How does the velocity of motion of a Brownian particle change with decreasing temperature?

Temperature is a measure of the average speed of molecules. The speed of a Brownian particle will decrease, since the speed of the molecules striking it will decrease. The ambient temperature, which is higher than the temperature of the particle, gives this particle additional energy in the form of heat. The particle needs to put this energy somewhere, and it spends it on increasing the speed. If the ambient temperature is lower than the temperature of the particle, then on the contrary, it takes this energy from it, and the particle moves more slowly.

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