$\textcolor{orange}{NLD\ -\ Non\ Linear\ Diffusion}$

• Project on studying Celluar automata(Kinetically Constrained lattice gas) like simulations to study the behaviour of correlation functions at late time in the presence of non-linearity(Non Linear Diffusion).
• Here we have implemented the simulattion in 3 different languages python Julia and Rust in respective order in search for performance gains.
• Rust multi-threaded code seems to be the most stable and as fast as julia multi-threaded one.
• the fastest of all is Julia GPU code with multi-threading.

Language	CPU threading	GPU	O() Time per one standard operation
Python	❌	❌	1 $\mu$ s
Python	✅	❌	0.1 $\mu$ s
Julia	❌	❌	0.1 $\mu$ s
Rust	❌	❌	10 $n$ s
Julia	✅	❌	1 $n$ s
Rust	✅	❌	1 $n$ s
Julia	✅	✅	0.1 $n$ s