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Polymorphic phase transitions in systems evolving in a two-dimensional discrete space.

A Gadomski1

  • 1Department of Theoretical Physics, Institute of Mathematics and Physics, University of Technology and Agriculture, 85-796 Bydgoszcz, Aleja Kaliskiego 7, Poland.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Polymorphic phase transitions in 2D systems are driven by thermal and quantum energies, leading to distinct melting and solidification behaviors. A critical "tetratic" phase emerges at a Bose-Einstein singularity, analogous to Kosterlitz-Thouless transitions.

Area of Science:

  • Complex systems
  • Soft matter physics
  • Phase transitions

Background:

  • Polymorphic phase transitions are fundamental in various physical systems.
  • Understanding these transitions in discrete 2D spaces is crucial for soft matter applications.
  • Existing models often lack a comprehensive explanation for the interplay of thermal and quantum effects.

Purpose of the Study:

  • To investigate the driving forces behind polymorphic phase transitions in 2D discrete systems.
  • To analyze the roles of thermal activation and quantum contributions in these transitions.
  • To explore the emergence of intermediate phases and their analogies to known physical phenomena.

Main Methods:

  • Theoretical modeling of phase transitions in 2D discrete systems.

Related Experiment Videos

  • Analysis of energetic contributions: thermal activation and quantum effects.
  • Morphological phase diagram analysis, including fractal dimension calculations.
  • Comparison with Bose-Einstein statistics and Kosterlitz-Thouless transitions.

    • Main Results:

    • Identified distinct high-temperature (expansion/melting) and low-temperature (contraction/solidification) regimes.
    • Discovered a critical "tetratic" phase at a singularity point, linked to fractal dimension dw=2.
    • Established analogies between these 2D transitions and Kosterlitz-Thouless type equilibrium phase transitions.
    • Characterized object contours as fractional Brownian paths in superlinear (dw<2) and sublinear (dw>2) regimes.

    Conclusions:

    • The study provides a framework for understanding polymorphic transitions in soft matter systems.
    • The interplay of thermal and quantum effects dictates system behavior across different temperature regimes.
    • The identified "tetratic" phase offers new insights into complex system dynamics and phase behavior.