Prompt
"Generate an image representing Fermi–Dirac statistics, a concept in statistical mechanics, with a visualization of the distribution of particles over energy states, possibly incorporating elements that reflect its application to fermions, such as electrons, protons, and neutrons, and its contrast with Bose–Einstein statistics, in a style that could be used in a physics or quantum mechanics textbook, specifically highlighting the mathematical formula f(E) = 1 / (exp[(E-μ)/kT] + 1) and its relevance to fields like solid-state physics, astrophysics, and quantum mechanics."
