Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array

Michele Sciacca, Antonio Sellitto, Luca Galantucci, David Jou

Research output: Contribution to journalArticleResearch

Abstract

© 2019, Springer Nature Switzerland AG. We analyze the stability of the temperature profile of an array of computing nanodevices refrigerated by flowing superfluid helium, under variations in temperature, computing rate, and barycentric velocity of helium. It turns out that if the variation in dissipated energy per bit with respect to temperature variations is higher than some critical values, proportional to the effective thermal conductivity of the array, then the steady-state temperature profiles become unstable and refrigeration efficiency is lost. Furthermore, a restriction on the maximum rate of variation in the local computation rate is found.
Original languageEnglish
Article number121
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume70
DOIs
Publication statusPublished - 1 Aug 2019

Keywords

  • Computer refrigeration
  • Stability analysis
  • Superfluid helium
  • Thermodynamics of computation

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