Heat Flow in a Periodically Forced, Thermostatted Chain

We investigate the properties of a harmonic chain in contact with thermal bath at one end and subjected, its other end, to periodic force. The particles also undergo random velocity reversal action, which results finite heat conductivity system. prove approach system time state compute current, equal averaged work done on system, that state. This approaches positive value as length increases. Rescaling space, strength and/or period force leads macroscopic temperature profile corresponding stationary solution continuum equation Dirichlet-Neumann boundary conditions.