The anisotropic free energy of the Lennard-Jones crystal-melt interface

The Anisotropic Free Energy of the Lennard-Jones Crystal-Melt Interface

We have calculated the free energy of the crystal-melt interface for the Lennard-Jones system as a function of crystal orientation, near zero pressure, by examining the roughness of the interface using molecular dynamic simulations. The anisotropy is weak, but can be accurately resolved using this approach due to the sensitivity of the fluctuations on the anisotropy. We find that the anisotropy...

Direct calculation of the crystal–melt interfacial free energies for continuous potentials: Application to the Lennard-Jones system

Anisotropic Lennard-Jones fluids in a nanochannel

During the past few decades molecular dynamics has been a widely applied tool to simulate fluid confined in micro/nano geometries. What makes interfacial fluids fundamentally different from the bulk fluid is the fact that their density varies considerably over microscopic distances. A class of such strongly inhomogeneous fluids are fluids confined in very narrow channels by solid boundaries. In...

Coarse-grained Ginzburg–Landau free energy for Lennard-Jones systems

We discuss the application of Monte Carlo methods to the self-consistent calculation of a Ginzburg–Landau free energy functional for Lennard-Jones systems in three dimensions. Following this discussion, we demonstrate that the parameters in the coarse-grained free energy can be extracted from a multivariate distribution of energies and particle densities which, when suitably reweighted, permit ...

Periodic Solutions for the Generalized Anisotropic Lennard–jones Hamiltonian

We characterize the circular periodic solutions of the generalized Lennard–Jones Hamiltonian system with two particles in Rn, and we analyze what of these periodic solutions can be continued to periodic solutions of the anisotropic generalized Lennard–Jones Hamiltonian system. We also characterize the periods of antiperiodic solutions of the generalized Lennard–Jones Hamiltonian system on R2n, ...