Does the One-Dimensional Ising Model Exhibit a Zero Temperature Phase-Transition?
For about a century since Ising model was proposed,it is viewed as one of the most important microscopic models of physics.It is generally believed that there is zero-temperature phase-transition in the one-dimensional based on the spontaneous-magnetization result.This article first presents the results of the internal energy,specific heat,and entropy of 1D-IM,and based on the Ehrenfest phase-transition classification,it is found that there is no zero-temperature phase-transition in 1D-IM.And then,according to the third law of thermodynamics,the further analysis and discussion were conducted on the absence of zero-temperature phase-transition in 1D-IM.
one-dimensional Ising modelzero-temperature phase-transitionphase transition classificationthe third law of thermodynamics