Secondary Phase Transition of Ising Model

You-Gang Feng

doi:doi:10.11648/j.ajmp.20140304.15

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Secondary Phase Transition of Ising Model

You-Gang Feng

Published in American Journal of Modern Physics (Volume 3, Issue 4)

Received: 18 July 2014 Accepted: 29 July 2014 Published: 10 August 2014

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Abstract

Lttice-spin phonons are considered, which make the heat capacity at the critical temperature satisfy experimental observations better. There is a BEC phase transition in an Ising model attributable to the lattice-spin phonons. We proved that the spin-wave theory only is available after BEC transition, and the magnons have the same characteristics as the lattice-spin phonons’, resulting from quantum effect. Energy-level overlap effect at ultra-low temperature is found. A prediction of BEC phase transition in a crystal is put forward as our theory generalization.

Published in	American Journal of Modern Physics (Volume 3, Issue 4)
DOI	10.11648/j.ajmp.20140304.15
Page(s)	178-183
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), 2014. Published by Science Publishing Group

Keywords

Ising Model, Magnetization, Heat Capacity, BEC, Spin-Wave Theory

References

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[15]	You-Gang Feng published in this Journal with this paper
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You-Gang Feng. (2014). Secondary Phase Transition of Ising Model. American Journal of Modern Physics, 3(4), 178-183. https://doi.org/10.11648/j.ajmp.20140304.15

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ACS Style

You-Gang Feng. Secondary Phase Transition of Ising Model. Am. J. Mod. Phys. 2014, 3(4), 178-183. doi: 10.11648/j.ajmp.20140304.15

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AMA Style

You-Gang Feng. Secondary Phase Transition of Ising Model. Am J Mod Phys. 2014;3(4):178-183. doi: 10.11648/j.ajmp.20140304.15

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@article{10.11648/j.ajmp.20140304.15,
  author = {You-Gang Feng},
  title = {Secondary Phase Transition of Ising Model},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {4},
  pages = {178-183},
  doi = {10.11648/j.ajmp.20140304.15},
  url = {https://doi.org/10.11648/j.ajmp.20140304.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140304.15},
  abstract = {Lttice-spin phonons are considered, which make the heat capacity at the critical temperature satisfy experimental observations better. There is a BEC phase transition in an Ising model attributable to the lattice-spin phonons. We proved that the spin-wave theory only is available after BEC transition, and the magnons have the same characteristics as the lattice-spin phonons’, resulting from quantum effect. Energy-level overlap effect at ultra-low temperature is found. A prediction of BEC phase transition in a crystal is put forward as our theory generalization.},
 year = {2014}
}

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TY  - JOUR
T1  - Secondary Phase Transition of Ising Model
AU  - You-Gang Feng
Y1  - 2014/08/10
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140304.15
DO  - 10.11648/j.ajmp.20140304.15
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 178
EP  - 183
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140304.15
AB  - Lttice-spin phonons are considered, which make the heat capacity at the critical temperature satisfy experimental observations better. There is a BEC phase transition in an Ising model attributable to the lattice-spin phonons. We proved that the spin-wave theory only is available after BEC transition, and the magnons have the same characteristics as the lattice-spin phonons’, resulting from quantum effect. Energy-level overlap effect at ultra-low temperature is found. A prediction of BEC phase transition in a crystal is put forward as our theory generalization.
VL  - 3
IS  - 4
ER  -

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Author Information

You-Gang Feng

College of Science, Guizhou University, Huaxi, Guiyang, 550025 China

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Plain Text BibTeX RIS

APA Style

You-Gang Feng. (2014). Secondary Phase Transition of Ising Model. American Journal of Modern Physics, 3(4), 178-183. https://doi.org/10.11648/j.ajmp.20140304.15

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ACS Style

You-Gang Feng. Secondary Phase Transition of Ising Model. Am. J. Mod. Phys. 2014, 3(4), 178-183. doi: 10.11648/j.ajmp.20140304.15

Copy | Download

AMA Style

You-Gang Feng. Secondary Phase Transition of Ising Model. Am J Mod Phys. 2014;3(4):178-183. doi: 10.11648/j.ajmp.20140304.15

Copy | Download

@article{10.11648/j.ajmp.20140304.15,
  author = {You-Gang Feng},
  title = {Secondary Phase Transition of Ising Model},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {4},
  pages = {178-183},
  doi = {10.11648/j.ajmp.20140304.15},
  url = {https://doi.org/10.11648/j.ajmp.20140304.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140304.15},
  abstract = {Lttice-spin phonons are considered, which make the heat capacity at the critical temperature satisfy experimental observations better. There is a BEC phase transition in an Ising model attributable to the lattice-spin phonons. We proved that the spin-wave theory only is available after BEC transition, and the magnons have the same characteristics as the lattice-spin phonons’, resulting from quantum effect. Energy-level overlap effect at ultra-low temperature is found. A prediction of BEC phase transition in a crystal is put forward as our theory generalization.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Secondary Phase Transition of Ising Model
AU  - You-Gang Feng
Y1  - 2014/08/10
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140304.15
DO  - 10.11648/j.ajmp.20140304.15
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 178
EP  - 183
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140304.15
AB  - Lttice-spin phonons are considered, which make the heat capacity at the critical temperature satisfy experimental observations better. There is a BEC phase transition in an Ising model attributable to the lattice-spin phonons. We proved that the spin-wave theory only is available after BEC transition, and the magnons have the same characteristics as the lattice-spin phonons’, resulting from quantum effect. Energy-level overlap effect at ultra-low temperature is found. A prediction of BEC phase transition in a crystal is put forward as our theory generalization.
VL  - 3
IS  - 4
ER  -

Copy | Download