MIT researchers utilize waste heat to perform mathematical calculations
Researchers at MIT have found an unexpected way to make use of something electronics usually try hard to get rid of: heat. Instead of treating excess heat as a problem, the team showed that it can be used to carry out certain mathematical operations on its own, without any additional electrical power.

The work focuses on silicon structures that are only about the size of a dust particle. These structures don’t contain transistors or moving parts. Instead, they rely entirely on how heat naturally flows through solid material. According to the researchers, that flow can be shaped carefully enough to perform matrix-vector multiplication, a core operation used in many machine-learning models.
The study was led by MIT undergraduate Caio Silva, working with research scientist Giuseppe Romano. In simulations, the heat-based structures were able to carry out the calculations with accuracy above 99 percent
Here’s how it works
The key idea is that temperature differences act as inputs, and the resulting heat diffusion produces the output automatically.

To make this work, the researchers used a design approach known as inverse design. Rather than sketching the structures manually, they defined the mathematical operation they wanted and let software generate complex silicon geometries that would guide heat in just the right way. Many of these designs end up looking irregular and porous, but every feature plays a role in controlling how heat spreads. Because heat can only flow from hot regions to cooler ones, the team also had to split calculations into positive and negative parts and process them separately.
This isn’t meant to replace conventional processors. Heat moves much more slowly than electrical signals, and the structures can only perform fixed operations. But the idea could be useful in very specific situations, such as passive thermal sensing, on-chip temperature mapping, or simple signal processing that doesn’t justify extra power consumption.
As Silva noted, most electronic systems see heat as wasted energy. This work takes the opposite view and asks whether that heat can be made to do something useful before it disappears.
It’s still early research, but it offers a different way of thinking about computation, one where heat isn’t just a side effect, but part of the process itself.
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