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Criterion for determining clustering versus reentrant melting behavior for bounded interaction potentials.

C N Likos1, A Lang, M Watzlawek

  • 1Institut für Theoretische Physik II, Heinrich-Heine-Universität Düsseldorf, Germany. likos@thphy.uni-duesseldorf.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
PubMed
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This study introduces a criterion for predicting system freezing behavior. It determines if systems freeze at all temperatures or exhibit reentrant melting with an upper freezing point.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Physical Chemistry

Background:

  • Understanding phase behavior is crucial in statistical mechanics.
  • Particle interactions significantly influence system properties.
  • Previous models often focused on specific potential types.

Purpose of the Study:

  • To establish a general criterion for system freezing.
  • To identify conditions leading to reentrant melting.
  • To explore phase behavior for repulsive, short-range decaying potentials.

Main Methods:

  • Utilizing mean-field density functional theory.
  • Applying the theory under conditions where it becomes exact (high temperature/density).
  • Analyzing systems with potentials that are finite at the origin and decay rapidly.

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Main Results:

  • A criterion is established to predict freezing behavior.
  • Systems can exhibit freezing at all temperatures.
  • Reentrant melting and an upper freezing temperature are possible phenomena.

Conclusions:

  • The developed criterion offers a general framework for phase behavior prediction.
  • Repulsive, short-range potentials can lead to complex phase diagrams.
  • The findings are applicable to diverse physical systems.