Speaker
Description
We investigate a Brownian information engine driven by space-dependent diffusivity. The working protocol is described by overdamped Langevin dynamics within a harmonic confinement and is controlled via resetting. The geometry of the space-dependent diffusivity has a significant impact on the information processing. If the fluctuation increases, while moving away from the potential's center $D(x) ∝ (1+x^2)$, a higher information-energy exchangeability is observed. This colossal information processing is hindered by a lower resetting cycle time. Interestingly, for a case of space-dependent fluctuations whose strength disappears going away from the potential center, $D(x)∝(1−x^2)$ enables a reset-controlled thermodynamic phase behavior. In the slow-resetting limit $(r→0)$, the system exhibits an athermal engine-refrigerator transition governed by the ratio between the frequency of the confining potential and the strength of the space-dependent fluctuation $α=\frac{k}{2D0}$. The engine can convert the acquired information into a positive output work only if $α>1$, revealing a noise-induced thermodynamic transition. Moreover, a finite cycle time acts as a nonequilibrium control field, redistributing the probability by shifting the engine-refrigerator phase boundary. Our analytical predictions are supported by Langevin simulations and contrasted with the homogeneous diffusivity, highlighting the distinct role of multiplicative noise in enabling reset-controlled information use.
References
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