Thermodynamic uncertainty relation for nonequilibrium systems driven by active Ornstein-Uhlenbeck noise

Active noise has been a central focus of research in biophysics and soft matter physics for decades, largely due to its interesting fluctuation dynamics. In the context of stochastic processes, thermodynamic uncertainty relations (TURs) provide a crucial framework that links fluctuations in kinetic quantities to their associated thermodynamic costs. In this presentation, we investigate how active Ornstein-Uhlenbeck particles affect these relationships. Our results demonstrate that active noise adds new energy consumption factors to the traditional entropy production measures within the TUR framework. By constructing a customized system for steady-state TUR and incorporating a generalized time-reversal symmetry parameter, we establish new bounds on observable fluctuations. This investigation shows that active noise complicates the estimation of anomalous diffusion, thereby deepening our understanding of the fluctuating behaviors characteristic of biological systems in active environments.