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Universality in the three-dimensional hard-sphere lattice gas

✍ Scribed by Atsushi Yamagata

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
165 KB
Volume
231
Category
Article
ISSN
0378-4371

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✦ Synopsis

We perform Monte Carlo simulations of the hard-sphere lattice gas on the body-centred cubic lattice with nearest-neighbour exclusion. We get the critical exponents, fl/v = 0.311(8) and 7/v = 2.38(2), where fl, 7, and v are the critical exponents of the staggered density, the staggered compressibility, and the correlation length, respectively. The values of the hard-sphere lattice gas on the simple cubic lattice agree with them but those of the three-dimensional Ising model do not. This supports that the hard-sphere lattice gas does not fall into the Ising universality class in three dimensions.

πŸ“œ SIMILAR VOLUMES

Critical phenomena of the hard-sphere la
Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice
✍ Atsushi Yamagata πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 245 KB

We study the critical phenomena of the hard-sphere lattice gas on the simple cubic lattice with nearest neighbour exclusion by the Monte Carlo method. We get the critical exponents fl/~, = 0.313(9) and y/~, = 2.37(2), where fl is the critical exponent for the staggered density, Y for the staggered c

Critical activity of the hard-sphere lat
Critical activity of the hard-sphere lattice gas on the body-centred cubic lattice
✍ Atsushi Yamagata πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 257 KB

This is the first Monte Carlo study of the hard-sphere lattice gas with nearest neighbour cΓ—clusion on the body-centred cubic lattice. We estimate the critical activity to be 0.7223 + 0.0003. This result confirms that there is a re-entrant phase transition of an antiferromagnetic Ising model in an e