Studying Interesting programming project in physics -- ideas requested

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The discussion centers on finding a manageable programming project related to physics or abstract mathematics for a bachelor's student in theoretical physics. The student seeks a task that is engaging and visually appealing, moving beyond basic numerical PDE solving. They have experience with C, Python, C++, and Haskell, and express interest in topics like field theory, quantum mechanics, differential geometry, and topology. A suggested project is programming the 2D Ising model, which allows for exploration of temperature changes and their effects on system behavior. However, the student is concerned this may be too simple for a term project. They also consider more advanced topics like parallel programming with CUDA, tensor networks, or DMRG, indicating a desire for a project that is both challenging and relevant to their studies.
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I'm looking for some non-big project related to physics or/and abstract math.
It firstly should be a good programming task(since its my programming credit)
Bachelor student in theoretical physics. Not bad at C and Python, a bit of C++ and Haskell. Interested in field theory, quantum stuff, diff geometry and topology.
Open to anything (somehow related to physics/math) if it seems interesting(at least colorful, since I'll have to represent it). A bit tired of numerical (P)DE solving.

The term before I was modeling double pendulum - so I'm looking for something more advanced.
I have about 1-2 week to actually develop it that's why non-big.
 
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One simulation that I found really interesting is to program the 2D Ising model. Once you have it coded up, which is fairly straightforward, it is really interesting to change the temperature and see the different behaviors.
 
phyzguy said:
One simulation that I found really interesting is to program the 2D Ising model. Once you have it coded up, which is fairly straightforward, it is really interesting to change the temperature and see the different behaviors.
I guess it is too small for term credit project. If only consider some parallel coding like CUDA inside. It looks interesting for me too, but I am not sure if it advanced enough.
 
Maybe something with tensor networks or DMRG.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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