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The computational complexity of brute-force simulating many-body quantum systems scales exponentially in the number of particles. There is no supercomputer on e
by fsh 4y ago
The computational complexity of brute-force simulating many-body quantum systems scales exponentially in the number of particles. There is no supercomputer on earth that can simulate a realistic solid.
- aqme28 4y agoAnd you can’t get out of this problem by just simulating e.g. two or three particles. That small of a system can’t simulate things like temperature in a meaningful way.
- pouulet 4y agoThis made me think about this nice little TV show: https://www.imdb.com/title/tt8134186/ https://www.imdb.com/title/tt8134186/
- routeroff 4y agoIt is a very active domain, with lots and lots of techniques to do some clever approximations. Brute forcing is not feasible, even for the simplest systems.
- ncmncm 4y agoIt is anyway a lot easier to simulate a solid that has no defects. But many properties found that way turn up in defect-ridden, real materials too. A truly periodic substrate lets you wrap it in a closed universe just big enough for what you hope to make live in it.