Designing Autonomous Maxwell Demon via Stochastic Resetting
arXiv:2209.11419 · doi:10.1103/PhysRevResearch.5.043066
Abstract
Autonomous Maxwell demon is a new type of information engine proposed by Mandal and Jarzynski, which can produce work by exploiting an information tape. Here, we show that a stochastic resetting mechanism can be used to improve the performance of autonomous Maxwell demons notably. Generally, the performance is composed of two important features, the time cost for an autonomous demon to reach its functional state and its efficacious working region in its functional state. Here, we provide a set of design principles for the system, which are capable of improving the two important features. On the one hand, one can drive any autonomous demon system to its functional periodic steady state at a fastest pace for any initial distribution through resetting the demon for a predetermined critical time and closing the reset after that. On the other hand, the system can reach a new functional state when the resetting is always on, in which case the efficacious region of the demon being extended significantly. Moreover, a dual function region in a new phase diagram of the demon with resetting has been found. Remarkably, in this dual function region the demon with resetting can realize anomalous output of work and erasure of information on the tape simultaneously, violating the second law of thermodynamics apparently. To this question, we derive a new modified Clausius inequality to restore the second law by taking the cost of resetting into account.
arXiv comment16 pages, 5 figures; all comments are welcome
References in corpus (46)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Thermodynamic uncertainty relation for biomolecular processes
- Diffusion with Stochastic Resetting
- Dissipation bounds all steady-state current fluctuations
- Stochastic Resetting and Applications
- First Passage Under Restart
- On-chip Maxwell's demon as an information-powered refrigerator
- Work and information processing in a solvable model of Maxwell's demon
- Optimal stochastic restart renders fluctuations in first passage times universal
- Nonequilibrium Thermodynamics of Feedback Control
- Anomalous cooling and heating - the Mpemba effect and its inverse
- Stochastic resetting in backtrack recovery by RNA polymerases
- Exponentially faster cooling in a colloidal system
- Fluctuating interfaces subject to stochastic resetting
- Thermodynamic uncertainty relation for time-dependent driving
- Stochastic resetting: A (very) brief review
- Stochastic thermodynamics of resetting
- Maxwell's Refrigerator: An Exactly Solvable Model
- The Mpemba index and anomalous relaxation
- Tightening the uncertainty principle for stochastic currents
- Restart could optimize the probability of success in a Bernoulli trial
- The Mpemba effect in spin glasses is a persistent memory effect
- Work fluctuations and Jarzynski equality in stochastic resetting
- Thermodynamic Uncertainty Relation for Arbitrary Initial States
- Optimization in First-Passage Resetting
- First passage under restart with branching
- Integral Fluctuation Theorems for Stochastic Resetting Systems
- Pre-Cooling Strategy Allows Exponentially Faster Heating
- Thermodynamics of Gambling Demons
- Restart expedites quantum walk hitting times
- Thermodynamic uncertainty relation for systems with unidirectional transitions
- Information driven current in a quantum Maxwell demon
- Entropy production in systems with unidirectional transitions
- Information-theoretical bound of the irreversibility in thermal relaxation processes
- Mpemba effect in molecular gases under nonlinear drag
- The Second Laws for an Information driven Current through a Spin Valve
- Maximum work extraction and implementation costs for non-equilibrium Maxwell's demons
- Diffusion with Local Resetting and Exclusion
- Tighter thermodynamic bound on speed limit in systems with unidirectional transitions
- A Maxwell demon that can work at macroscopic scales
- Quantum Maxwell's Demon Assisted by Non-Markovian Effects
- Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
- From a feedback-controlled demon to an information ratchet in a double quantum dot
- Fast Functionalization with High Performance in the Autonomous Information Engine
- Quantum Consensus Dynamics by Entangling Maxwell Demon
- Efficiency estimation for an equilibrium version of Maxwell refrigerator