Collective non-equilibrium dynamics of ferromagnetic nanoparticles with a finite anisotropy in a viscous liquid

该项目的目标是发现和了解强时间周期外磁场诱导的磁流体的新的非平衡状态。该项目有两个主要方面，理论方面(Sumy)和计算方面(Augsburg)。理论方面的关键思想是同时考虑纳米粒子的机械旋转和内部磁动力学；热涨落对这一组合动力学的影响将在朗之万和福克-普兰克形式框架内进行研究。计算部分旨在开发新的算法，在图形处理单元(GPU)上模拟大量纳米粒子，并验证理论结果。我们期望非平衡机制和效应可以为控制磁流体提供更多的手段，并为其新的应用和技术解决方案铺平道路。此外，预期的结果将有助于更好地理解磁流体物理，提高对复杂磁性纳米结构性质的认识。

The project objective is to uncover and understand new non-equilibrium states of ferrofluids induced by strong time-periodic external magnetic fields. The project has two main sides, theoretical (Sumy) and computational (Augsburg) ones. The key idea on the theoretical side is to account for both the mechanical rotation and internal magnetic dynamics of a nanoparticle; the influence of thermal fluctuations on this combained dynamics will be investigated within the frameworks of the Langevin and Fokker-Plank formalisms.Computational part is aimed at the development of new algorithms to simulate large ensemble of nanoparticles on graphics processing units (GPUs) and validation of theoretical results. We expect that non-equilibrium mechanisms and effects can provide additional means to control ferrofluids and pave a way to their new applications and technological solutions. In addition, the anticipated results will contribute to a better understanding of ferrofluid physics and improving the knowledge of properties of complex magnetic nanostructures.