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Related Experiment Videos

Collapse in systems with attractive nonintegrable potentials.

I Ispolatov1, E G Cohen

  • 1Center for Studies in Physics and Biology, Rockefeller University, 1230 York Avenue, New York, New York 10021, USA.

Physical Review Letters
|December 12, 2001
PubMed
Summary
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Gravitational-like phase transitions occur in particle systems with attractive potentials. The system

Area of Science:

  • Statistical Mechanics
  • Phase Transitions
  • Gravitational Systems

Background:

  • Investigating phase transitions in systems with attractive potentials is crucial for understanding complex physical phenomena.
  • Previous studies often focused on specific potentials, like the 1/r potential (alpha=1).

Purpose of the Study:

  • To explore the occurrence and characteristics of gravitational-like phase transitions in microcanonical ensembles.
  • To analyze the impact of potential range and cutoffs on system density and phase behavior.

Main Methods:

  • Simulations of microcanonical ensembles with attractive 1/r(alpha) potentials.
  • Analysis of system density under varying cutoff conditions.

Main Results:

Related Experiment Videos

  • Collapse, a gravitational-like phase transition, is observed for all 0
  • Finite density in collapsed phase with short-range cutoff; density singularity without cutoff.
  • Gravitational transition shifts to first-order with increasing cutoff range.

    • Conclusions:

    • The 1/r(alpha) potential exhibits complex phase behavior beyond alpha=1.
    • System density and transition type are sensitive to the effective range of interactions.