Self -organization of magnetic particles at fluid interfaces

Understanding principles that govern emergent behavior in systems with complex interactions has puzzled scientists for many years. In my work I studied seemingly simple but highly non-trivial system of magnetic micro-particles suspended at fluid interface and energized by an external vertical AC magnetic field. It can be considered as a prototype for probing the interplay of individual interactions on the collective response of system to the external driving.;The first part of this work is focused on experimental study of self-organization in this system. In a certain region of parameters formation of localized snake-like structures with accompanying large-scale symmetric surface flows is observed. Characteristics of the self-organized structure as well as flows strongly depend on parameters of the external driving. Increased driving leads to a spontaneous symmetry breaking of the surface flows which results in a self-propulsion of the "snake". This observation leads to an idea of controlled design of a self-propelled swimmer. Numerical calculations based on a phenomenological model proposed for the description of such system successfully reproduces self-organization of the snake-like structures, self-propulsion under spontaneous and artificial symmetry breaking.;Increase in the number of the particles promotes a formation of multiple snakes which are in turn unstable with respect to self-induced flows and become mobile swimmers. Such ensemble effectively mixes the surface of liquid. Experimental study of such two-dimensional mixing is the focus of the second part of this work. Results of molecular-dynamics simulations based on proposed theoretical model are reported.