Fig. 1.
Two coupled beads at different temperatures. a An illustration of the model with the red bead immersed in a hot temperature bath Th and the blue bead immersed in a cold temperature bath Tc. Three springs with equal spring constant k connected the beads and the walls. Displacements away from the equilibrium position of the hot and cold beads are denoted by x1 and x2, respectively. b The steady-state probability density and current as a function of bead displacements for spring constant k = 1, friction γ = 1, and thermal energy scales kBTc = 25 and kBTh = 250. c The local entropy production rate calculated from Eq. (7) of the system as a function of bead displacements for the same parameters