Phase Transitions Critical Phenomena and Disordered System

将对量子自旋玻璃进行理论研究， 有限连接自旋玻璃和自组织临界 现象。 对于量子自旋玻璃的研究将由 量子海森堡场的自旋玻璃，波茨自旋玻璃 在横向场中，量子自旋玻璃 连通格 对于有限连接自旋玻璃， 我将研究静态和动态属性、副本模式 对称破缺及其稳定性，关联行为 函数和波动，作为理解 短程模型 我们将包括小循环作为一种手段去 超越了贝特近似， 晶格 我们还将研究场论模型 对应于非平衡定态显示自 细胞自动机存在的有组织的临界性， 由近场驱动的系统的动力学行为 他们的临界点。

Theoretical research will be conducted on quantum spin glasses, the finite connectivity spin glass and on self-organizing critical phenomena. For quantum spin glasses investigations will be made of the quantum Heisenberg spin glass in a field, the Potts spin glass in a transverse field and the quantum spin glass on finite connectivity lattices. For the finite connectivity spin glass we will look at static and dynamic properties, patterns of replica symmetry breaking and their stability, behavior of correlation functions and fluctuations, as a step toward understanding the short range model. We will include small loops as a means to go beyond the Bethe approximation toward behavior on a Bravais lattice. We will also look at field theoretical models corresponding to non-equilibrium stationary states displaying self- organized criticality for which cellular automata exist and at dynamical behavior of systems driven by an external field near their critical point.