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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Computational Materials Science

Background:

  • Classical ground states of many-particle systems are typically unique crystalline structures with zero entropy.
  • Known disordered classical ground states are generally high-entropy and highly degenerate.
  • The Kauzmann entropy crisis describes the theoretical point where supercooled liquid entropy drops below crystal entropy.

Purpose of the Study:

  • To investigate the nature of ground states in a novel "perfect-glass" many-particle model.
  • To determine if disordered classical ground states can possess zero entropy.
  • To explore the implications of zero-entropy disordered ground states for fundamental physics and applications.

Main Methods:

  • Computational simulations of the "perfect-glass" many-particle model.
  • Analysis of system sizes, parameters, and space dimensions.
  • Comparison of simulation results with harmonic approximation calculations.

Main Results:

  • The "perfect-glass" model exhibits disordered classical ground states with zero entropy.
  • These disordered ground states are unique and superposable, even with their mirror images.
  • Low-energy density of states from simulations align with harmonic approximation predictions, confirming ground-state uniqueness.

Conclusions:

  • Discovery of the first examples where entropy and disorder are contradictory.
  • Zero-entropy ground states offer a new perspective on the Kauzmann entropy crisis.
  • Unique disordered patterns have potential applications in cryptography as pseudorandom functions.