title: 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.
authors.affiliation: Unilever R&D Port Sunlight, Quarry Road East, Bebington, Wirral, CH63 3JW, United Kingdom. patrick.warren@unilever.com
authors.forename: Patrick B
authors.initials: PB
authors.lastname: Warren