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Ising Paradigm in Isobaric Ensembles.

Claudio A Cerdeiriña1, Jacobo Troncoso1

  • 1Instituto de Física e Ciencias Aeroespaciais da Universidade de Vigo and Unidad MSMN Asociada al CSIC por el IQF Blas Cabrera, 32004 Ourense, Spain.

Entropy (Basel, Switzerland)
|June 26, 2024
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Summary
This summary is machine-generated.

This review explores compressible cell models, including lattice gases and liquids, to understand fluid criticality and water

Keywords:
Ising-like modelsNpT and μpT ensemblesasymmetric fluid criticalitycompressible cellsfreezinglocal entropic effectswater’s unusual thermodynamics

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Area of Science:

  • Statistical Mechanics
  • Thermodynamics
  • Materials Science

Background:

  • Ising-like models with fluctuating cell volumes are studied using NpT and μpT ensembles.
  • Local entropic effects are crucial in these models, alongside volumetric phenomena.

Purpose of the Study:

  • To review recent work on compressible cell models, including compressible cell gases (CCG) and compressible cell liquids (CCL).
  • To explore their application in describing fluid criticality, supercooled water, and liquid-liquid transitions.

Main Methods:

  • Focus on Ising-like models with "compressible cells" of fluctuating volume.
  • Analysis of compressible cell gases (CCG) and compressible cell liquids (CCL) in NpT and μpT ensembles.
  • Incorporation of "ice-like" hydrogen bonding and vacant cells into models.

Main Results:

  • CCGs exhibit singular diameters and "Yang-Yang features" from "complete scaling" in asymmetric fluid criticality.
  • CCL variants serve as prototypes for water-like liquid-liquid criticality and hard sphere freezing.
  • Three-state, BEG-like models derived from CCLs successfully describe water's "second-critical-point scenario" and argon's phase behavior.

Conclusions:

  • Compressible cell models offer a robust framework for understanding complex thermodynamic phenomena.
  • These models provide insights into water's unusual behavior and phase transitions in simple substances.
  • Future research should address water's crystal-fluid phase behavior and metastable states.