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

Abstract

We present a model system for objects, climbers, which have the ability to move as ASEP particles with non-uniform forward and backward jumping rate dynamics. These climbers are implemented as Mandal-Quan-Jarzynski [1] machines. Climbers on a number of neighboring columns are considered. The low entropy resource is provided abundantly to the first column, the unused part of this resource is consecutively passed over to objects in neighboring columns. This results in a hierarchy among the lanes. The system displays interesting steady-states. Both open and periodic boundary conditions are considered and results 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)