I really haven't heard of differences. Just that atheists don't believe in the supernatural. Is that what you mean?
Some people I've spoken with say that they just made a decision to not believe in religion of any kind.
And others, mostly scientists or kids that grew up in scientific families, saying that, as materialists, they only believed in what they could touch or prove in a laboratory setting as existing. The kids who grew up in that environment that I've spoken with usually pointed to their fathers and/or, in some cases, grandfathers who had made that decision as a result of their work in the sciences.