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物理学报. 1994, 43(7): 1172-1176.
doi: 10.7498/aps.43.1172.
一种具有铁磁与反铁磁相互作用Ising模型的热力学性质
- 收稿日期: 1993-04-26
- 修回日期: 1993-11-11
- 刊出日期: 1994-07-20
摘要: 对最近邻自旋间具有反铁磁相互作用Ｊs，相隔偶数个自旋间又具有指数型长程铁磁相互作用Ｊ1的一维Ｉｓｉｎｇ模型，利用积分方程的方法得出内能和比热的解析表达式。在Ｊ1＝１，Ｊs分别为０．０５，０．１和０．３的条件下，作出零场时的内能和比热随温度参量变化的图形，并指出其相变临界点。在Ｊ1＝１，Ｊs＝０．１的条件下，作出外磁场变化对内能和比热的影响图。鉴于系统在低温、零场或弱场以及较弱
English Abstract
THERMODYNAMICAL BEHAVIOR OF THE ISING MODEL WITH FERROMAGNETIC AND ANTI-FERROMAGNETIC INTERACTIONS
- Received Date:
26 April 1993
- Accepted Date:
11 November 1993
- Published Online:
20 July 1994
Abstract: Using the integral equation method, we have got the analytic expressions of the internal energy and specific heat for the one-dimensional Ising model with nearest-neighbour antiferromagnetic repulsion Js and infinitely long-range exponential (Kae-Helfand-type) ferromagnetic attraction J1 acting only on even-numbered neighbours. Under the conditions of J1=1 and Js being 0.05, 0.1 and 0.3 respectively, we have drawn the curves of the internal energy and specific heat varying with temperature in zero external magnetic field, and pointed out its critical phase transition point. Under the conditions of J1=1,Js=0.1, we have drawn the curves of influence of the external magnetic field upon the internal energy and specific heat. Because there exist double solutions for the system under low temperatures, zero or weak external magnetic field and weaker antiferromagnetic interactions, it is inferred that there should exist another quasi-stable state of the model under the given conditions.
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