Microprocessor temperature controllers in lab refrigerators function by continuously monitoring and adjusting the internal temperature to maintain precise conditions. These controllers use a microprocessor, which is a small computer on a single integrated circuit, to process input from temperature sensors placed inside the refrigerator. 
The sensors, typically thermocouples or thermistors, detect the current temperature and send this data to the microprocessor. The microprocessor compares the actual temperature with the setpoint, which is the desired temperature programmed by the user. If there is a discrepancy between the actual temperature and the setpoint, the microprocessor calculates the necessary adjustments.
To regulate the temperature, the microprocessor controls the refrigerator's cooling system, which usually consists of a compressor, evaporator, and condenser. If the temperature is higher than the setpoint, the microprocessor activates the compressor to increase cooling. Conversely, if the temperature is too low, it may reduce the compressor's activity or activate a heater if the system includes one, to raise the temperature.
Additionally, microprocessor controllers often feature advanced algorithms, such as PID (Proportional-Integral-Derivative) control, to enhance stability and response time. These algorithms help minimize temperature fluctuations by predicting future temperature changes and adjusting the cooling system accordingly.
The controllers also include user interfaces, such as digital displays and keypads, allowing users to set and monitor temperatures easily. They may offer alarms and data logging capabilities to alert users of temperature deviations and record temperature history for compliance and quality control.
Overall, microprocessor temperature controllers ensure that lab refrigerators maintain a stable and precise environment, crucial for preserving sensitive samples and reagents.