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I'm basically trying to simulate a josephson junction at a particular temperature. As per some of the plots I could find, the rise in temperature leads to a rounding of the I - V curve. I was wondering how to achieve this in a simulation. enter image description here

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This might be a helpful reference to point you in the right direction, although not entirely sure. It discusses a Josephson junction simulation it appears: https://arxiv.org/pdf/1909.12421

A quote from the paper:

In this work we introduce a new open source program named JOsephson INterface Utility Software (JOINUS [1]) that incorporates SPICE-based simulator engines, improved physical models and several powerful built-in routines.

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