Prompt

"Generate an image representing the Gibbs distribution, also known as the Boltzmann distribution, in a mathematical or physical context. Depict a stylized, abstract visualization of a probability distribution, possibly as a 3D surface or a heatmap, with axes labeled energy (E) and probability (P), and a temperature parameter (T) influencing the curve. Incorporate elements that evoke statistical mechanics, such as a subtle background pattern resembling a lattice or a thermodynamic system. Utilize a color scheme that conveys a sense of thermal energy, like warm colors (e.g., reds, oranges) for high probability regions and cool colors (e.g., blues) for low probability areas. The style should be reminiscent of mathematical illustrations, with clean lines, simple shapes, and a focus on conveying the conceptual relationships between the Gibbs distribution's parameters."

Image by stabilityai/stable-diffusion-3.5-large-turbo