Adhesives including a polyester at 20 to 50 weight percent, a first tackifier at 30 to 60 weight percent, and a first olefin-styrene block copolymer at 5 to 30 weight percent are described. The polyester has a glass transition temperature between −40° C. and −10° C., and the adhesive has a heat activation temperature between 20° C. and 100° C. Damping films including at least one layer of the adhesive and including a foamed layer are described. The foamed layer includes a second olefin-styrene block copolymer at 30 to 80 weight percent and a second tackifier at 15 to 60 weight percent.