Efficiency of energy-consuming random walkers: Variability in energy helps

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Main Authors: Nezhadhaghighi, Mohsen Ghasemi, Ramezanpour, Abolfazl
Format: Preprint
Published: 2024
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author Nezhadhaghighi, Mohsen Ghasemi
Ramezanpour, Abolfazl
author_facet Nezhadhaghighi, Mohsen Ghasemi
Ramezanpour, Abolfazl
contents Energy considerations can significantly affect the behavior of a population of energy-consuming agents with limited energy budgets, for instance, in the movement process of people in a city. We consider a population of interacting agents with an initial energy budget walking on a graph according to an exploration and return (to home) strategy that is based on the current energy of the person. Each move reduces the available energy depending on the flow of movements and the strength of interactions, and the movement ends when an agent returns home with a negative energy. We observe that a uniform distribution of initial energy budgets results in a larger number of visited sites per consumed energy (efficiency) compared to case that all agents have the same initial energy if return to home is relevant from the beginning of the process. The uniform energy distribution also reduces the amount of uncertainties in the total travel times (entropy production) which is more pronounced when the strength of interactions and exploration play the relevant role in the movement process. That is variability in the energies can help to increase the efficiency and reduce the entropy production specially in presence of strong interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07771
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficiency of energy-consuming random walkers: Variability in energy helps
Nezhadhaghighi, Mohsen Ghasemi
Ramezanpour, Abolfazl
Disordered Systems and Neural Networks
Statistical Mechanics
Physics and Society
Energy considerations can significantly affect the behavior of a population of energy-consuming agents with limited energy budgets, for instance, in the movement process of people in a city. We consider a population of interacting agents with an initial energy budget walking on a graph according to an exploration and return (to home) strategy that is based on the current energy of the person. Each move reduces the available energy depending on the flow of movements and the strength of interactions, and the movement ends when an agent returns home with a negative energy. We observe that a uniform distribution of initial energy budgets results in a larger number of visited sites per consumed energy (efficiency) compared to case that all agents have the same initial energy if return to home is relevant from the beginning of the process. The uniform energy distribution also reduces the amount of uncertainties in the total travel times (entropy production) which is more pronounced when the strength of interactions and exploration play the relevant role in the movement process. That is variability in the energies can help to increase the efficiency and reduce the entropy production specially in presence of strong interactions.
title Efficiency of energy-consuming random walkers: Variability in energy helps
topic Disordered Systems and Neural Networks
Statistical Mechanics
Physics and Society
url https://arxiv.org/abs/2411.07771