Thermostatically is typically used to describe a process or device that is controlled by a thermostat. However, there are a few other words that could be used as synonyms in certain contexts. For example, the word "automatically" could be used to describe a device that adjusts its temperature without the need for manual intervention. The word "precisely" could be used to describe a process that is regulated with great accuracy. Additionally, the word "temperature-controlled" could be used to convey the same meaning as thermostatically, particularly in the context of a room or building that is regulated to a certain temperature. Overall, there are a few different words that could be used interchangeably with thermostatically depending on the situation.