Theoretical Problems in Condensed Matter and Statistical Physics

9714725 Nelson这项授予这位高级杰出PI的续期补助金支持凝聚态物理和统计力学的各种主题的工作，重点是几何和无序之间的相互作用。在II型超导体中，涡旋与人工钉钉中心的相互作用，种群生物学中的局部化效应，聚合物和囊泡中的热波动和动力学。有计划考虑通过运行与外部磁场平行的外部电流来产生纠缠涡流线的“工作硬化”状态的方法。在异质介质中对流的简单种群生物学模型中，潜在的数学结构对应于一个非厄米局域化问题，并且适用于细菌的实验室研究。他们计划在空间非均匀环境中研究“费雪波”。%%%这位高级杰出PI因其开创性、创新性的研究而得到广泛认可；非常清晰，刺激和有趣的演讲和精心培养学生和博士后。他研究凝聚态物质和生物物理学的统计力学，研究范围从超导体到聚合物和囊泡。他在这项续期拨款中的工作还包括种群生物学中的本地化效应项目。＊＊＊

9714725 Nelson This renewal grant to this senior distinguished PI supports work on a variety of topics in condensed matter physics and statistical mechanics, with emphasis on interplay between geometry and disorder. There are projects on vortices interacting with artificial pinning centers in a type II superconductor, localization effects in population biology and thermal fluctuations and dynamics in polymers and vesicles. There are plans to consider ways of producing a "work-hardened" state of tangled vortex lines by running an external current parallel to the external magnetic field. In simple models of population biology with convection in heterogeneous media, the underlying mathematical structure corresponds to a non-Hermitian localization problem and is amenable to laboratory investigation with bacteria. There are plans to study "Fisher waves" in a spatially inhomogeneous environment. %%% This senior distinguished PI is widely recognized for pioneering, innovative research; wonderfully lucid, stimulating and entertaining presentations and a careful nurturing of students and postdocs. He works on the statistical mechanics of condensed matter and biophysics, ranging from superconductors to polymers and vesicles. His work in this renewal grant also contains projects on localization effects in population biology. ***