Editing Hard ellipsoid model
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Using [[event-driven molecular dynamics]], it has been found that the maximally random jammed (MRJ) [[packing fraction]] for hard ellipsoids is <math>\phi=0.7707</math> for | Using [[event-driven molecular dynamics]], it has been found that the maximally random jammed (MRJ) [[packing fraction]] for hard ellipsoids is <math>\phi=0.7707</math> for | ||
models whose maximal aspect ratio is greater than <math>\sqrt{3}</math> | models whose maximal aspect ratio is greater than <math>\sqrt{3}</math> | ||
<ref | <ref>[http://dx.doi.org/10.1126/science.1093010 Aleksandar Donev, Ibrahim Cisse, David Sachs, Evan A. Variano, Frank H. Stillinger, Robert Connelly, Salvatore Torquato, and P. M. Chaikin "Improving the Density of Jammed Disordered Packings Using Ellipsoids", Science '''303''' pp. 990-993 (2004)]</ref> | ||
<ref | <ref>[http://dx.doi.org/10.1103/PhysRevLett.92.255506 Aleksandar Donev, Frank H. Stillinger, P. M. Chaikin and Salvatore Torquato "Unusually Dense Crystal Packings of Ellipsoids", Physical Review Letters '''92''' 255506 (2004)]</ref> | ||
==Equation of state== | ==Equation of state== | ||
:''Main article: [[Hard ellipsoid equation of state]]'' | :''Main article: [[Hard ellipsoid equation of state]]'' | ||
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Camp and Allen later studied biaxial ellipsoids | Camp and Allen later studied biaxial ellipsoids | ||
<ref>[http://dx.doi.org/10.1063/1.473665 Philip J. Camp and Michael P. Allen "Phase diagram of the hard biaxial ellipsoid fluid", Journal of Chemical Physics '''106''' pp. 6681- (1997)]</ref>. It has recently been shown | <ref>[http://dx.doi.org/10.1063/1.473665 Philip J. Camp and Michael P. Allen "Phase diagram of the hard biaxial ellipsoid fluid", Journal of Chemical Physics '''106''' pp. 6681- (1997)]</ref>. It has recently been shown | ||
<ref | <ref>[http://arxiv.org/abs/0908.1043 M. Radu, P. Pfleiderer, T. Schilling "Solid-solid phase transition in hard ellipsoids", arXiv:0908.1043v1 7 Aug (2009)]</ref> | ||
<ref | <ref>[http://dx.doi.org/10.1063/1.3251054 M. Radu, P. Pfleiderer, and T. Schilling "Solid-solid phase transition in hard ellipsoids", Journal of Chemical Physics '''131''' 164513 (2009)]</ref> | ||
that the [[SM2 structure]] is more stable than the [[Building up a face centered cubic lattice | face centered cubic]] structure for aspect ratios <math>a/b \ge 2.0</math> and densities <math>\rho \gtrsim 1.17</math>. An updated phase diagram, encompassing the [[SM2 structure]] structure | that the [[SM2 structure]] is more stable than the [[Building up a face centered cubic lattice | face centered cubic]] structure for aspect ratios <math>a/b \ge 2.0</math> and densities <math>\rho \gtrsim 1.17</math>. An updated phase diagram, encompassing the [[SM2 structure]] structure and the maximal packing fraction <ref>[http://dx.doi.org/10.1126/science.1093010 Aleksandar Donev, Ibrahim Cisse, David Sachs, Evan A. Variano, Frank H. Stillinger, Robert Connelly, Salvatore Torquato, and P. M. Chaikin "Improving the Density of Jammed Disordered Packings Using Ellipsoids", Science '''303''' pp. 990-993 (2004)]</ref> | ||
<ref>[http://dx.doi.org/10.1103/PhysRevLett.92.255506 Aleksandar Donev, Frank H. Stillinger, P. M. Chaikin and Salvatore Torquato "Unusually Dense Crystal Packings of Ellipsoids", Physical Review Letters '''92''' 255506 (2004)]</ref>, can be found in <ref>[https://doi.org/10.1063/1.36993314 G. Odriozola "Revisiting the phase diagram of hard ellipsoids", Journal of Chemical Physics '''136''' 134505 (2012)]</ref> <ref>[https://doi.org/10.1063/1.4789957 G. Odriozola "Further details on the phase diagram of hard ellipsoids of revolution", Journal of Chemical Physics '''138''' 064501 (2013)]</ref>. | |||
==Hard ellipse model== | ==Hard ellipse model== |