How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System

Alioune Aidara Diouf; Bassirou Lo; Abdoulaye Ndiaye Dione; Cheikh Birahim Ndao; Aboubaker Chedikh Béye

doi:doi:10.11648/j.com.20170505.11

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How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System

Alioune Aidara Diouf, Bassirou Lo, Abdoulaye Ndiaye Dione, Cheikh Birahim Ndao, Aboubaker Chedikh Béye

Published in Communications (Volume 5, Issue 5)

Received: 5 January 2018 Accepted: 15 January 2018 Published: 31 January 2018

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Abstract

The effective field theory within a probability distribution technique that accounts for the self-spin correlation functions is used to investigate the dielectrics properties of a nano-octahedral system described by the spin S=1/2 Ising model. The thermal behavior of the polarizations, susceptibilities, and the hysteresis loops are examined in details and even the details to model a ferroelectric system.

Published in	Communications (Volume 5, Issue 5)
DOI	10.11648/j.com.20170505.11
Page(s)	51-57
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Transverse Ising Model, Ferroelectric, Dirac, Hamiltonian, Polarization, Hysteresis, Susceptibility

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APA Style

Alioune Aidara Diouf, Bassirou Lo, Abdoulaye Ndiaye Dione, Cheikh Birahim Ndao, Aboubaker Chedikh Béye. (2018). How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System. Communications, 5(5), 51-57. https://doi.org/10.11648/j.com.20170505.11

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ACS Style

Alioune Aidara Diouf; Bassirou Lo; Abdoulaye Ndiaye Dione; Cheikh Birahim Ndao; Aboubaker Chedikh Béye. How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System. Communications. 2018, 5(5), 51-57. doi: 10.11648/j.com.20170505.11

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AMA Style

Alioune Aidara Diouf, Bassirou Lo, Abdoulaye Ndiaye Dione, Cheikh Birahim Ndao, Aboubaker Chedikh Béye. How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System. Communications. 2018;5(5):51-57. doi: 10.11648/j.com.20170505.11

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@article{10.11648/j.com.20170505.11,
  author = {Alioune Aidara Diouf and Bassirou Lo and Abdoulaye Ndiaye Dione and Cheikh Birahim Ndao and Aboubaker Chedikh Béye},
  title = {How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System},
  journal = {Communications},
  volume = {5},
  number = {5},
  pages = {51-57},
  doi = {10.11648/j.com.20170505.11},
  url = {https://doi.org/10.11648/j.com.20170505.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.com.20170505.11},
  abstract = {The effective field theory within a probability distribution technique that accounts for the self-spin correlation functions is used to investigate the dielectrics properties of a nano-octahedral system described by the spin S=1/2 Ising model. The thermal behavior of the polarizations, susceptibilities, and the hysteresis loops are examined in details and even the details to model a ferroelectric system.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System
AU  - Alioune Aidara Diouf
AU  - Bassirou Lo
AU  - Abdoulaye Ndiaye Dione
AU  - Cheikh Birahim Ndao
AU  - Aboubaker Chedikh Béye
Y1  - 2018/01/31
PY  - 2018
N1  - https://doi.org/10.11648/j.com.20170505.11
DO  - 10.11648/j.com.20170505.11
T2  - Communications
JF  - Communications
JO  - Communications
SP  - 51
EP  - 57
PB  - Science Publishing Group
SN  - 2328-5923
UR  - https://doi.org/10.11648/j.com.20170505.11
AB  - The effective field theory within a probability distribution technique that accounts for the self-spin correlation functions is used to investigate the dielectrics properties of a nano-octahedral system described by the spin S=1/2 Ising model. The thermal behavior of the polarizations, susceptibilities, and the hysteresis loops are examined in details and even the details to model a ferroelectric system.
VL  - 5
IS  - 5
ER  -

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Author Information

Alioune Aidara Diouf

Faculty of Sciences & Techniques, Cheikh Anta Diop University, Dakar, Senegal
Bassirou Lo

Faculty of Sciences & Techniques, Cheikh Anta Diop University, Dakar, Senegal
Abdoulaye Ndiaye Dione

Faculty of Sciences & Techniques, Cheikh Anta Diop University, Dakar, Senegal
Cheikh Birahim Ndao

Faculty of Sciences & Techniques, Cheikh Anta Diop University, Dakar, Senegal
Aboubaker Chedikh Béye

Faculty of Sciences & Techniques, Cheikh Anta Diop University, Dakar, Senegal

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Plain Text BibTeX RIS

APA Style

Alioune Aidara Diouf, Bassirou Lo, Abdoulaye Ndiaye Dione, Cheikh Birahim Ndao, Aboubaker Chedikh Béye. (2018). How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System. Communications, 5(5), 51-57. https://doi.org/10.11648/j.com.20170505.11

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ACS Style

Alioune Aidara Diouf; Bassirou Lo; Abdoulaye Ndiaye Dione; Cheikh Birahim Ndao; Aboubaker Chedikh Béye. How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System. Communications. 2018, 5(5), 51-57. doi: 10.11648/j.com.20170505.11

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AMA Style

Alioune Aidara Diouf, Bassirou Lo, Abdoulaye Ndiaye Dione, Cheikh Birahim Ndao, Aboubaker Chedikh Béye. How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System. Communications. 2018;5(5):51-57. doi: 10.11648/j.com.20170505.11

Copy | Download

@article{10.11648/j.com.20170505.11,
  author = {Alioune Aidara Diouf and Bassirou Lo and Abdoulaye Ndiaye Dione and Cheikh Birahim Ndao and Aboubaker Chedikh Béye},
  title = {How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System},
  journal = {Communications},
  volume = {5},
  number = {5},
  pages = {51-57},
  doi = {10.11648/j.com.20170505.11},
  url = {https://doi.org/10.11648/j.com.20170505.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.com.20170505.11},
  abstract = {The effective field theory within a probability distribution technique that accounts for the self-spin correlation functions is used to investigate the dielectrics properties of a nano-octahedral system described by the spin S=1/2 Ising model. The thermal behavior of the polarizations, susceptibilities, and the hysteresis loops are examined in details and even the details to model a ferroelectric system.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - How to Model an Ising Ferroelectric System: Case of the Investigation of the Dielectrics Properties of a Nano-Octahedral Ferroelectric System
AU  - Alioune Aidara Diouf
AU  - Bassirou Lo
AU  - Abdoulaye Ndiaye Dione
AU  - Cheikh Birahim Ndao
AU  - Aboubaker Chedikh Béye
Y1  - 2018/01/31
PY  - 2018
N1  - https://doi.org/10.11648/j.com.20170505.11
DO  - 10.11648/j.com.20170505.11
T2  - Communications
JF  - Communications
JO  - Communications
SP  - 51
EP  - 57
PB  - Science Publishing Group
SN  - 2328-5923
UR  - https://doi.org/10.11648/j.com.20170505.11
AB  - The effective field theory within a probability distribution technique that accounts for the self-spin correlation functions is used to investigate the dielectrics properties of a nano-octahedral system described by the spin S=1/2 Ising model. The thermal behavior of the polarizations, susceptibilities, and the hysteresis loops are examined in details and even the details to model a ferroelectric system.
VL  - 5
IS  - 5
ER  -

Copy | Download