Simple model for transport phenomena: microscopic construction of Maxwell demonlike engine

We present a microscopic Hamiltonian framework to develop Maxwell demonlike engine. Our model consists of an equilibrium thermal bath and a nonequilibrium bath, latter generated by driving with an external stationary, Gaussian noise. The engine we develop can be considered as a device to extract work by modifying internal fluctuations. Our theoretical analysis focuses on finding the essential ingredients necessary for generating fluctuation induced transport under nonequilibrium condition. An important outcome of our model is that the net motion occurs when the nonlinear bath is modulated by the external noise, creating the nonzero effective temperature even when the temperature of both the baths are the same.