### Abstract

We have studied the solid-fluid coexistence for systems of polydisperse soft spheres with near-Gaussian diameter distributions that interact via an inverse power potential, the softness of which is being tuned. The study employs simulation in the isobaric semigrand ensemble. Gibbs-Duhem integration is used to trace the coexistence pressure as a function of the variance of the imposed activity distribution. Both the fluid-solid coexistence densities and volume fractions are monotonically increasing functions of the polydispersity s, which is given in terms of the standard deviation in the particle diameter distribution function. We observe a terminal polydispersity, i.e. a polydispersity above which there can be no fluid-solid coexistence. At the terminus, polydispersity increases from 5.8% to 6.1% to 6.4% and to 6.7% for the solid phase as the softness parameter n, takes on smaller values: from 100 to 50 to 12 and to 10 respectively.

Original language | English |
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Title of host publication | Computation in Modern Science and Engineering - Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007) |

Pages | 444-447 |

Number of pages | 4 |

Volume | 963 |

Edition | 2 |

DOIs | |

Publication status | Published - 2007 |

Externally published | Yes |

Event | International Conference on Computational Methods in Science and Engineering 2007, ICCMSE 2007 - Corfu, Greece Duration: 25 Sep 2007 → 30 Sep 2007 |

### Other

Other | International Conference on Computational Methods in Science and Engineering 2007, ICCMSE 2007 |
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Country | Greece |

City | Corfu |

Period | 25/9/07 → 30/9/07 |

### Fingerprint

### Keywords

- Colloids
- Phase coexistence
- Polydispersity
- Soft spheres

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Computation in Modern Science and Engineering - Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007)*(2 ed., Vol. 963, pp. 444-447) https://doi.org/10.1063/1.2836107

**Phase equilibrium of colloid systems with particle size dispersity : A Monte Carlo study.** / Yiannourakou, Marianna; Bitsanis, Ioannis; Economou, Ioannis.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Computation in Modern Science and Engineering - Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007).*2 edn, vol. 963, pp. 444-447, International Conference on Computational Methods in Science and Engineering 2007, ICCMSE 2007, Corfu, Greece, 25/9/07. https://doi.org/10.1063/1.2836107

}

TY - GEN

T1 - Phase equilibrium of colloid systems with particle size dispersity

T2 - A Monte Carlo study

AU - Yiannourakou, Marianna

AU - Bitsanis, Ioannis

AU - Economou, Ioannis

PY - 2007

Y1 - 2007

N2 - We have studied the solid-fluid coexistence for systems of polydisperse soft spheres with near-Gaussian diameter distributions that interact via an inverse power potential, the softness of which is being tuned. The study employs simulation in the isobaric semigrand ensemble. Gibbs-Duhem integration is used to trace the coexistence pressure as a function of the variance of the imposed activity distribution. Both the fluid-solid coexistence densities and volume fractions are monotonically increasing functions of the polydispersity s, which is given in terms of the standard deviation in the particle diameter distribution function. We observe a terminal polydispersity, i.e. a polydispersity above which there can be no fluid-solid coexistence. At the terminus, polydispersity increases from 5.8% to 6.1% to 6.4% and to 6.7% for the solid phase as the softness parameter n, takes on smaller values: from 100 to 50 to 12 and to 10 respectively.

AB - We have studied the solid-fluid coexistence for systems of polydisperse soft spheres with near-Gaussian diameter distributions that interact via an inverse power potential, the softness of which is being tuned. The study employs simulation in the isobaric semigrand ensemble. Gibbs-Duhem integration is used to trace the coexistence pressure as a function of the variance of the imposed activity distribution. Both the fluid-solid coexistence densities and volume fractions are monotonically increasing functions of the polydispersity s, which is given in terms of the standard deviation in the particle diameter distribution function. We observe a terminal polydispersity, i.e. a polydispersity above which there can be no fluid-solid coexistence. At the terminus, polydispersity increases from 5.8% to 6.1% to 6.4% and to 6.7% for the solid phase as the softness parameter n, takes on smaller values: from 100 to 50 to 12 and to 10 respectively.

KW - Colloids

KW - Phase coexistence

KW - Polydispersity

KW - Soft spheres

UR - http://www.scopus.com/inward/record.url?scp=71449088048&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71449088048&partnerID=8YFLogxK

U2 - 10.1063/1.2836107

DO - 10.1063/1.2836107

M3 - Conference contribution

AN - SCOPUS:71449088048

SN - 9780735404786

VL - 963

SP - 444

EP - 447

BT - Computation in Modern Science and Engineering - Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007)

ER -