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

TL;DR

This paper introduces a hierarchical model of multi-lane entropy machines with unfair resource distribution, demonstrating steady-state behaviors through Monte Carlo simulations and exploring the dynamics of climbers modeled as ASEP particles.

Contribution

It presents a novel hierarchical system of entropy machines with non-uniform resource allocation, analyzed via Monte Carlo simulations, extending previous models of ASEP particles and Mandal-Quan-Jarzynski machines.

Findings

System exhibits interesting steady-states.

Hierarchy emerges from resource passing among lanes.

Results differ under open and periodic boundary conditions.

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)