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Physics-Informed AI

Physics AI: Teaching Neural Networks the Laws of Physics

How physics-informed neural networks (PINNs) and neural operators compress hours-long TCAD, thermal, and electromigration simulations into millisecond predictions — without throwing away the governing equations that make the results trustworthy.

What "Physics AI" means here

Physics AI is machine learning that is constrained — not just trained — by the governing physical equations of the system it models: Maxwell's equations for electromagnetics, the heat equation for thermal spreading, drift-diffusion for carrier transport, or Fick's law for dopant diffusion. Instead of learning purely from labeled data, the network's loss function includes a physics residual: how badly the network's output violates the PDE it's supposed to satisfy.

In plain terms: a normal neural network learns "what answer usually follows this input." A physics-informed one also has to answer "and does this obey the equation that's actually true here?" — so it can't hallucinate a result that's fast but physically impossible.

Why chip design needs it

Full-physics simulation (finite-element TCAD, SPICE-level electromagnetics, Monte Carlo transport) is accurate but slow — minutes to hours per run. Modern chip design needs thousands of design-space evaluations per day. Physics AI closes that gap:

🌡️ Thermal & Hotspot

A PINN trained on the heat equation predicts junction-temperature maps across a floorplan in milliseconds instead of running a full finite-element thermal solve per candidate layout.

🔌 Electromigration

Neural operators surrogate Black's-equation wire-reliability models across millions of BEOL interconnect segments, flagging failure-prone nets early in place-and-route.

🔬 Process & TCAD

Etch, deposition, and lithography models (see our live simulators) can be accelerated with learned surrogates for rapid process-window exploration, falling back to full physics for final sign-off.

How the training loop differs from ordinary ML

Neural Network f(x, t; θ) Data Loss measured / simulated points Physics Residual ‖PDE(f) − 0‖² via autodiff Combined Loss L = L_data + λ·L_physics Backprop update θ Trained Surrogate millisecond inference, physics-consistent θ updated until both losses converge

The physics-residual term is computed with automatic differentiation — the same machinery that trains the network also evaluates how well its output satisfies the PDE at arbitrary points, including places with no labeled data at all. That's what lets a physics-informed model generalize into sparsely-sampled regions of the design space.

Where the line is drawn

Physics AI is a speed multiplier for exploration, not a replacement for final-physics sign-off. The practical workflow used across the simulators on this platform: