Second law for an autonomous information machine connected with multiple baths

Shubhashis Rana

Published 2017-04-27Version 1

When a system is attached to an information reservoir, then its dynamics will be affected by that reservoir. A sequence of bits written on a tape can be considered as an information reservoir. Second law of thermodynamics can be apparently violated for this case. Recently Merhav has derived the second law when a system is connected to a heat bath, work source and information reservoir. He has showed that the extracted work during any time interval is restricted by the change of Shannon entropy of the joint system of information reservoir and system during that interval. In the present article, we have generalized this law when the system is connected with multiple baths. We have also given several examples where this law can be applicable.