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From engines to nanochips: Âé¶¹ÒùÔºicists redefine how heat really moves

From engines to nanochips: Scientists redefine how heat really moves
3D plots of the temperature field's evolution over time and space in natural Si crystals at (a) 300, (b) 200, (c) 100, (d) 50, and (e) 30 K. The evolution of T ( x , t ) is solved using Eq. (17), with the Z ( t ) from Fig. 1 as input. (f) Snapshots of the temperature profile (solid lines) in natural silicon crystals at 30 K, taken every 100ps over a total period of 1000 ps. The peak positions of the temperature profiles are linearly fitted as a function of time, yielding a wave propagation speed of 2134 m/s. The decay in peak heights is fitted with an exponential function, with a time constant of 2993 ps. Credit: Âé¶¹ÒùÔºical Review B (2025). DOI: 10.1103/p8wg-p1j3

Heat has always been something we thought we understood. From baking bread to running engines, the idea seemed simple: heat spreads out smoothly, like water soaking through a sponge. That simple picture, written down by Joseph Fourier 200 years ago, became the foundation of modern science and engineering.

But zoom into the nanoscale—inside the chips that power your smartphone, AI hardware, or next-generation solar panels—and the story changes. Here, heat doesn't just "diffuse." It can ripple like , remember its past, or flow in elegant streams like a fluid in a pipe. For decades, scientists had pieces of this puzzle but no unifying explanation.

Now, researchers at Auburn University and the U.S. Department of Energy's National Renewable Energy Laboratory have delivered what they call a "unified statistical theory of heat conduction."

"Fourier's law was written 200 years ago; this breakthrough rewrites the rules for how heat conducts in the nanoscale and ultrafast world of today," said Prof. Jianjun (JJ) Dong, Thomas and Jean Walter Professor of Âé¶¹ÒùÔºics at Auburn University.

The new theory, recently in Âé¶¹ÒùÔºical Review B, links the chaotic jiggling of atoms—the vibrations that carry heat—to the strikingly unusual ways heat moves in tiny, complex materials. Instead of relying on fragmented models for different scenarios, Dong and co-author Dr. Yi Zeng (National Renewable Energy Laboratory) developed a single comprehensive framework that explains it all: diffusion, waves, ballistic transport, and the quirky behavior at interfaces between materials.

To imagine this, think of a city's traffic. For centuries, engineers assumed all cars (heat) moved like steady flows on highways. But in reality, some streets are jammed, others flow with stop-and-go memory, and whether you slow down here depends on the traffic that passed a moment ago. The corridors carry echoes of earlier surges. Some are wide-open expressways where vehicles race ballistically. Dong and Zeng's theory is like inventing the ultimate traffic map that captures every pattern in one view.

Why does this matter? Because as our devices shrink and demands grow, heat has become as critical as electricity. Overheated chips limit performance, waste energy, and shorten device lifetimes. A predictive theory of heat flow opens the door to smarter design of nanochips, AI processors, and advanced energy technologies.

"Heat doesn't just disappear into the background—it's the hidden player that determines whether future technologies will run faster, cooler, and more sustainably," Dong explained.

The work, which includes one manuscript currently under review and on the arXiv preprint server and the Âé¶¹ÒùÔºical Review B paper discussed here, also has implications beyond electronics. The framework can extend to magnetic, spin, and electronic transport, potentially guiding the design of materials for quantum computing and energy storage.

In short, a two-century-old law has been updated for the ultrafast and nanotech age—bringing clarity to one of physics' hottest problems.

More information: David E. Crawford et al, Time-domain theory of transient heat conduction in the local limit, Âé¶¹ÒùÔºical Review B (2025).

Yi Zeng et al, Unified Statistical Theory of Heat Conduction in Nonuniform Media, arXiv (2025).

Journal information: Âé¶¹ÒùÔºical Review B , arXiv

Provided by Auburn University

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