Geometric Brownian Information Engine: Essentials for the best performance

Abstract

We investigate a Geometric Brownian Information Engine (GBIE) in the presence of an error-free feedback controller that transforms the information gathered on the state of Brownian particles entrapped in monolobal geometric confinement into extractable work. Outcomes of the information engine depend on the reference measurement distance $x_m$, feedback site $x_f$ and the transverse force $G$. We determine the benchmarks for utilizing the available information in an output work and the optimum operating requisites for best work extraction. Transverse bias force ($G$) tunes the entropic contribution in the effective potential and hence the standard deviation ($\sigma$) of the equilibrium marginal probability distribution. We recognize that the amount of extracted work reaches a global maximum when $x_f=2x_m$ with $x_m\sim 0.6\sigma$, irrespective of the extent of the entropic limitation. Because of the higher loss of information during the relaxation process, the best achievable work of a GBIE is lower in an entropic system. The feedback regulation also bears the unidirectional passage of particles. The average displacement increases with growing entropic control and is maximum when $x_m\sim 0.81\sigma$. Finally, we explore the efficacy of the information engine, a quantity that regulates the efficiency in utilizing the information acquired. With $x_f=2x_m$, the maximum efficacy reduces with increasing entropic control and shows a cross over from $2$ to $11/9$. We discover that the condition for the best efficacy depends only on the confinement length scale along the feedback direction. The broader marginal probability distribution accredits the increased average displacement in a cycle and the lower efficacy in an entropy-dominated system.

13 pages and 10 figures

References in corpus (23)

• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Entropic transport: Kinetics, scaling and control mechanisms
• Quantum Szilard Engine
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Biased diffusion in confined media: Test of the Fick-Jacobs approximation and validity criteria
• Entropic Stochastic Resonance
• Extracting work from a single heat bath through feedback
• Finite-time Landauer principle
• Realization of a feedback controlled flashing ratchet
• Entropic particle transport in periodic channels
• Information and thermodynamics: fast and precise approach to Landauer's bound in an underdamped micro-mechanical oscillator
• Entropic stochastic resonance: the constructive role of the unevenness
• The thermodynamics of creating correlations: Limitations and optimal protocols
• Optimal finite-time bit erasure under full control
• Maximizing power and velocity of an information engine
• Loop Dynamics in DNA Denaturation
• Double Entropic Stochastic Resonance
• Underdamped Active Brownian Heat Engine
• General achievable bound of extractable work under feedback control
• Extracting work from a single heat bath - A case study on Brownian particle under external magnetic field in presence of information
• Work extraction and performance of colloidal heat engines in viscoelastic baths
• Extracting work optimally with imprecise measurements
• Brownian dynamics simulations with hard-body interactions: Spherical particles

Cited by in corpus (1)

• Achievable Information-Energy Exchange in a Brownian Information Engine through Potential Profiling