6533b85dfe1ef96bd12bdf4a
RESEARCH PRODUCT
Positive Tolman Length in a Lattice Gas with Three-Body Interactions
Kurt BinderAndreas Tröstersubject
PhysicsCondensed matter physicsLattice (order)ExtrapolationGeneral Physics and AstronomyTolman lengthFree energiesLimitingRadiusCurvaturek-nearest neighbors algorithmdescription
We present a new method to determine the curvature dependence of the interface tension between coexisting phases in a finite volume from free energies obtained by Monte Carlo simulations. For the example of a lattice gas on a 3D fcc lattice with nearest neighbor three-body interactions, we demonstrate how to calculate the equimolar radius ${R}_{e}$ as well as the radius ${R}_{s}$ of the surface of tension and thus the Tolman length $\ensuremath{\delta}({R}_{s})={R}_{e}\ensuremath{-}{R}_{s}$. Within the physically relevant range of radii, $\ensuremath{\delta}({R}_{s})$ shows a pronounced ${R}_{s}$ dependence, such that the simple Tolman parametrization for the interface tension is refutable. For the present model, extrapolation of $\ensuremath{\delta}({R}_{s})$ to ${R}_{s}\ensuremath{\rightarrow}\ensuremath{\infty}$ by various methods clearly indicates a positive limiting value.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-12-20 | Physical Review Letters |