Critical exponents of isotropic-hexatic phase transition in the hard-disk system

Hiroshi Watanabe; Satoshi Yukawa; Yukiyasu Ozeki; Nobuyasu Ito

Critical exponents of isotropic-hexatic phase transition in the hard-disk system

Hiroshi Watanabe, Satoshi Yukawa, Yukiyasu Ozeki, Nobuyasu Ito

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

Abstract

A nonequilibrium relaxation (NER) method was proposed to study the nonequilibrium relaxation behavior of a bond-orientational order parameter. The parameter was introduced to characterize the two-dimensional melting. Up to 512 independent samples were averaged and about 10⁹ collisions were performed for each density. Time evolution of the system was performed by event-driven molecular dynamics simulation. The NER behavior of the bond orientational parameter indicates that the transition between the isotopic and hexatic phase is a Kosterlitz-Thouless transition.

Original language	English
Article number	045103
Pages (from-to)	045103-1-045103-4
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	69
Issue number	4 2
Publication status	Published - 2004 Apr
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Cite this

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abstract = "A nonequilibrium relaxation (NER) method was proposed to study the nonequilibrium relaxation behavior of a bond-orientational order parameter. The parameter was introduced to characterize the two-dimensional melting. Up to 512 independent samples were averaged and about 109 collisions were performed for each density. Time evolution of the system was performed by event-driven molecular dynamics simulation. The NER behavior of the bond orientational parameter indicates that the transition between the isotopic and hexatic phase is a Kosterlitz-Thouless transition.",

author = "Hiroshi Watanabe and Satoshi Yukawa and Yukiyasu Ozeki and Nobuyasu Ito",

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AU - Watanabe, Hiroshi

AU - Yukawa, Satoshi

AU - Ozeki, Yukiyasu

AU - Ito, Nobuyasu

PY - 2004/4

Y1 - 2004/4

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AB - A nonequilibrium relaxation (NER) method was proposed to study the nonequilibrium relaxation behavior of a bond-orientational order parameter. The parameter was introduced to characterize the two-dimensional melting. Up to 512 independent samples were averaged and about 109 collisions were performed for each density. Time evolution of the system was performed by event-driven molecular dynamics simulation. The NER behavior of the bond orientational parameter indicates that the transition between the isotopic and hexatic phase is a Kosterlitz-Thouless transition.

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IS - 4 2

M1 - 045103

ER -

Critical exponents of isotropic-hexatic phase transition in the hard-disk system

Abstract

ASJC Scopus subject areas

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