Effective Forces Induced by a Fluctuating Interface: Exact Results
Physical Review Letters 98 (2007) 170602 4pp
Relaxation dynamics of a system with a grain boundary.
Phys Rev E Stat Nonlin Soft Matter Phys 70:6 Pt 2 (2004) 066138
Abstract:Recently an interesting phase transition scenario in the context of a planar Ising system with a grain boundary was revealed [Phys. Rev. Lett. 93, 076101 (2004)]]. In this paper we study in more detail the relaxation dynamics of this system and show how the grain boundary acts as a guide spatially confining matter transport. This is done by performing simulations using the continuous time Monte Carlo algorithm with Kawasaki dynamics. We also set up the problem as a solid-on-solid model and formulate corresponding Langevin equations for the dynamics in two cases, with and without matter conservation.
Wetting at a Grain Boundary
Physical Review Letters 93 (2004) 076101 4pp
Exact results for wetting and filling on a triangular lattice
INT J THERMOPHYS 25:4 (2004) 1051-1062
Abstract:New exact analytical results are described for surface tension on the triangular Ising lattice. The triangular Ising lattice forms naturally 60degrees and 120degrees corners, and a thermodynamic argument is used, which incorporates the exact results, to obtain conditions for the filling transition for both angles. Monte Carlo simulations with Wang-Landau sampling are performed to independently verify the applicability of this argument. Results are in agreement with previous conjectures for the phase boundary in these systems.
Solid on solid model for an interface crossing a grain boundary
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37:24 (2004) PII S0305-4470(04)77915-9