论文标题
在完整图上存在外部磁场的情况下，排斥的蓝光 - 帝国长者 - 帝国帝国模型的相图
Phase diagram of the repulsive Blume-Emery-Griffiths model in the presence of external magnetic field on a complete graph
论文作者
论文摘要
对于排斥性的蓝光 - 帝国 - 帝国模型，在三个字段（t），晶体场（$Δ$）和磁场（H）的空间中的相图在完整的图表上计算，在规范和微型典型合奏中。对于双Quadratic相互作用（K）的弱强度，存在三个临界线相遇的相图中的三个智力点。随着k降低阈值低于阈值（这是合奏依赖性），在（t，$Δ$）平面中出现了新的多政治点，例如临界终点和双临界终点。对于K> -1，我们观察到H平面中的两个临界线和多个临界点在两个合奏中是不同的。在K = -1时，H平面中的两个临界线消失，并且随着K进一步减少，H平面没有相变。正好在k = -1时，两个合奏变得等效。除此之外，对于所有k <-1，都没有多个智力点，并且相图中没有集合不等于。我们还研究了H平面中的过渡线，即用于阳性K的阳性相互作用。我们发现，对于大型正k，H平面中的过渡线在温度下不是单调的。
For the repulsive Blume-Emery-Griffiths model the phase diagram in the space of three fields, temperature (T), crystal field ($Δ$), and magnetic field (H), is computed on a complete graph, in the canonical and microcanonical ensembles. For weak strength of the biquadratic interaction (K), there exists a tricritical point in the phase diagram where three critical lines meet. As K decreases below a threshold value(which is ensemble dependent), new multicritical points like the critical end point and bicritical end point arise in the (T,$Δ$) plane. For K>-1, we observe that the two critical lines in the H plane and the multicritical points are different in the two ensembles. At K=-1, the two critical lines in the H plane disappear and as K decreases further, there is no phase transition in the H plane. Exactly at K=-1 the two ensembles become equivalent. Beyond that for all K<-1, there are no multicritical points and there is no ensemble inequivalence in the phase diagram. We also study the transition lines in the H plane for positive K i.e. for attractive biquadratic interaction. We find that the transition lines in the H plane are not monotonic in temperature for large positive K.
