Ising model: Elementary excitation and nonsingular heat capacity at critical temperature

2011/11/08 by You-gang Feng, Feng, You-gang
Physics and Astronomy · #37K60 #82B20 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #G.1.2 #General Physics (physics.gen-ph) #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1111.2233

openalex publication_date 2011/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find a new parameter vector q to describe spin correlations and fluctuation characteristics. The conservation of scalar q indicates there are simple harmonic motions of q, and the motion quantum is called block-spin phonon like the phonon in a crystal, resulting in nonsingular heat capacity at T . The harmonic motions show there are hierarchies and symmetries of fluctuations, and the soft modes lead to the interactions of block-spin phonons of different frequencies.

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