6533b874fe1ef96bd12d6410

RESEARCH PRODUCT

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

Antonio SellittoMichele SciaccaDavid JouDavid JouLuca Galantucci

subject

General MathematicsComputationGeneral Physics and Astronomychemistry.chemical_element01 natural sciences010305 fluids & plasmasSuperfluidityThermal conductivityStability analysi0103 physical sciencesComputer refrigeration; Stability analysis; Superfluid Helium; Thermodynamics of Computation010306 general physicsComputer refrigerationSettore MAT/07 - Fisica MatematicaHeliumPhysicsApplied MathematicsRefrigerationStability analysisMechanicsDissipationThermodynamics of ComputationchemistrySuperfluid helium-4Linear stabilitySuperfluid Helium

description

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.

10.1007/s00033-019-1162-7http://hdl.handle.net/11386/4727135