{"id":17502082,"url":"https://github.com/itstorque/rcsj-washboard-potential","last_synced_at":"2025-03-28T19:24:15.730Z","repository":{"id":43343908,"uuid":"309955706","full_name":"itstorque/RCSJ-Washboard-Potential","owner":"itstorque","description":null,"archived":false,"fork":false,"pushed_at":"2022-07-06T18:57:23.000Z","size":103,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"main","last_synced_at":"2025-02-02T20:54:10.248Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":"MATLAB","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/itstorque.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null}},"created_at":"2020-11-04T09:29:40.000Z","updated_at":"2024-04-10T00:14:57.000Z","dependencies_parsed_at":"2022-09-21T01:01:42.738Z","dependency_job_id":null,"html_url":"https://github.com/itstorque/RCSJ-Washboard-Potential","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/itstorque%2FRCSJ-Washboard-Potential","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/itstorque%2FRCSJ-Washboard-Potential/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/itstorque%2FRCSJ-Washboard-Potential/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/itstorque%2FRCSJ-Washboard-Potential/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/itstorque","download_url":"https://codeload.github.com/itstorque/RCSJ-Washboard-Potential/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":246086455,"owners_count":20721352,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":[],"created_at":"2024-10-19T20:37:29.039Z","updated_at":"2025-03-28T19:24:15.702Z","avatar_url":"https://github.com/itstorque.png","language":"MATLAB","funding_links":[],"categories":[],"sub_categories":[],"readme":"# RCSJ Washboard Potential\n\nThis script was made for 6.s079 - Classical and Quantum Superconducting Circuits taught in Fall 2020.\nThe script is a solver for the RCSJ model of a superconducting josephson junction. It helps visualize\napplications of different currents vs. the critical current and how the washboard potential tilts.\n\n\u003cimg src=\"doc/example_plot.png\" /\u003e\n\nThe model shows a pendulum analog, where force is related to the current applied and the\npendulum properties correspond to the model constants. \n\nThe mechanical analog for the model is as follows:\n$$ml^2\\ddot\\phi+\\Gamma\\dot\\phi+mgl\\sin\\phi=\\tau_{applied}$$\n\nWhere the moment of inertia is related to the capacitance term as\n$ml^2\\equiv\\dfrac{\\Phi_0}{2\\pi}C$\n, the damping coefficient as \n$\\Gamma\\equiv\\dfrac{\\Phi_0}{2\\pi R}$\nand an analog between the applied torque to driving current, where \n$l=1$, \n$mg=I_c$\nand\n$\\tau_{\\text{applied}}=F_{drive}\\cdot l\\equiv\\dfrac{\\Phi_0}{2\\pi R}$\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fitstorque%2Frcsj-washboard-potential","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fitstorque%2Frcsj-washboard-potential","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fitstorque%2Frcsj-washboard-potential/lists"}