### 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 language | English |
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Article number | 121 |

Journal | Zeitschrift fur Angewandte Mathematik und Physik |

Volume | 70 |

DOIs | |

Publication status | Published - 1 Aug 2019 |

### Keywords

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

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## Cite this

Sciacca, M., Sellitto, A., Galantucci, L., & Jou, D. (2019). Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array.

*Zeitschrift fur Angewandte Mathematik und Physik*,*70*, [121]. https://doi.org/10.1007/s00033-019-1162-7