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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Condensation in zero-range processes on inhomogeneous networks.

B Waclaw1, L Bogacz, Z Burda

  • 1Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany. bwaclaw@th.if.uj.edu.pl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2007
PubMed
Summary
This summary is machine-generated.

Inhomogeneities in networks drive condensation in zero-range processes. The condensate

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Area of Science:

  • Statistical Physics
  • Network Dynamics
  • Complex Systems

Background:

  • Zero-range processes (ZRPs) are fundamental models for particle systems.
  • Condensation in ZRPs typically occurs when particles accumulate at a single site.
  • Understanding factors influencing condensation is crucial for complex system dynamics.

Purpose of the Study:

  • To investigate the impact of network inhomogeneities on condensation dynamics in ZRPs.
  • To determine how a highly connected node influences condensate formation and stability.
  • To analyze the relationship between network structure and condensate properties.

Main Methods:

  • Simulations of ZRPs on networks with a single high-degree node.
  • Analysis of particle distribution and condensation behavior.
  • Mathematical modeling of condensate melting times.

Main Results:

  • Condensation is triggered by network inhomogeneity, specifically the ratio of high-degree to typical-degree nodes (k1/k).
  • The condensate size can oscillate significantly, despite averaging an extensive number of particles.
  • Strong inhomogeneities lead to exponentially increasing condensate melting times with particle number.

Conclusions:

  • Network structure, particularly degree distribution, plays a critical role in ZRP condensation.
  • Inhomogeneities can stabilize condensates, making them more persistent.
  • These findings have implications for understanding emergent phenomena in networked systems.