Brown and company launch their campaign at the Basketball Arena tomorrow against defending world and Paralympic champions the USA.
But after agonising fourth-place finishes in Athens eight years ago and then at Beijing 2008, the British squad is geared up to break new ground.
'Mentally, we are there. We know what is expected of us. There is no added pressure. I am not thinking about the history. We want this one to be the Games we medal in,' Brown said.
Although the USA are without some of their star names - notably Mark Zupan and Brian Kirkland - they start as favourites in a medal race that is also likely to feature Britain, Australia and Canada.
Brown added: 'Wheelchair Rugby is like a game of chess. We will make a move, the USA will make a move. We just need to make sure we are the ones who stay one step ahead.
'The crowds are going to be sell-outs, and that is such a buzz. People are seeing Wheelchair Rugby as a priority, and that's great.'
Belgium, France, Japan and Sweden complete the line-up, with teams split into two groups and the top two from each pool securing semi-final status.
Aaron Phipps is Britain's star 3.5-ranked player, and he will be key to British medal hopes.
'Being a 3.5 really spurs me on,' he said. 'I am the new boy (he started playing in 2009) who got told to carry the ball and score all the points. It's great, but it was quite daunting at first.
'I think we can medal. The USA are the best team in the world for a reason, but I think we are fitter than any other team here and that will definitely help us.
After tomorrow's opener, Britain play France on Thursday evening, then Japan on Friday. Both semi-finals are on Saturday, with the final one of the Games' last events on Sunday afternoon.