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Statistical complexity as indicator of the classical-quantum crossover.

M Escobar1, F Pennini1,2, A Plastino3

  • 1Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta, Chile.

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Summary
This summary is machine-generated.

Statistical complexity (C) may indicate when thermodynamic systems transition from classical to quantum behaviors. A maximum in C was observed at a characteristic temperature (Tc) across ideal and van der Waals gases, suggesting C as a quantum crossover proxy.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Quantum Physics

Background:

  • Classical and quantum statistics describe thermodynamic systems differently.
  • Identifying the crossover point where quantum effects emerge is crucial for understanding system behavior.
  • Statistical complexity measures quantify system disorder and structure.

Purpose of the Study:

  • To investigate statistical complexity (C) as an indicator of the classical-to-quantum behavior crossover in thermodynamic systems.
  • To analyze the behavior of C and disequilibrium (D) in ideal and van der Waals gases near quantum regimes.
  • To determine if C can serve as a proxy for detecting quantum effects.

Main Methods:

  • Utilized the López-Ruiz, Mancini, and Calbet (LMC) statistical complexity measure (C).
  • Analyzed C and disequilibrium (D) for ideal and van der Waals gases.
  • Examined system behavior as it approaches quantum statistical significance.

Main Results:

  • Statistical complexity (C) exhibited a well-defined maximum at a characteristic temperature (Tc) for all analyzed models.
  • The numerical value of C at Tc was consistent across different gas models.
  • The van der Waals gas showed a shift in Tc dependent on the excluded volume parameter (b), indicating interaction influence.

Conclusions:

  • Statistical complexity (C) may effectively signal the transition from classical to quantum regimes in thermodynamic systems.
  • The consistent maximum value of C at Tc suggests it captures fundamental structural changes related to quantum emergence.
  • C shows promise as a tool for detecting quantum statistical effects in many-body systems.