How do I simulate a Josephson junction?

Open this page and use the live Special Relativity tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a Josephson junction from your own measurements.

Use case · powered by Special Relativity

Special Relativity for a Josephson junction

Simulate a Josephson junction live in your browser. This runs the real Special Relativity solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Special RelativityLive

time dilation & length contraction

Controls

Presets

Speed v (fraction of c)

Near the speed of light, space and time warp. The Lorentz factor γ = 1/√(1−v²/c²) governs it all: moving clocks run slow by γ (time dilation), moving objects shrink along their motion by 1/γ (length contraction), and energy grows without bound. At everyday speeds γ ≈ 1, so we never notice.

▶ Run in Python

Data Inspector

Lorentz factor γ1.250

Time dilation×1.25

Length contraction×0.800

Speed180 Mm/s

Governing equation

γ = \frac{1}{1 - β ^{2}} = \frac{1}{1 - 0. 6 ^{2}} = 1.250, Δ t^{'} = γ Δ t

Reading this result: Deep in the relativistic regime — moving clocks run visibly slow and rulers shrink markedly along the motion.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full Special Relativity tool models a Josephson junction with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Special Relativity

Special Relativity for a hydrogen atom Special Relativity for a quantum well Special Relativity for a qubit Special Relativity for the double-slit experiment Special Relativity for a particle in a box Special Relativity for a tunneling electron Special Relativity for a spin measurement Special Relativity for a laser cavity

Other ways to simulate a Josephson junction

Particle in a Box for a Josephson junction Quantum Tunneling for a Josephson junction Bloch Sphere for a Josephson junction Hydrogen Orbitals for a Josephson junction Photoelectric Effect for a Josephson junction Quantum Harmonic Oscillator for a Josephson junction

Frequently asked questions

How do I simulate a Josephson junction?: Open this page and use the live Special Relativity tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a Josephson junction from your own measurements.