Designing the optimal bit: balancing energetic cost, speed and reliability.
Abhishek Deshpande1,2, Manoj Gopalkrishnan3, Thomas E Ouldridge4
1Department of Mathematics, Imperial College London, London SW7 2AZ, UK.
Proceedings. Mathematical, Physical, and Engineering Sciences
|September 8, 2017
Summary
This study reveals a trade-off between erasing speed and reliability for bits, influenced by friction. Optimal designs balance these factors, often near critical damping, to meet erasure and reliability needs efficiently.
Area of Science:
- Physics
- Information Storage
Background:
- Operating reliable bits that can be rapidly erased presents a significant challenge.
- Understanding the relationship between bit parameters, friction, and operational performance is crucial.
Purpose of the Study:
- To investigate the trade-offs between erasing speed and bit reliability.
- To define optimal bit designs that meet specific erasure and reliability requirements with minimal operational cost.
Main Methods:
- Analysis of non-monotonic relationships between friction, erasing time, and reliability.
- Definition and identification of 'optimal' bit designs based on performance criteria.
- Exploration of parameter space to identify suboptimal regions.
Main Results:
- Erasing and reliability times exhibit non-monotonic behavior with respect to friction.
- A trade-off exists: fast erasure can compromise reliability, and high reliability can slow erasure.
- Optimal designs meet erasure time bounds and may exceed reliability time requirements, particularly when critically damped.
Conclusions:
- Optimal bit designs are identified as critically damped or near critical damping for the erasing procedure.
- The study excludes large parameter spaces as suboptimal due to the complex scaling of reliability and erasing times.
- Findings provide a framework for designing efficient and reliable bit-operating systems.
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