https://github.com/itstorque/rcsj-washboard-potential
https://github.com/itstorque/rcsj-washboard-potential
Last synced: over 1 year ago
JSON representation
- Host: GitHub
- URL: https://github.com/itstorque/rcsj-washboard-potential
- Owner: itstorque
- License: mit
- Created: 2020-11-04T09:29:40.000Z (over 5 years ago)
- Default Branch: main
- Last Pushed: 2022-07-06T18:57:23.000Z (almost 4 years ago)
- Last Synced: 2025-02-02T20:54:10.248Z (over 1 year ago)
- Language: MATLAB
- Size: 101 KB
- Stars: 1
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# RCSJ Washboard Potential
This script was made for 6.s079 - Classical and Quantum Superconducting Circuits taught in Fall 2020.
The script is a solver for the RCSJ model of a superconducting josephson junction. It helps visualize
applications of different currents vs. the critical current and how the washboard potential tilts.
The model shows a pendulum analog, where force is related to the current applied and the
pendulum properties correspond to the model constants.
The mechanical analog for the model is as follows:
$$ml^2\ddot\phi+\Gamma\dot\phi+mgl\sin\phi=\tau_{applied}$$
Where the moment of inertia is related to the capacitance term as
$ml^2\equiv\dfrac{\Phi_0}{2\pi}C$
, the damping coefficient as
$\Gamma\equiv\dfrac{\Phi_0}{2\pi R}$
and an analog between the applied torque to driving current, where
$l=1$,
$mg=I_c$
and
$\tau_{\text{applied}}=F_{drive}\cdot l\equiv\dfrac{\Phi_0}{2\pi R}$