论文标题
横向磁场中的广义随机能量模型：自由能和相图
Generalized Random Energy Models in a Transversal Magnetic Field: Free Energy and Phase Diagrams
论文作者
论文摘要
我们确定横向磁场中平均场自旋玻璃的自由能的显式变分表达式，其玻璃相互作用由层次高斯电势给出，如德里达的广义随机能量模型（GREM），其连续版本（CREM）或非层次结构GREM。讨论了相应的相图，通常包括玻璃转变和磁过渡。在玻璃相中，自由能通常由经典模型和横向场的参数决定。
We determine explicit variational expressions for the free energy of mean-field spin glasses in a transversal magnetic field, whose glass interaction is given by a hierarchical Gaussian potential as in Derrida's Generalized Random Energy Model (GREM), its continuous version (CREM) or the non-hierarchical GREM. The corresponding phase diagrams, which generally include glass transitions as well as magnetic transitions, are discussed. In the glass phase, the free energy is generally determined by both the parameters of the classical model and the transversal field.
