Smooth-Particle Phase Stability with density and density-gradient potentials

Details Smooth-Particle Phase Stability with density and density-gradient potentials Smooth-Particle Phase Stability with density and density-gradient potentials

2005-09-13

arxiv.org/abs/nlin/0509028v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevE.73.016702

Stable fluid and solid particle phases are essential to the simulation of continuum fluids and solids using Smooth Particle Applied Mechanics. We show that density-dependent potentials, such as Phi=(1/2)Sum (rho-rho_0)^2, along with their corresponding constitutive relations, provide a simple means for characterizing fluids and that a special stabilization potential, Phi=(1/2)Sum (delrho)^2, not only stabilizes crystalline solid phases (or meshes) but also provides a surface tension which is missing in the usual density-dependent-potential approach. We illustrate these ideas for two-dimensional square, triangular, and hexagonal lattices.

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