A Brownian Motion Collector is a nanoscale device that collects energy from random movements present in all objects above 0 kelvin. It converts this heat energy into another form, such as photonic. It should be possible to absorb the kinetic energy of a system over time if it is directed out from the system in a different form.
I picture that such a device would work in a manner similar to that of autowinding watches. They absorb small amounts of energy and convert it into angular momentum. One should be able to position the correct atoms at the correct places of such a nanoscale generator so as to emit energy in the form of electromagnetic radiation.
Such a system should naturally get cold. Since the energy is being transformed from kinetic energy of particles into photons, this doesn't seem to violate any of The Three Laws of Thermodynamics.
Such a device has not yet been constructed. I'm looking forward to its arrival, if it's possible.