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Semiclassical thermodynamic geometry.

L F Escamilla-Herrera1, J L López-Picón1, José Torres-Arenas1

  • 1División de Ciencias e Ingenierías Campus León, Universidad de Guanajuato, AP E-143, CP 37150, León, Guanajuato, México.

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This study analyzes thermodynamic geometry (TG) in semiclassical fluids. Quantum effects in hard-sphere models avoid anomalies seen in classical systems, and square-well models show unique curvature behaviors with changing quantum contributions.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Quantum Fluids

Background:

  • Thermodynamic geometry (TG) provides insights into fluid behavior.
  • Classical hard-sphere fluids exhibit anomalies in TG related to scalar curvature sign.
  • Understanding semiclassical fluid behavior requires incorporating quantum effects.

Purpose of the Study:

  • To analyze the thermodynamic geometry of semiclassical fluids.
  • To investigate how quantum contributions affect TG anomalies.
  • To explore the behavior of semiclassical square-well fluids and their curvature properties.

Main Methods:

  • Path-integral Monte Carlo simulations to determine Helmholtz free energy for semiclassical hard-sphere (SCHS) fluids.
  • Analysis of scalar curvature in semiclassical fluids.
  • Comparison of semiclassical and classical fluid behaviors across different thermodynamic conditions.

Main Results:

  • Quantum contributions in SCHS fluids avoid TG anomalies observed in classical hard-sphere systems over a significant thermodynamic range.
  • The semiclassical curvature scalar's behavior was analyzed concerning the thermal de Broglie wavelength for square-well fluids.
  • Semiclassical R Widom lines were described and compared to classical systems.

Conclusions:

  • Quantum effects significantly alter the thermodynamic geometry of fluids, mitigating classical anomalies.
  • Semiclassical models offer a richer understanding of fluid behavior, particularly in systems with attractive interactions.
  • The study provides a framework for analyzing quantum fluid properties using thermodynamic geometry.