Elementary Excitations of Ising Models at the Critical Temperatures
American Journal of Modern Physics
Volume 3, Issue 6, November 2014, Pages: 211-217
Received: Oct. 8, 2014; Accepted: Oct. 23, 2014; Published: Oct. 30, 2014
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Author
You-Gang Feng, College of Science, Guizhou University, Huaxi, Guiyang, 550025 China
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Abstract
Ordered Ising models as ferromagnetic having nonsingular heat capacities at the critical temperatures are considered. A new parameter vector q ⃗ is found to describe the spin correlations and fluctuation characteristics. The conservation of scalar q indicates that there is simple harmonic motion of q ⃗, and the motion’s quantum is called block-spin phonons, like the phonons in a crystal, resulting in nonsingular heat capacity near the critical point. The harmonic motion shows there are hierarchies and symmetries of fluctuations, while the soft mode may lead to the interactions of block-spin phonons with different frequencies. We are certain that the critical point for an Ising model only exists in a statistical sense although the system at the critical temperature. The fluctuations undergo about the critical point, which the system never attains. It is the first time for us that the specific forms of the spins’ correlation functions for Ising models at the critical temperatures are obtained.
Keywords
Ising, Correlation, Phonon, Heat Capacity, Fluctuation
To cite this article
You-Gang Feng, Elementary Excitations of Ising Models at the Critical Temperatures, American Journal of Modern Physics. Vol. 3, No. 6, 2014, pp. 211-217. doi: 10.11648/j.ajmp.20140306.11
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