Computer Simulations of Phase Transitions

这笔续期拨款用于支持计算统计力学的研究。各种各样的项目将被研究，这些项目可以使用先进的计算技术来解决。技术将发展和完善的大规模模拟相转变的系统与竞争的相互作用。动力学临界现象将被研究。其他研究课题将包括毛细凝聚、高分辨率Ising模型模拟、经典Heisenberg模型中的有限尺寸效应、随机系统、磁超晶格和表面相变。将使用各种技术来实现这些模拟，包括蒙特卡罗，蒙特卡罗重整化群，分子动力学和自旋动力学。由许多粒子组成的系统的计算模拟代表了一种替代通常的理论计算和实验研究。这项拨款的首席研究员是一位在物理现象模拟方面颇有成就的专家。首席研究员将研究统计力学中的各种当前问题，这些问题可以用计算模拟来解决，并将开发相关的算法来促进这些模拟。研究课题在凝聚态物理中具有固有的兴趣，除了可能应用于磁性材料，材料表面行为和算法开发之外。

This renewal grant is in support of research in computational statistical mechanics. A variety of projects will be studied which are amenable to solution using advanced computational techniques. Techniques will be developed and refined for the large scale simulation of phase transitions in systems with competing interactions. Dynamical critical phenomena will be studied. Other research topics wil include capillary condensation, high resolution Ising model simulations, finite size effects in the classical Heisenberg model, random systems, magnetic superlattices and surface phase transitions. Various techniques will be used to implement these simulations including Monte Carlo, Monte Carlo renormalization group, molecular dynamics and spin dynamics. Computational simulations of systems composed of many particle represent an alternative to the usual theoretical calculations and experimental investigation. The principal investigator on this grant is an accomplished expert on simulations of physical phenomena. The principal investigator will study a variety of current problems in statistical mechanics which are amenable to solution using computational simulation and will also develop associated algorithms to facilitate these simulations. The research topics are of intrinsic interest in condensed matter physics in addition to having possible application to magnetic materials, surface behavior of materials and algorithm development.