Non-Perturbative Numerical Studies of Lattice-Gas Models in Materials Science

将对材料中的各种问题进行研究 科学与凝聚态物理学 技术和数值分析。 这些的共同模式 研究领域是合作系统的格子气模型。 第一部分的工作将集中在低维系统。 主要重点将放在多组分吸收， 电化学系统 结构相变和氧 高温超导体中的有序也将被研究。 第二，更具投机性，部分工作将集中在 发展格子非平衡转移矩阵技术 气体模型

Research will be conducted on a variety of problems in materials science and condensed matter physics utilizing transfer matrix techniques and numerical analysis. The common model to these research areas is the lattice gas model of cooperative systems. The first part of the work will focus on low dimensional systems. The primary emphasis will be on multicomponent absorption in electrochemical systems. Structural phase transitions and oxygen ordering in high temperature superconductors will also be studied. The second, more speculative, part of the work will concentrate on developing non-equilibrium transfer matrix techniques for lattice gas models.