Researchers derive a universal limit linking noise and response to perturbations in systems far from equilibrium.
Noise comes in many forms. A microscopic bead twitches in an optical trap; voltage fluctuations flicker through a circuit. But it’s not only a nuisance. Since 1966, physicists have understood that for systems in thermal equilibrium, such randomness also gives valuable information: Spontaneous fluctuations and the system’s response to external perturbations are locked together, frequency by frequency, according to the so-called fluctuation–dissipation theorem (FDT) [1]. That link is the basis of noise-based thermometry, microrheology, and many calibration methods. But thermal equilibrium is rare in the real world. Rather, most physical and biological systems are driven by an external force, fed, or alive, with energy continually flowing through them.







