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| {{Stub-general}} | | {{Stub-general}} |
| The [[phase diagrams |phase diagram]] of the [[Lennard-Jones model]]. | | The [[phase diagrams |phase diagram]] of the [[Lennard-Jones model]]. A very nice example of the phase diagram in the [[density-temperature]] plane is given in figure 3 of Ref. 1. |
| ==2 dimensions==
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| <ref>[http://dx.doi.org/10.1016/0378-4371(81)90222-3 J. A. Barker, D. Henderson, and F. F. Abraham "Phase diagram of the two-dimensional Lennard-Jones system; Evidence for first-order transitions", Physica A '''106''' pp. 226-238 (1981)]</ref>
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| ==3 dimensions==
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| A very nice example of the phase diagram in the [[density-temperature]] plane is given in Figure 3 of | |
| <ref>[http://dx.doi.org/10.1103/PhysRev.184.151 Jean-Pierre Hansen and Loup Verlet "Phase Transitions of the Lennard-Jones System", Physical Review '''184''' pp. 151-161 (1969)]</ref>,
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| and on the [[Phase diagrams: Pressure-temperature plane|pressure-temperature plane]] in Figure 6 of <ref>[http://dx.doi.org/10.1063/1.4898371 Alex Travesset "Phase diagram of power law and Lennard-Jones systems: Crystal phases", Journal of Chemical Physics '''141''' 164501 (2014)]</ref>.
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| ==4 dimensions== | | ==4 dimensions== |
| <ref>[http://dx.doi.org/10.1063/1.480138 M. Hloucha and S. I. Sandler "Phase diagram of the four-dimensional Lennard-Jones fluid", Journal of Chemical Physics '''111''' pp. 8043-8047 (1999)]</ref>
| | #[http://dx.doi.org/10.1063/1.480138 M. Hloucha and S. I. Sandler "Phase diagram of the four-dimensional Lennard-Jones fluid", Journal of Chemical Physics '''111''' pp. 8043-8047 (1999)] |
| ==Metastable phase== | | ==Metastable phase== |
| <ref>[http://dx.doi.org/10.1063/1.2953327 Hagai Eshet, Fabien Bruneval, and Michele Parrinello "New Lennard-Jones metastable phase", Journal of Chemical Physics '''129''' 026101 (2008)]</ref>
| | #[http://dx.doi.org/10.1063/1.2953327 Hagai Eshet, Fabien Bruneval, and Michele Parrinello "New Lennard-Jones metastable phase", Journal of Chemical Physics '''129''' 026101 (2008)] |
| ==Solid phase==
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| The Lennard-Jones potential has been known to form either [[Building up an hexagonal close packing structure |hexagonal close-packed]] (hcp) or [[Building up a face centered cubic lattice |face-centred-cubic]] (fcc) structure. <ref>[http://dx.doi.org/10.1063/1.4955061 Hertanto Adidharma and Sugata P. Tan "Accurate Monte Carlo simulations on FCC and HCP Lennard-Jones solids at very low temperatures and high reduced densities up to 1.30", Journal of Chemical Physics '''145''' 014503 (2016)]</ref>
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| Recently it has been shown that the ground state structure strongly depends on [[pressure]], cutoff radius and the potential truncation method; and stacking sequences (polytypes) other than fcc and hcp can be the ground state structure too, e.g. dhcp, 9R...etc.
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| <ref>[http://dx.doi.org/10.1039/C7CP02923C Lívia B. Pártay, Christoph Ortner, Albert P. Bartók, Chris J. Pickard and Gábor Csányi "Polytypism in the ground state structure of the Lennard-Jonesium", Physical Chemistry Chemical Physics '''19''' 19369 (2017)]</ref>.
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| ==See also== | | ==See also== |
| *[[Lennard-Jones equation of state]] | | *[[Lennard-Jones equation of state]] |
| ==References== | | ==References== |
| <references/>
| | #[http://dx.doi.org/10.1103/PhysRev.184.151 Jean-Pierre Hansen and Loup Verlet "Phase Transitions of the Lennard-Jones System", Physical Review '''184''' pp. 151-161 (1969)] |
| '''Related reading'''
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| *[http://dx.doi.org/10.1063/1.462271 B. Smit "Phase diagrams of Lennard‐Jones fluids", Journal of Chemical Physics '''96''' pp. 8639-8640 (1992)]
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| *[http://dx.doi.org/10.1063/1.4720089 Hiroshi Watanabe, Nobuyasu Ito, and Chin-Kun Hu "Phase diagram and universality of the Lennard-Jones gas-liquid system", Journal of Chemical Physics '''136''' 204102 (2012)]
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| *[http://dx.doi.org/10.1063/1.4944069 C. Calero1, C. Knorowski and A. Travesset "Determination of anharmonic free energy contributions: Low temperature phases of the Lennard-Jones system", Journal of Chemical Physics '''144''' 124102 (2016)]
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| [[category: phase diagrams]] | | [[category: phase diagrams]] |