A phrase used to describe the sudden flood of ideas and inspiration to write, either a backstory, a story, or some other action of making literature. Can be a short flood or long term, depends of what you're writing.
"I know I have to do the dishes but I have writers eureka and I need to put all my ideas down."
"I don't have time, this writer's eureka doesn't last all day!"
"Jenna hasn't come out of her room, you think she has writer's eureka?"