AMONG the significant dates in the history of Kahlúa, the Mexican coffee liqueur, surely March 6, 1998, rates a mention.

That was the release date of “The Big Lebowski,” the Coen Brothers movie about an aging slacker who calls himself the Dude, and who, after a thug urinates on his prized rug, becomes caught up in a Chandleresque mystery.

Played with slouchy brio by Jeff Bridges, the Dude’s chief pursuits involve bowling, avoiding work and drinking White Russians, the sweet cocktail made with vodka, Kahlúa and cream or milk.

The movie was a flop when it was released, but in the decade since, “The Big Lebowski” has attracted a cult following, and as the film’s renown has grown, so has the renown of the White Russian, or, as the Dude calls them, “Caucasians.” The drink is the subject of experimentation at cutting-edge bars like Tailor, in SoHo, which serves a crunchy dehydrated version  a sort of White Russian cereal. The British electro-pop band Hot Chip, meanwhile, recently invented a variation named the Black Tarantula. Not long ago, the cocktail was considered passé and often likened, in its original formula, to an alcoholic milkshake.