Molecular fluids at high dimensionality

A. Yukhimets; H. L. Frisch; J. K. Percus

doi:10.1023/a:1018635527522

Molecular fluids at high dimensionality

A. Yukhimets, H. L. Frisch, J. K. Percus

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We extend the analysis of orientational first-order phase transitions in anisotropic molecular fluids at high spatial dimensionality to hard-disk fluids, and then to mixture of hard disks and hard spheres. The effect of hard-sphere admixture depends sensitively on the relative sizes of the two geometrical objects, and large spheres completely quench the disk transition. An introductory study is made of spatially ordered states.

Original language	English (US)
Pages (from-to)	135-151
Number of pages	17
Journal	Journal of Statistical Physics
Volume	100
Issue number	1-2
DOIs	https://doi.org/10.1023/a:1018635527522
State	Published - Jul 2000

Keywords

Anisotropic fluid
Fluid mixture
Hard particles
High-dimensional space
Phase transition

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/a:1018635527522

Cite this

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T1 - Molecular fluids at high dimensionality

AU - Yukhimets, A.

AU - Frisch, H. L.

AU - Percus, J. K.

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AB - We extend the analysis of orientational first-order phase transitions in anisotropic molecular fluids at high spatial dimensionality to hard-disk fluids, and then to mixture of hard disks and hard spheres. The effect of hard-sphere admixture depends sensitively on the relative sizes of the two geometrical objects, and large spheres completely quench the disk transition. An introductory study is made of spatially ordered states.

KW - Anisotropic fluid

KW - Fluid mixture

KW - Hard particles

KW - High-dimensional space

KW - Phase transition

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JF - Journal of Statistical Physics

IS - 1-2

ER -

Molecular fluids at high dimensionality

Abstract

Keywords

ASJC Scopus subject areas

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