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Thermal-Statistical Odd-Even Fermions' Staggering Effect and the Order-Disorder Disjunction.

Flavia Pennini1,2, Angelo Plastino3, Angel Ricardo Plastino4

  • 1Departamento de Física, Universidad Católica del Norte, Av. Angamos 0610, Antofagasta 3580000, Chile.

Entropy (Basel, Switzerland)
|November 27, 2021
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Summary
This summary is machine-generated.

We explore thermal-statistical effects on the odd-even staggering in fermions at finite temperatures. This study introduces novel thermal odd-even staggering concepts not previously found in nuclear physics literature.

Keywords:
odd–even staggering effectorder–disorderstatistical quantifiers

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Area of Science:

  • Nuclear Physics
  • Quantum Mechanics
  • Thermodynamics

Background:

  • The odd-even staggering (OES) effect is a well-established phenomenon in nuclear binding energies at zero temperature.
  • This effect describes the alternating trend in binding energies between nuclei with even and odd numbers of nucleons.

Purpose of the Study:

  • To review and introduce thermal-statistical considerations for the odd-even staggering effect in fermions.
  • To explore a thermal OES at finite temperatures and its connection to order-disorder transitions.
  • To present novel thermal considerations for OES not previously documented in nuclear literature.

Main Methods:

  • Review of existing thermal-statistical frameworks.
  • Theoretical analysis of fermion systems at finite temperatures.
  • Exploration of the relationship between thermal OES and order-disorder phenomena.

Main Results:

  • Established thermal-statistical considerations for the odd-even staggering effect in fermions.
  • Demonstrated a thermal OES at finite temperatures.
  • Linked the thermal OES to order-disorder transitions.

Conclusions:

  • Thermal-statistical approaches provide new insights into the odd-even staggering effect.
  • The concept of thermal OES offers a novel perspective on fermion behavior at finite temperatures.
  • This work opens new avenues for research at the intersection of nuclear physics and thermodynamics.