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Designing the Optimal Bit: Balancing Energetic Cost, Speed and Reliability

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  • معلومة اضافية
    • Contributors:
      The Royal Society
    • بيانات النشر:
      Royal Society, The
    • الموضوع:
      2017
    • Collection:
      Imperial College London: Spiral
    • نبذة مختصرة :
      We consider the technologically relevant costs of operating a reliable bit that can be erased rapidly. We find that both erasing and reliability times are non-monotonic in the underlying friction, leading to a trade-off between erasing speed and bit reliability. Fast erasure is possible at the expense of low reliability at moderate friction, and high reliability comes at the expense of slow erasure in the underdamped and overdamped limits. Within a given class of bit parameters and control strategies, we define "optimal" designs of bits that meet the desired reliability and erasing time requirements with the lowest operational work cost. We find that optimal designs always saturate the bound on the erasing time requirement, but can exceed the required reliability time if critically damped. The non-trivial geometry of the reliability and erasing time-scales allows us to exclude large regions of parameter space as sub-optimal. We find that optimal designs are either critically damped or close to critical damping under the erasing procedure.
    • ISSN:
      1364-5021
    • Relation:
      Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; http://hdl.handle.net/10044/1/52037; https://dx.doi.org/10.1098/rspa.2017.0117; UF150067
    • الرقم المعرف:
      10.1098/rspa.2017.0117
    • الدخول الالكتروني :
      http://hdl.handle.net/10044/1/52037
      https://doi.org/10.1098/rspa.2017.0117
    • Rights:
      © 2017 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/ by/4.0/, which permits unrestricted use, provided the original author and source are credited.
    • الرقم المعرف:
      edsbas.CE30C7ED