论文标题
带有三峰和高斯随机场的Blume-Capel模型中的相变
Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields
论文作者
论文摘要
我们研究了不同对称的随机场分布的影响:三峰和高斯对无限范围蓝光模型的相图。对于三峰随机场,该模型具有非常丰富的相图。我们发现三个新的有序阶段,分别是三级临界点(TCP),双限终点(BEP),临界终点(CEP)以及一些多相共存点,例如三级临界点(TCP)。我们还发现,对于某些参数值,在低温下的重新进入。另一方面,对于高斯分布,相图由连续的过渡线组成,然后是一阶过渡线,在TCP上会议。 TCP消失了随机场的较高强度。与三座案例相反,在高斯案件中,没有新阶段出现。
We study the effect of different symmetric random field distributions: trimodal and Gaussian on the phase diagram of the infinite range Blume-Capel model. For the trimodal random field, the model has a very rich phase diagram. We find three new ordered phases, multicritical points like tricritical point (TCP), bicritical end point (BEP), critical end point (CEP) along with some multi-phase coexistence points. We also find re-entrance at low temperatures for some values of the parameters. On the other hand for the Gaussian distribution the phase diagram consists of a continuous line of transition followed by a first order transition line, meeting at a TCP. The TCP vanishes for higher strength of the random field. In contrast to the trimodal case, in Gaussian case no new phase emerges.