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Related Experiment Videos

Thermodynamically reversible generalization of diffusion limited aggregation.

R M D'Souza1, N H Margolus

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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This study introduces a lattice gas model demonstrating how self-organization and dissipation emerge from reversible microscopic dynamics. The model shows clusters evolving from diffusion-limited aggregation to annealed structures, with reversible entropy flow.

Area of Science:

  • Statistical Mechanics
  • Complex Systems
  • Self-Organization

Background:

  • The irreversible diffusion limited aggregation (DLA) model describes cluster growth but lacks microscopic reversibility.
  • Understanding how macroscopic dissipation and self-organization arise from reversible dynamics is a key challenge.

Purpose of the Study:

  • Introduce a lattice gas model with reversible dynamics to study cluster growth.
  • Investigate the relationship between microscopic reversibility and macroscopic emergent phenomena like dissipation and self-organization.
  • Analyze the annealing process and equilibrium states of clusters.

Main Methods:

  • Developed a lattice gas model with deterministic, microscopically reversible dynamics.
  • Simulated cluster growth with particle aggregation and heat exchange with a heat bath.

Related Experiment Videos

  • Quantified cluster morphology using fractal dimension and analyzed scaling behavior.

    • Main Results:

    • Clusters initially resemble DLA but anneal towards a branched polymer morphology at equilibrium.
    • Observed entropy flow from the aggregating particles to the heat bath.
    • Demonstrated the reversibility of the process, allowing recovery of initial conditions.
    • Characterized the approach to equilibrium as an initial rapid nonequilibrium process followed by a quasistatic phase.

    Conclusions:

    • Macroscopic dissipation and self-organization can arise from underlying microscopically reversible dynamics.
    • The model provides an explicit example of entropy flow and self-organization.
    • The system exhibits distinct nonequilibrium and quasistatic phases during relaxation to maximum entropy.