Topics in Statistical Physics

许多随机磁系统的特征在于冻结， 在低温下的滞后行为。 自旋动力学 玻璃、随机场系统、随机界面和其他 玻璃系统将被调查，使用缩放和 概率重整化群参数，简化模型， 和数值计算。重点将放在以下原因上： 冻结和滞后现象以及 平衡和非平衡过程，例如 恢复磁化并接近平衡。 在一些 无序的系统，运输过程是高度集体的， 非线性 使用滑动电荷密度波作为范例， 将研究各种选择性传输现象， 包括无序超导体中的磁通流和 多孔介质中两种流体之间的界面。 这些系统 不要移动，直到达到阈值驱动力，并接近 这个阈值，他们表现出新的非线性动态临界 现象。 低于阈值时，会发生滞后行为， 也将被调查。 各种量子统计现象 也将研究：自旋波动力学在强量子 磁体，（如固体3 He）：金属附近的标度行为- 绝缘体转变;以及耗散对量子 相变，如超导性的破坏， 粒状材料

Many random magnetic systems are characterized by freezing and hysteretic behavior at low temperatures. The dynamics of spin glasses, random field systems, random interfaces, and other glassy systems will be investigated, using scaling and probabilistic renormalization group arguments, simplified models, and numerical calculations. The emphasis will be on the causes of the freezing and hysteretic phenomena and the interplay between equilibrium and non-equilibrium processes, such as decay of remanent magnetization and approach to equilibrium. In some disordered systems, transport processes are highly collective and non-liniar. Using sliding charge density waves as a paradigm, various cellective transport phenomena will be investigated, including flux flow in disordered superconductors and motion of interfaces between two fluids in a porous media. These systems do not move until a threshold driving force is reached, and near this threshold they exhibit novel non-linear dynamic critical phenomena. Below threshold, hysteretic behavior occurs which will also be investigated. Various quantum statistical phenomena will also be studied: spin wave dynamics in strongly quantum magnets, (such as solid 3He): scaling behavior near metal- insulator transitions; and the effects of dissipation on quantum phase transitions such as destruction of superconductivity in granular materials.