Brown, just days before his Bucs signing, was accused of throwing a temper tantrum at a guard at the security gate of the fancy Hollywood Oaks private community in the Miami area back on Oct. 15.
In the police report, cops say witnesses told them Brown flipped out when a guard made him come down to let a guest in ... getting so mad, he smashed a security camera.
Cops in the police report also say witnesses told them Brown called the guard a "racist b*tch" and even threw his bicycle at the arm of the guard gate.
AB was NOT arrested over the incident ... cops say in the police report the president of the homeowners association did not want to press charges, allegedly saying she feared Brown "may retaliate against her employees."
The HOA prez has since downplayed the incident, telling the Miami Herald that Brown appeared to simply have "just kind of an emotional reaction."
Arians was asked Wednesday night if he believed the whole thing signals more problems could be on the way soon ... and the coach said he did not feel that way currently.
"I don't really think we're going to have any problems," Arians said. "We haven't had any so far and I really would not anticipate any."
Brown, who inked a 1-year deal with Tampa on Oct. 27, has 10 receptions for 100 yards in his 2 games since he joined the team.