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Setting Limits on Supersymmetry Using Simplified Models
07:46

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Published on: November 15, 2013

Counterintuitive ground states in soft-core models.

Henry Cohn1, Abhinav Kumar

  • 1Microsoft Research New England, One Memorial Drive, Cambridge, Massachusetts 02142, USA. cohn@microsoft.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

Statistical mechanics models show complex ground states in low dimensions. Researchers disproved a conjecture, finding lower-energy non-Bravais lattices in the Gaussian core model for dimensions 5 and 7.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Materials science

Background:

  • High-dimensional systems in statistical mechanics are known for complex behaviors.
  • The Gaussian core model is a natural soft-core system studied for its physical properties.

Purpose of the Study:

  • To investigate the ground states of soft-core models in various dimensions.
  • To test the conjecture by Torquato and Stillinger regarding Bravais lattices in the Gaussian core model.

Main Methods:

  • Computational analysis of the Gaussian core model.
  • Exploration of lattice structures in dimensions 2 through 8.

Main Results:

  • Disproved the conjecture that dilute ground states are exclusively Bravais lattices.
  • Identified lower-energy non-Bravais lattices in dimensions 5 and 7 for the Gaussian core model.
  • Observed phenomena related to decorrelation in high dimensions.

Conclusions:

  • Ground states of soft-core models can be unexpectedly complex, even in low dimensions.
  • Non-Bravais lattices can represent lower-energy configurations than predicted.
  • The findings suggest widespread complexity in high-dimensional systems.