Polymer Conformations and Diffusive Transport in Disordered Environments

无序环境中聚合物的典型问题与当代理论物理学中广泛而深刻的长期问题以及生物物理学中非常热门的应用有关。它在概念和计算层面上提供了巨大的挑战。在合作的努力下，我们将沿着两条主要路线解决它，其目的是从用范式数学模型研究的基本问题跨越到当前跨学科应用中出现的实际问题，并将分析和先进的模拟技术结合起来。特别是，我们将分析刚性和柔性聚合物的统计构象和输运性质如何受到拥挤无序环境的影响。

The paradigmatic problem of polymers in disordered environments is linked both to a broad range of deep and long-standing problems in contemporary theoretical physics, and to very topical applications in biological physics. It provides formidable challenges on the conceptual and on the computational level. In a collaborative effort, we will address it along two main routes, with the aim of spanning from fundamental questions studied with paradigmatic mathematical models to practical questions arising in current interdisciplinary applications, and bringing to bear both analytical and advanced simulation techniques. In particular, we will analyze how the statistical conformations and transport properties of stiff and flexible polymers are affected by a crowded disordered environment.