Is there a term for this wandering behavior?

Wandering seems to be defined as aimless wandering or getting lost. Then there is fleeing, flight risk or flight due to a perceived threat. What about the person that knows exactly where their going, and they return on their own, but their reason for leaving is delusional? For instance the person may think the have information for the police, they leave on foot and head to the police station, and return on their own. Is that wandering? I want to relay the behavior correctly to the doctor, and the lawyer. Is there a term for this behavior? So far I call it acting on delusions and hallucinations.