Complex Networks and Interacting Particle Systems

Noam Abadi*, Franco Ruzzenenti

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

Complex networks is a growing discipline aimed at understanding large interacting systems. One of its goals is to establish a relation between the interactions of a system and the networks structure that emerges. Taking a Lennard-Jones particle system as an example, we show that when interactions are governed by a potential, the notion of structure given by the physical arrangement of the interacting particles can be interpreted as a binary approximation to the interaction potential. This approximation simplifies the calculation of the partition function of the system and allows to study the stability of the interaction structure. We compare simulated results with those from the approximated partition function and show how the network and system perspective complement each other. With this, we draw a direct connection between the interactions of a molecular system and the network structure it forms and assess the degree to which it describes the system. We conclude by discussing the advantages and limitations of this method for weighted networks, as well as how this concept might be extended to more general systems.

Original languageEnglish
Article number1490
Number of pages17
JournalEntropy
Volume25
Issue number11
DOIs
Publication statusPublished - Nov-2023

Keywords

  • complex networks
  • interacting systems
  • Lennard-Jones
  • maximum entropy
  • statistical physics

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