Special Geometries: Effects on Transitions and Nonlinear Interactions

在他过去的研究中，P.I.研究了波浪的行为 在各种几何形状的随机系统中， 系统. 在这项工作中，他能够 找出一些特别“干净”的系统， 建议使用这些特殊的几何形状来回答当前的一些问题。 开放性问题凝聚态物理学 具体地说， 他建议研究：1）缩放和维度交叉 对于使用玻璃毛细管阵列的4 He; 2） 随机系统中的局部和非局部非线性相互作用， 准周期系统; 3）二维，强，安德森本地化作为一个 无序量的函数; 4）超流体 可变弱链阵列渗透~ 4 He跃迁 （由常设e. m.生成）来自交叉激光束的波）， 有可能观察到受控玻色玻璃 过渡

In his past research, the P.I. has studied the behavior of waves in random systems of various geometries and in quasiperiodic systems. In the course of this work, he has been able to identify some systems which are particularly "clean" and he proposes to use these special geometries to answer some current open questions in l.t. condensed-matter physics. Specifically, he proposes to study: - 1) scaling and dimensional cross-over for 4He using a glass capillary array; 2) the difference between local and non-local non-linear interactions in random systems and quasiperiodic systems; 3) 2D, strong, Anderson localization as a function of the amount of disorder; and 4) the superfluid transition with 4He permeated by a variable weak-link array (generated with standing e.m. waves from crossed laser beams), with the possibility of observing a controlled Bose glass transition.