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.

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(4) [10.1007/s00033-019-1162-7].

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

Sciacca M.
;
2019-01-01

Abstract

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.
Settore MAT/07 - Fisica Matematica
https://link.springer.com/article/10.1007/s00033-019-1162-7
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(4) [10.1007/s00033-019-1162-7].
File in questo prodotto:
File Dimensione Formato  
revision.pdf

Open Access dal 16/07/2020

Tipologia: Post-print
Dimensione 325.69 kB
Formato Adobe PDF
325.69 kB Adobe PDF Visualizza/Apri
Sciacca2019_Article_ThermodynamicsOfComputationAnd.pdf

Solo gestori archvio

Descrizione: Articolo completo
Tipologia: Versione Editoriale
Dimensione 515.91 kB
Formato Adobe PDF
515.91 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/387620
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact