No-go theorem in many body dissipative particle dynamics

Abstract

Many body dissipative particle dynamics (MDPD) is a particle-based simulation method in which the interaction potential is a sum of self energies depending on locally-sampled density variables. This functional form gives rise to density-dependent pairwise forces, however not all such force laws are derivable from a potential and the integrability condition for this to be the case provides a strong constraint. A strategy to assess the implications of this constraint is illustrated here by the derivation of a useful no-go theorem for multicomponent MDPD.

2 pages, RevTeX4-1

References in corpus (4)

• Vapour-liquid coexistence in many-body dissipative particle dynamics
• Dissipative particle dynamics for interacting systems
• Beware of density dependent pair potentials
• Hydrodynamic bubble coarsening in off-critical vapour-liquid phase separation

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