noise that drives the Brownian motion of an overdamped trapped single microsphere and its ergodicity, comparing experimental, analytical, and simulated data. We carefully analyze noise and ergodic properties (i) using the Allan variance for characterizing the noise and (ii) exploiting a test of ergodicity tailored for experiments done over finite times. We derive these two estimators in the Ornstein-Uhlenbeck low-frequency trapped-diffusion regime and study analytically their evolution toward the high-frequency Wiener-like free-diffusion regime, in very good agreement with simulated and experimental results. This study is performed comprehensively from the free-diffusion to the trapped-diffusion regimes. It also carefully looks at the specific signatures of the estimators at the crossover between the two regimes. This analysis is important to conduct when exploiting optical traps in a metrology context.
我们在光阱的整个光谱范围内，对驱动过阻尼捕获的单个微球布朗运动的噪声性质及其遍历性进行了表征，比较了实验数据、分析数据和模拟数据。我们通过以下方式仔细分析噪声和遍历性质：(i) 使用阿伦方差来表征噪声；(ii) 利用针对有限时间内进行的实验量身定制的遍历性测试。我们在奥恩斯坦 - 乌伦贝克低频捕获扩散 regime 中推导了这两个估计量，并分析研究了它们向高频维纳型自由扩散 regime 的演化，与模拟和实验结果非常吻合。这项研究从自由扩散 regime 到捕获扩散 regime 进行了全面开展。它还仔细研究了两个 regime 之间交叉点处估计量的特定特征。在计量学背景下利用光阱时进行这种分析很重要。
