Definitions of local density in density-dependent potentials for mixtures

Peter Vanya and James A. Elliott
Phys. Rev. E 102, 013312 – Published 30 July 2020

Abstract

Density-dependent potentials are frequently used in materials simulations because of their approximate description of many-body effects at minimal computational cost. However, in order to apply such models to multicomponent systems, an appropriate definition of total local particle density is required. Here, we discuss two definitions of local density in the context of many-body dissipative particle dynamics. We show that only a potential which combines local densities from all particle types in its argument gives physically meaningful results for all composition ratios. Drawing on the ideas from metal potentials, we redefine local density such that it can accommodate different intertype interactions despite the constraint to keep the main interaction parameter constant, known as Warren's no-go theorem, and generalize the many-body potential to heterogeneous systems. We then show via simulation how liquid-liquid and liquid-solid coexistence can arise just by tuning the interaction parameters.

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  • Received 19 September 2019
  • Revised 10 May 2020
  • Accepted 2 July 2020

DOI:https://doi.org/10.1103/PhysRevE.102.013312

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsPolymers & Soft Matter

Authors & Affiliations

Peter Vanya1,2,* and James A. Elliott1,†

  • 1Department of Materials Science and Metallurgy, University of Cambridge, 27 Charles Babbage Road, Cambridge CB3 0FS, United Kingdom
  • 2Value for Money Unit, Ministry of Finance of the Slovak Republic, Štefanovičova 5, 817 82 Bratislava, Slovakia

  • *peter.vanya@gmail.com
  • jae1001@cam.ac.uk

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Vol. 102, Iss. 1 — July 2020

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