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Maxwell's Demons with Finite Size and Response Time
Nathaniel Rupprecht1, Dervis Can Vural1
1Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA.
Physical Review Letters
|September 7, 2019
Summary
This study examines Maxwell
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Information Theory
Background:
- Maxwell's demon is a thought experiment exploring the second law of thermodynamics.
- Previous research focused on the energy and entropy costs of the demon's operation.
Purpose of the Study:
- To investigate the operational rate limits of Maxwell's demon.
- To analyze how finite response time and gate area affect performance.
- To determine optimal gate sizes for different demon types.
Main Methods:
- Theoretical analysis of four types of Maxwell's demons (selecting by direction, energy, number, entropy).
- Modeling rate limitations due to finite response time and gate area.
- Comparison with molecular dynamics simulations for ideal and nonideal gases.
Main Results:
- Quantified rate limits for mass, energy transfer, and entropy reduction.
- Identified optimal gate sizes for demons with finite response times.
- Investigated conditions for simultaneous energy and particle transfer.
Conclusions:
- Operational rate, not just energetic cost, is a key factor for Maxwell's demon.
- Finite response time and gate area impose fundamental limits on demon performance.
- Simulation results validate theoretical predictions for demon operation.