A parent's failure to provide any financial assistance to or communicate with his or her child over a period of time. When this happens, a court may deem the child abandoned by that parent and order that person's parental rights terminated. Abandonment also describes situations in which a child is physically abandoned -- for example, left on a doorstep, delivered to a hospital or put in a trash can. Physically abandoned children are usually placed in orphanages and made available for adoption.