Maxwell’s Demon

In a paper published in Entropy, Assistant Professor Zhiyue Lu introduces and investigates a simple and explicitly mechanical model of Maxwell’s demon, a device that interacts with a memory register, a stream of bits, a thermal reservoir, an ideal gas, and a work reservoir, a mass that can be lifted or lowered.

The device described in this work is similar to one that the author have briefly described elsewhere, but it has the additional feature that it can be programmed to recognize a chosen reference sequence, for instance, the binary representation of π. If the bits in the memory register match those of the reference sequence, then the device extracts heat from the thermal reservoir and converts it into work to lift a small mass. Conversely, the device can operate as a generalized Landauer’s eraser, or copier, harnessing the energy of a dropping mass to write the chosen reference sequence onto the memory register, replacing whatever information may previously have been stored there.

The model described in this publication can be interpreted either as a machine that autonomously performs a conversion between information and energy, or else as a feedback-controlled device that is operated by an external agent. Derived generalized second laws of thermodynamics for both pictures are discussed. Also, the article illustrates the model with numerical simulations, as well as analytical calculations in a particular, exactly solvable limit.