Two-Dimensional Melting of a Crystal of Ferrofluid Spikes

François Boyer, Eric Falcon
2009 Physical Review Letters  
We report the observation of the transition from an ordered solid-like phase to a disordered liquid-like phase of a lattice of spikes on a ferrofluid surface submitted to horizontal sinusoidal vibrations. The melting transition occurs for a critical spike displacement which is experimentally found to follow the Lindemann criterion, for two different lattice topologies (hexagonal and square) and over a wide range of lattice wavelengths. An intermediate hexatic-like phase between the solid and
more » ... tropic liquid phases is also observed and characterized by standard correlation functions. This dissipative out-of-equilibrium system exhibits strong similarities with 2D melting in solid-state physics.
doi:10.1103/physrevlett.103.144501 pmid:19905570 fatcat:n654iwb3orawrbtqx6nzq3oldi