EP 51 · 1:25:55

The Stefan–Boltzmann law

From The Tech Elon Has Been Waiting For

Episode
20/26
Watch The Tech Elon Has Been Waiting For
Transcript

507 words · auto-generated from the episode video

1:25:57challenge and then see if we can work through with just some like first principles back of the envelope thinking. Okay. The technology poses three advantages. One, let's talk about the physics of thermal radiation. The reason why everyone's saying that it's going to be impossible, right? Thermal radiation is governed by something called the Stefon Boltzman law, which states that the energy that is radiated by a surface at a certain temperature is proportional to the 4th power of that temperature. This is why it's hard. Okay? It's not T^2, it's T 4th. So, if I double the temperature, I'm increasing the amount of power output I need or the the power output

1:26:38that's going going out. um by a factor of 16. >> Okay, now this is actually a good thing. Okay, in the context of this current paper, now standard silicon processors, they've got to be relatively cool to prevent failure, right? But you can only allow that chip with the standard silicon >> um to run at like tops 100° C. At 100° C, right, uh let's say 400 400 Kelvin is the tops that you can do. Um, at 400 Kelvin, the amount of radiation that I'm letting off is going to be some amount, some amount of photons are going off. Now, what if I

1:27:19could make that go up to 700° C, 1,000 Kelvin? So, I've effectively doubled the temperature that I'm working with. Well, the number of photons, the amount of power that I'm dissipating has now gone up by a 16, >> by a factor of 16. If the amount of power per unit area has gone up by a factor of 16, then in order to dissipate the same amount of power, I only need a 16th >> the size of radiator. >> Yeah. >> Yes. The size of the radiator goes down >> the higher the temperature that you can operate. And this is crucial for putting the stuff into space. >> Yeah.

1:27:59>> Right. Because of what you said, it's it's hard to put stuff in pa in space. >> Yes. >> It's hard. It's expensive. I'd like to put less stuff in space. This could be the key, right? Because now I can operate things at a much higher temperature, meaning that the amount of watts that are going out as radiation into space is higher, which means the amount of area that I need for my radiator is smaller. This is so interesting. And it is the it is enabled by this high temperature >> meister >> and the fundamentals that we just walked through that again now give you a different substrate a whole different computing paradigm when you think about the concept of a data center in space.

1:28:40>> Yeah, exactly. And I did some back of the envelope calculations, right? So let's let's say um I need a radiator for a 1 megawatt space server. Okay, that means 1 megawatt of electricity is coming in from my solar panels. Okay,

From the episode
  1. EP 51

    The Tech Elon Has Been Waiting For

    A graphene-based memory device works at 1,300°F, opening new possibilities for extreme-environment electronics, in-memory AI, planetary exploration, and data centers in space.

    The Tech Elon Has Been Waiting For

Materials ScienceSpaceComputing