### Abstract

A chain-revised Groot-Warren equation of state (crGW-EOS) was developed and tested to describe systems of homo-oligomeric chains in the framework of dissipative particle dynamics (DPD). First, thermodynamic perturbation theory is applied to introduce correction terms that account for the reduction in pressure with an increasing number of bonds at constant bead number density. Then, this EOS is modified by introducing a set of switching functions that yields an accurate second virial coefficient in the low-density limit. The crGW-EOS offers several improvements over the revised Groot-Warren equation of state and Groot-Warren equation of state for chain molecules. We tested the crGW-EOS by using it to predict the pressure of oligomeric systems and the B
_{2}
virial coefficient of chain DPD particles for a range of bond lengths. Additionally, a method is developed for determining the strength of cross-interaction parameters between chains of different compositions and sizes and for thermal and athermal mixtures. We explored how different levels of coarse-graining affect the upper-critical solution temperature.

Original language | English (US) |
---|---|

Article number | 124104 |

Journal | Journal of Chemical Physics |

Volume | 150 |

Issue number | 12 |

DOIs | |

State | Published - Mar 28 2019 |

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### Cite this

*Journal of Chemical Physics*,

*150*(12), [124104]. https://doi.org/10.1063/1.5058280

**A new equation of state for homo-polymers in dissipative particle dynamics.** / Minkara, Mona S.; Hembree, Robert; Jamadagni, Sumanth N.; Ghobadi, Ahmad F.; Eike, David M.; Siepmann, Ilja.

Research output: Contribution to journal › Article

*Journal of Chemical Physics*, vol. 150, no. 12, 124104. https://doi.org/10.1063/1.5058280

}

TY - JOUR

T1 - A new equation of state for homo-polymers in dissipative particle dynamics

AU - Minkara, Mona S.

AU - Hembree, Robert

AU - Jamadagni, Sumanth N.

AU - Ghobadi, Ahmad F.

AU - Eike, David M.

AU - Siepmann, Ilja

PY - 2019/3/28

Y1 - 2019/3/28

N2 - A chain-revised Groot-Warren equation of state (crGW-EOS) was developed and tested to describe systems of homo-oligomeric chains in the framework of dissipative particle dynamics (DPD). First, thermodynamic perturbation theory is applied to introduce correction terms that account for the reduction in pressure with an increasing number of bonds at constant bead number density. Then, this EOS is modified by introducing a set of switching functions that yields an accurate second virial coefficient in the low-density limit. The crGW-EOS offers several improvements over the revised Groot-Warren equation of state and Groot-Warren equation of state for chain molecules. We tested the crGW-EOS by using it to predict the pressure of oligomeric systems and the B 2 virial coefficient of chain DPD particles for a range of bond lengths. Additionally, a method is developed for determining the strength of cross-interaction parameters between chains of different compositions and sizes and for thermal and athermal mixtures. We explored how different levels of coarse-graining affect the upper-critical solution temperature.

AB - A chain-revised Groot-Warren equation of state (crGW-EOS) was developed and tested to describe systems of homo-oligomeric chains in the framework of dissipative particle dynamics (DPD). First, thermodynamic perturbation theory is applied to introduce correction terms that account for the reduction in pressure with an increasing number of bonds at constant bead number density. Then, this EOS is modified by introducing a set of switching functions that yields an accurate second virial coefficient in the low-density limit. The crGW-EOS offers several improvements over the revised Groot-Warren equation of state and Groot-Warren equation of state for chain molecules. We tested the crGW-EOS by using it to predict the pressure of oligomeric systems and the B 2 virial coefficient of chain DPD particles for a range of bond lengths. Additionally, a method is developed for determining the strength of cross-interaction parameters between chains of different compositions and sizes and for thermal and athermal mixtures. We explored how different levels of coarse-graining affect the upper-critical solution temperature.

UR - http://www.scopus.com/inward/record.url?scp=85063456134&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063456134&partnerID=8YFLogxK

U2 - 10.1063/1.5058280

DO - 10.1063/1.5058280

M3 - Article

C2 - 30927875

AN - SCOPUS:85063456134

VL - 150

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 12

M1 - 124104

ER -