Computer Simulations of Phase Transitions

这笔续期补助金是为了支持计算统计力学的研究。将研究各种可以使用先进计算技术解决的项目。将开发和改进技术，以大规模模拟具有竞争相互作用的系统中的相变。我们将研究动力学临界现象。其他研究课题将包括毛细凝聚、高分辨率伊辛模型模拟、经典海森堡模型中的有限尺寸效应、随机系统、磁性超晶格和表面相变。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。对由许多粒子组成的体系的计算模拟代表了通常的理论计算和实验研究的另一种选择。这笔拨款的主要研究人员是一位在物理现象模拟方面颇有成就的专家。首席研究人员将研究目前统计力学中的各种问题，这些问题可以使用计算模拟来解决，还将开发相关的算法来促进这些模拟。这些研究课题除了可能应用于磁性材料、材料的表面行为和算法开发外，还对凝聚态物理产生了内在的兴趣。

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.