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Complex Networks and Interacting Particle Systems.

Noam Abadi1, Franco Ruzzenenti1

  • 1Integrated Research on Energy, Environment and Society (IREES), Energy and Sustainability Research Institute Groningen (ESRIG), University of Groningen, Nijenborgh 6, 9747 AG Groningen, The Netherlands.

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This summary is machine-generated.

Researchers linked molecular interactions to network structure using a Lennard-Jones potential. This approximation simplifies calculations and reveals insights into complex systems and their stability.

Keywords:
Lennard-Jonescomplex networksinteracting systemsmaximum entropystatistical physics

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Area of Science:

  • Complex systems analysis
  • Statistical mechanics
  • Network science

Background:

  • Complex networks study large interacting systems and their emergent structures.
  • Understanding the relationship between system interactions and network topology is a key goal.
  • Lennard-Jones potentials model interactions in physical systems.

Purpose of the Study:

  • To interpret the physical arrangement of interacting particles as a binary approximation of the interaction potential.
  • To simplify partition function calculations for Lennard-Jones systems.
  • To connect molecular system interactions directly with their resulting network structure.

Main Methods:

  • Utilized a Lennard-Jones particle system as a model.
  • Interpreted physical structure as a binary approximation of the interaction potential.
  • Compared simulation results with calculations from the approximated partition function.

Main Results:

  • The physical arrangement of particles approximates the interaction potential.
  • This approximation simplifies partition function calculation and enables stability analysis.
  • Network and system perspectives were shown to complement each other.

Conclusions:

  • A direct link between molecular interactions and network structure was established.
  • The method's effectiveness in describing the system was assessed.
  • Advantages, limitations, and potential extensions for weighted and general systems were discussed.