Phase diagram of pinned lattices in the phase field crystal model
Achim, Cristian Vasile1; Karttunen, Mikko2; Elder, Ken R.3; Granato, Enzo4; Ala-Nissila, Tapio1; Ying, See Chen3 1Finland; 2Canada; 3United States; 4Brazil
We present results for commensurate-incommensurate transitions and non-linear sliding friction for a two-dimensional crystal lattice in the presence of an external pinning potential in the Phase Field Crystal model. This model provides a continuum description of lattice system, such as adsorbed monolayers or two-dimensional vortex lattice. The competition between the length scales associated with the intrinsic ordering and the pinning potential leads to commensurate-incommensurate transitions. The dynamical response of the system in the presence of a driving force has also been studied via the time dependent Ginzburg-Landau equation. We present results on non-linear dynamics and sliding mechanisms for floating, modulated-incommensurate and commensurate phases.