Statistical Field Theories and Collective Phenomena

[01:18213]卡尔达：这项资助支持旨在理解聚合物、凝胶、通量线、表面、复杂流体和社会网络中的静态和动态波动现象的研究和教育。场论和数值方法，例如蒙特卡罗模拟，将被用来提取这些相互作用系统的普遍特征。在这项工作中可能会发展出新的理论方法。研究将集中在几个具体的问题上：像DNA这样的聚合物中的结和缠结是由能量或熵效应定位在较短的片段上的吗？在变形表面附近的波动是如何改变的，它们是否可以用来提供关于变形的间接信息？我们能否通过连续场方程描述生物系统中模式的出现（皮质图、细胞运动、分子马达和微管的结构构造），我们从这种建模中学到了什么？在生长薄膜和漂移晶格的非平衡环境中，有序和波动的相互作用是什么？简单的生物系统能否在分子水平上通过在看似随机的凝胶中植入所需信息来模拟？该基金支持统计物理学领域的基础理论研究和教育，涉及聚合物、凝胶、通量线、表面、复杂流体、生物系统和社会网络中的静态和动态波动现象。PI将使用先进的理论技术来解决涉及聚合物物理、薄膜和晶体生长、皮质图和分子生物学中的平衡和非平衡现象的具体问题。学生将学习统计物理学的先进理论方法及其在包括生物系统在内的广泛系统中的应用

0118213KardarThis grant supports research and education aimed at understanding static and dynamic fluctuation phenomena in polymers, gels, flux lines, surfaces, complex fluids, and social networks. Field theory and numerical methods, e.g. Monte Carlo simulation, will be used to extract universal features of these interacting systems. New theoretical methods may be developed in the course of the work. Research will focus on several specific questions: Are knots and entanglements in polymers such as DNA localized by energy or entropy effects on shorter segments? How are fluctuations modified in the vicinity of a deformed surface, and can they be used to provide indirect information about deformations? Can we describe the emergence of patterns in biological systems (cortical maps, cell motility, and structural constructs from molecular motors and microtubules) by continuum field equations, and what do we learn from such modeling? What is the interplay of order and fluctuations in the non-equilibrium contexts of growing films and drifting lattices? Can simple biological systems be mimicked by imprinting desired information in seemingly random gels at the molecular level?%%%This grant supports fundamental theoretical research and education in an area of statistical physics dealing with static and dynamic fluctuation phenomena in polymers, gels, flux lines, surfaces, complex fluids, biological systems, and social networks. The PI will use advanced theoretical techniques to address specific questions involving equilibrium and nonequilibrium phenomena in polymer physics, film and crystal growth, cortical maps, and molecular biology. Students will be trained in advanced theoretical methods for statistical physics and their applications to a wide range of systems including biological systems.***