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We present a model system for objects, climbers, which have the ability tomove as ASEP particles with non-uniform forward and backward jumping ratedynamics. These climbers are implemented as Mandal-Quan-Jarzynski [1] machines.Climbers on a number of neighboring columns are considered. The low entropyresource is provided abundantly to the first column, the unused part of thisresource is consecutively passed over to objects in neighboring columns. Thisresults in a hierarchy among the lanes. The system displays interestingsteady-states. Both open and periodic boundary conditions are considered andresults from Monte Carlo simulations of the system will be reported.  [1] D. Mandal, H. T. Quan, and C. Jarzynski, Phys. Rev. Lett. 111, 030602(2013)

A Hierarchy of Multi-Lane "Entropy Machines" with Unfair Resource Availability