Dipolar hard spheres: Difference between revisions
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==Virial coefficients== | ==Virial coefficients== | ||
The [[Virial equation of state | virial coefficients]] <ref>[http://dx.doi.org/10.1063/1.2736370 Konstantin I. Morozov "The dielectric virial expansion and the models of dipolar hard-sphere fluid", Journal of Chemical Physics '''126''' 194506 (2007)]</ref><ref>[http://dx.doi.org/10.1063/1.3615723 Douglas Henderson "Second virial coefficient for the dipolar hard sphere fluid", Journal of Chemical Physics '''135''' 044514 (2011)]</ref>. | The [[Virial equation of state | virial coefficients]] <ref>[http://dx.doi.org/10.1063/1.2736370 Konstantin I. Morozov "The dielectric virial expansion and the models of dipolar hard-sphere fluid", Journal of Chemical Physics '''126''' 194506 (2007)]</ref><ref>[http://dx.doi.org/10.1063/1.3615723 Douglas Henderson "Second virial coefficient for the dipolar hard sphere fluid", Journal of Chemical Physics '''135''' 044514 (2011)]</ref>. | ||
==Phase diagram== | |||
<ref>[http://dx.doi.org/10.1103/PhysRevLett.71.2729 J. J. Weis and D. Levesque "Chain formation in low density dipolar hard spheres: A Monte Carlo study", Physical Review Letters '''71''' pp. 2729-2732 (1993)]</ref> | |||
<ref>[http://dx.doi.org/10.1103/PhysRevLett.71.3991 M. E. van Leeuwen and B. Smit "What makes a polar liquid a liquid?", Physical Review Letters '''71''' pp. 3991-3994 (1993)]</ref> | |||
<ref>[http://dx.doi.org/10.1103/PhysRevE.48.3728 J. J. Weis and D. Levesque "Ferroelectric phases of dipolar hard spheres", Physical Review E '''48''' pp. 3728-3740 (1993)]</ref> | |||
<ref>[http://dx.doi.org/10.1103/PhysRevLett.76.2310 Richard P. Sear "Low-Density Fluid Phase of Dipolar Hard Spheres", Physical Review Letters '''76''' pp. 2310-2313 (1996)]</ref> | |||
<ref>[http://dx.doi.org/10.1209/0295-5075/80/56002 Y. V. Kalyuzhnyi, I. A. Protsykevytch and P. T. Cummings "Thermodynamic properties and liquid-gas phase diagram of the dipolar hard-sphere fluid", Europhysics Letters '''80''' 56002 (2007)]</ref> | |||
<ref>[http://dx.doi.org/10.1103/PhysRevLett.107.237801 L. Rovigatti, J. Russo and F. Sciortino "No Evidence of Gas-Liquid Coexistence in Dipolar Hard Spheres", Physical Review Letters '''107''' p. 237801 (2011)]</ref> | |||
<ref>[http://dx.doi.org/10.1080/00268976.2011.610368 D. Levesque and J.-J. Weis "Stability of solid phases in the dipolar hard sphere system", Molecular Physics '''109''' pp. 2747-2756 (2011)]</ref> | |||
==2-dimensions== | |||
<ref>[http://dx.doi.org/10.1063/1.4918369 Jean-Michel Caillol "Electrostatics on the sphere with applications to Monte Carlo simulations of two dimensional polar fluids", Journal of Chemical Physics '''142''' 154505 (2015)]</ref>. | |||
==References== | ==References== | ||
<references/> | <references/> | ||
;Related reading | |||
*[https://doi.org/10.1063/1.5035421 Marc Theiss and Joachim Gross "A third and fourth order perturbation theory for dipolar hard spheres", Journal of Chemical Physics 149, 044901 (2018)] | |||
[[category:models]] | [[category:models]] | ||
[[category:hard sphere]] | [[category:hard sphere]] | ||
Latest revision as of 13:40, 12 September 2018
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Dipolar hard spheres consist of the hard sphere model in conjunction with a dipole moment.
Virial coefficients[edit]
The virial coefficients [1][2].
Phase diagram[edit]
2-dimensions[edit]
[10].
References[edit]
- ↑ Konstantin I. Morozov "The dielectric virial expansion and the models of dipolar hard-sphere fluid", Journal of Chemical Physics 126 194506 (2007)
- ↑ Douglas Henderson "Second virial coefficient for the dipolar hard sphere fluid", Journal of Chemical Physics 135 044514 (2011)
- ↑ J. J. Weis and D. Levesque "Chain formation in low density dipolar hard spheres: A Monte Carlo study", Physical Review Letters 71 pp. 2729-2732 (1993)
- ↑ M. E. van Leeuwen and B. Smit "What makes a polar liquid a liquid?", Physical Review Letters 71 pp. 3991-3994 (1993)
- ↑ J. J. Weis and D. Levesque "Ferroelectric phases of dipolar hard spheres", Physical Review E 48 pp. 3728-3740 (1993)
- ↑ Richard P. Sear "Low-Density Fluid Phase of Dipolar Hard Spheres", Physical Review Letters 76 pp. 2310-2313 (1996)
- ↑ Y. V. Kalyuzhnyi, I. A. Protsykevytch and P. T. Cummings "Thermodynamic properties and liquid-gas phase diagram of the dipolar hard-sphere fluid", Europhysics Letters 80 56002 (2007)
- ↑ L. Rovigatti, J. Russo and F. Sciortino "No Evidence of Gas-Liquid Coexistence in Dipolar Hard Spheres", Physical Review Letters 107 p. 237801 (2011)
- ↑ D. Levesque and J.-J. Weis "Stability of solid phases in the dipolar hard sphere system", Molecular Physics 109 pp. 2747-2756 (2011)
- ↑ Jean-Michel Caillol "Electrostatics on the sphere with applications to Monte Carlo simulations of two dimensional polar fluids", Journal of Chemical Physics 142 154505 (2015)
- Related reading