### Abstract

We tested the convergence of Green's entropy expansion for hard sphere systems of different dimensions (D = 1, 2, 3). We compared the two-body and (for D= 1 and 3) the sum of the two-body and three-body entropy contributions to the total excess entropy in these systems. The qualitative properties of the expansion are very similar for the three tested models. The two-body contribution gives a good estimate of the excess entropy at low densities but underestimates the absolute value of the excess entropy at intermediate densities. In this region the inclusion of the three-body entropy contribution improves the accuracy of the expansion. Close to the phase transition density (in D= 2,3) the two-body entropy - due to fortuitous cancellations - is again a good approximation of the excess entropy.

Original language | English |
---|---|

Pages (from-to) | 227-230 |

Number of pages | 4 |

Journal | Chemical Physics |

Volume | 165 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - Sep 15 1992 |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics

### Cite this

*Chemical Physics*,

*165*(2-3), 227-230. https://doi.org/10.1016/0301-0104(92)87039-C

**On the convergence of Green's entropy expansion.** / Borzsák, István; Baranyai, A.

Research output: Contribution to journal › Article

*Chemical Physics*, vol. 165, no. 2-3, pp. 227-230. https://doi.org/10.1016/0301-0104(92)87039-C

}

TY - JOUR

T1 - On the convergence of Green's entropy expansion

AU - Borzsák, István

AU - Baranyai, A.

PY - 1992/9/15

Y1 - 1992/9/15

N2 - We tested the convergence of Green's entropy expansion for hard sphere systems of different dimensions (D = 1, 2, 3). We compared the two-body and (for D= 1 and 3) the sum of the two-body and three-body entropy contributions to the total excess entropy in these systems. The qualitative properties of the expansion are very similar for the three tested models. The two-body contribution gives a good estimate of the excess entropy at low densities but underestimates the absolute value of the excess entropy at intermediate densities. In this region the inclusion of the three-body entropy contribution improves the accuracy of the expansion. Close to the phase transition density (in D= 2,3) the two-body entropy - due to fortuitous cancellations - is again a good approximation of the excess entropy.

AB - We tested the convergence of Green's entropy expansion for hard sphere systems of different dimensions (D = 1, 2, 3). We compared the two-body and (for D= 1 and 3) the sum of the two-body and three-body entropy contributions to the total excess entropy in these systems. The qualitative properties of the expansion are very similar for the three tested models. The two-body contribution gives a good estimate of the excess entropy at low densities but underestimates the absolute value of the excess entropy at intermediate densities. In this region the inclusion of the three-body entropy contribution improves the accuracy of the expansion. Close to the phase transition density (in D= 2,3) the two-body entropy - due to fortuitous cancellations - is again a good approximation of the excess entropy.

UR - http://www.scopus.com/inward/record.url?scp=0008640771&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0008640771&partnerID=8YFLogxK

U2 - 10.1016/0301-0104(92)87039-C

DO - 10.1016/0301-0104(92)87039-C

M3 - Article

AN - SCOPUS:0008640771

VL - 165

SP - 227

EP - 230

JO - Chemical Physics

JF - Chemical Physics

SN - 0301-0104

IS - 2-3

ER -