Described are improved apparatus and devices for intermittently and sequentially compressing a body site and methods for using said apparatus and devices, especially for site specific treatment to achieve a desired temperature of the underlying tissue. The apparatus includes a first segment cooperative with a fluid chamber, the fluid chamber adapted for inflation by fluid； and a second segment cooperative with the first segment, the second segment housing a temperature sensitive material, wherein the temperature sensitive material is uniquely compartmentalized in the second segment.
