The easiest and most most acceptable solution to that is earbuds/earphones. Put music on, put rain sounds on. If someone comes up to you to talk about non-work stuff decide whether it's a good time to take a quick break or to breifly explain; I'm busy, man.
I've got the same layout at work and I'm even the go-to tech support guy, but when I want to get shit done I'm not afraid to tell anyone to stop bothering me.