Acta Scientific Applied Physics (ASAP)

Review Article Volume 2 Issue 11

Unsuspected Statistical Traits of Interacting Fermions

A Plastino1* and D Monteoliva1,2

1Instituto de F´ısica La Plata–CCT-CONICET Universidad Nacional de La Plata, Argentina
2Com. de Investigaciones Cient´ıficas Provincia de Buenos Aires, Argentina

*Corresponding Author: A Plastino, Instituto de F´ısica La Plata–CCT-CONICET Universidad Nacional de La Plata, Argentina.

Received: October 20, 2022; Published: October 31, 2022

Abstract

We consider finite numbers N of interacting fermions and address the question of their order- disorder properties.. Two well known fermion-fermion interactions are employed: spin-flip and pairing. The second is responsible for superconductivity. In considering their order-disorder properties we look specially at their dependence on N. One finds that, for special N values, unsuspected features emerge.

Keywords: Interacting Fermions; Nuclear Interactions; Spin-Flip; Superconductivity; Order Properties

References

  1. Pennini F and Plastino A. “Complexity and disequilibrium as telltales of superconductivity”. Physica A 506 (2018): 828-834.
  2. Cervia MJ., et al. “Lipkin model on a quantum computer”. arXiv arXiv:2011.04097 (2021).
  3. Balian R., et al. “Temperature Dependence of Even-Odd Effects in Small Superconducting Systems”. arXiv arXiv:cond-mat/9802006 (1998).
  4. Sedrakian A and Clark JW. “Superfluidity in nuclear systems and neutron stars”. The European Physical Journal A 55 (2019): 167.
  5. Lipkin HJ., et al. “Validity of many-body approximation methods for a solvable model: (I). Exact solutions and perturbation theory”. Nuclear Physics 62 (1965): 188-198.
  6. Lerma HS and Dukelsky J. “The Lipkin-Meshkov-Glick model from the perspective of the SU (1,1) Richardson-Gaudin models”. Journal of Physics Conference Series 492 (2014): 12013.
  7. Providencia C., et al. “The Lipkin Model in Many- Fermion System as an Example of the su (1,1) times su (1,1)-Algebraic Model”. Progress of Theoretical and Experimental Physics 116 (2006): 87-105.
  8. Nolting W. “Fundamentals of Many-Body Physics”. Springer: Berlin/Heidelberg, Germany, (2009).
  9. Cambiaggio MC and Plastino A. “Quasi spin pairing and the structure of the Lipkin Model”. Zeitschrift für Physik A Atoms and Nuclei 288 (1978): 153-159.
  10. Ring P and Schuck P. “The Nuclear Many-Body Problem”. Springer: Berlin/Heidelberg, Germany (1980).
  11. De Llano M., et al. “Multiple phases in a new statistical boson fermion model of superconductivity”. Physica A: Statistical Mechanics and its Applications 317 (2003): 546-564.
  12. Uys H., et al. “Generalized statistics and high-Tc superconductivity”. Physics Letters A 289 (2001): 264-272.
  13. Plastino A Ferri GL and Plastino AR. “Spectral explanation for statistical odd-even staggering in few fermions systems”. Quantum Reports 3 (2021): 166-172.
  14. Plastino A and Moszkowski SM. “Simplified model for illustrating Hartree-Fock in a Lipkin- model problem”. Il Nuovo Cimento A (1965-1970) 47 (1978): 470-474.
  15. L´opez-Ruiz R., et al. “A statistical measure of complexity”. Physics Letters A 209 (1995): 321-326.
  16. L´opez-Ruiz R. “Complexity in some physical systems”. International Journal of Bifurcation and Chaos 11 (2001): 2669-2673.
  17. Rudnicki L., et al. “Monotone measures of statis- tical complexity”. Physics Letters A 380 (2016): 377-380.
  18. L´opez-Ruiz R., et al. “A Statistical Measure of Complexity in Concepts and Recent Advances in Generalized Information Measures and Statistics”. Kowalski, A., Rossig- noli, R., Curado, E.M.C., Eds.; Bentham Science Books: New York, NY, USA, (2013): 147-168.
  19. Rossignoli R and Plastino A. “Thermal effects and the interplay between pairing and shape deformations”. Physical Review C 32 (1985): 1040-1048.
  20. Nigmatullin R and Prokopenko M. “Thermodynamic efficiency of interactions in self-organizing systems”. Entropy 23 (2021): 757.

Citation

Citation: A Plastino and D Monteoliva. “Unsuspected Statistical Traits of Interacting Fermions". Acta Scientific Applied Physics 2.11 (2022): 16-21.

Copyright

Copyright: © 2022 A Plastino and D Monteoliva. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.




Metrics

Acceptance rate32%
Acceptance to publication20-30 days
Impact Factor1.014

Indexed In




News and Events


  • Certification for Review
    Acta Scientific certifies the Editors/reviewers for their review done towards the assigned articles of the respective journals.
  • Submission Timeline for Upcoming Issue
    The last date for submission of articles for regular Issues is July 10, 2024.
  • Publication Certificate
    Authors will be issued a "Publication Certificate" as a mark of appreciation for publishing their work.
  • Best Article of the Issue
    The Editors will elect one Best Article after each issue release. The authors of this article will be provided with a certificate of "Best Article of the Issue"
  • Welcoming Article Submission
    Acta Scientific delightfully welcomes active researchers for submission of articles towards the upcoming issue of respective journals.

Contact US





//