Imperial College London
Alternate

Nick S Jones

Faculty of Natural Sciences, Department of Mathematics

Professor of Mathematical Sciences
 
 
 
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Contact

 

+44 (0)20 7594 1146nick.jones

 
 
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Location

 

301aSir Ernst Chain BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Deshpande:2017:10.1098/rspa.2017.0117,
author = {Deshpande, A and Gopalkrishnan, M and Ouldridge, TE and Jones, N},
doi = {10.1098/rspa.2017.0117},
journal = {Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences},
title = {Designing the Optimal Bit: Balancing Energetic Cost, Speed and  Reliability},
url = {http://dx.doi.org/10.1098/rspa.2017.0117},
volume = {473},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider the technologically relevant costs of operating a reliable bitthat can be erased rapidly. We find that both erasing and reliability times arenon-monotonic in the underlying friction, leading to a trade-off betweenerasing speed and bit reliability. Fast erasure is possible at the expense oflow reliability at moderate friction, and high reliability comes at the expenseof slow erasure in the underdamped and overdamped limits. Within a given classof bit parameters and control strategies, we define "optimal" designs of bitsthat meet the desired reliability and erasing time requirements with the lowestoperational work cost. We find that optimal designs always saturate the boundon the erasing time requirement, but can exceed the required reliability timeif critically damped. The non-trivial geometry of the reliability and erasingtime-scales allows us to exclude large regions of parameter space assub-optimal. We find that optimal designs are either critically damped or closeto critical damping under the erasing procedure.
AU  - Deshpande,A
AU  - Gopalkrishnan,M
AU  - Ouldridge,TE
AU  - Jones,N
DO  - 10.1098/rspa.2017.0117
PY  - 2017///
SN  - 1364-5021
TI  - Designing the Optimal Bit: Balancing Energetic Cost, Speed and  Reliability
T2  - Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.2017.0117
UR  - http://hdl.handle.net/10044/1/52037
VL  - 473
ER  -
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