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   <subfield code="a">Mathematical Model for Transitional Processes in Josephson Cryotrons Based on Tunnel Junctions</subfield>
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   <subfield code="a">In this work, we consider controlling of logical states of Josephson memory cells (cryotrons) based on superconductor-insulator-superconductor (SIS) Josephson tunnel junctions by external current impulses. A mathematical model for the transitional processes that take place during direct logical transitions &quot;0”→&quot;1” and inverse logical transitions &quot;1” → &quot;0” is proposed. By means of mathematical modeling, we investigate transitional processes in cryotrons during the change of their logical state and obtain their transitional characteristics for operational temperatures T 1=11.6K and T 2=81.2K, close to the boiling temperatures of helium and nitrogen, respectively. It is shown that such memory cells can efficiently operate under the temperature T 2=81.2K. The behavior of the Josephson cryotrons as well as their operational stability is explored.</subfield>
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