Difference between revisions of "Idealised models"

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m (Piecewise continuous models: Added an internal link to Square well chains)
m ('Hard' models: Added anb internal link)
 
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*[[Roberts and Debenedetti model]]
 
*[[Roberts and Debenedetti model]]
 
*[[RP(n-1) model]]
 
*[[RP(n-1) model]]
*N-vector model:
+
*N-vector or O(N) model:
**[[Self-avoiding walk model]] (n=0)
+
**[[Self-avoiding walk model]] (N=0)
**[[Ising Models]] (n=1)
+
**[[Ising Models]] (N=1)
**[[XY model]] (n=2)
+
**[[XY model]] (N=2)
**[[Heisenberg model]] (n=3)
+
**[[Heisenberg model]] (N=3)
 
*[[Toda lattice]]
 
*[[Toda lattice]]
 
*[[Triangular lattice ramp model]]
 
*[[Triangular lattice ramp model]]
  
 
=='Hard' models==
 
=='Hard' models==
*[[Hard core Yukawa]]
+
*[[Hard core Lennard-Jones model]]
 +
*[[Hard core Yukawa potential]]
 
*[[Hard cube model]]
 
*[[Hard cube model]]
 +
*[[Hard cylinder model]]
 
*[[Hard ellipsoid model]]
 
*[[Hard ellipsoid model]]
 
**[[Hard ellipse model]]
 
**[[Hard ellipse model]]
 
*[[Hard superball model]]
 
*[[Hard superball model]]
 
*[[1-dimensional hard rods]]
 
*[[1-dimensional hard rods]]
 +
*[[2-dimensional hard rods]]
 
*[[3-dimensional hard rods]]
 
*[[3-dimensional hard rods]]
 +
*[[Hard partial spherical surfaces]]
 
*[[Hard pentagon model]]
 
*[[Hard pentagon model]]
 
*[[Hard polyhedra model]]
 
*[[Hard polyhedra model]]
 +
*[[Hard rhombic platelets]]
 +
*[[Hard right rhombic prisms]]
 
*[[Hard sphere model | Hard sphere]]
 
*[[Hard sphere model | Hard sphere]]
 
**[[Hard disks]] (in a two dimensional space)
 
**[[Hard disks]] (in a two dimensional space)
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**[[Charged hard spherocylinders]]
 
**[[Charged hard spherocylinders]]
 
**[[Oblate hard spherocylinders]]
 
**[[Oblate hard spherocylinders]]
 +
*[[Hard spheroellipsoids]]
 
*[[Hard tetrahedron model]]
 
*[[Hard tetrahedron model]]
 +
*[[Hard triangular prism model]]
 
*[[Parallel hard cubes]]
 
*[[Parallel hard cubes]]
 +
*[[Quantum hard spheres]]
 
*[[Rough hard sphere model]]
 
*[[Rough hard sphere model]]
 
*[[Sutherland potential]]
 
*[[Sutherland potential]]
Line 74: Line 83:
 
*[[Square well spherocylinders]]
 
*[[Square well spherocylinders]]
 
*[[Soft-core square well model]]
 
*[[Soft-core square well model]]
 +
*[[Soft sphere potential]]
 
*[[Square shoulder model]]
 
*[[Square shoulder model]]
 
*[[Square shoulder + square well model]]
 
*[[Square shoulder + square well model]]
Line 79: Line 89:
 
*[[Sticky hard sphere model]]
 
*[[Sticky hard sphere model]]
 
*[[Triangular well model]]
 
*[[Triangular well model]]
*[[Soft sphere potential]]
+
*[[Weeks-Chandler-Andersen reference system model]]
 
====Multi-site models====
 
====Multi-site models====
 
*[[Square well chains]]
 
*[[Square well chains]]
 +
*[[Weeks-Chandler-Andersen chains]]
  
 
=='Soft' models==
 
=='Soft' models==
 +
*[[3-petal rose potential]]
 +
*[[Approximate non-conformal potential]]
 
*[[Born-Huggins-Meyer potential]]
 
*[[Born-Huggins-Meyer potential]]
 
*[[Buckingham potential]]
 
*[[Buckingham potential]]
Line 94: Line 107:
 
*[[Gaussian overlap model]] (including the Gaussian core model)
 
*[[Gaussian overlap model]] (including the Gaussian core model)
 
*[[Gay-Berne model]]
 
*[[Gay-Berne model]]
*[[Harmonic repulsion potential]]
+
**[[Soft-core Gay-Berne model]]
 +
*[[Generalized exponential model]]
 
*[[Intermolecular Interactions]]
 
*[[Intermolecular Interactions]]
 
*[[Kihara potential]]
 
*[[Kihara potential]]
Line 102: Line 116:
 
**[[Lennard-Jones model in 4-dimensions]]  
 
**[[Lennard-Jones model in 4-dimensions]]  
 
**[[Lennard-Jones sticks]]
 
**[[Lennard-Jones sticks]]
**[[modified Lennard-Jones model]]
 
 
**[[n-6 Lennard-Jones potential]]
 
**[[n-6 Lennard-Jones potential]]
 
**[[8-6 Lennard-Jones potential]]
 
**[[8-6 Lennard-Jones potential]]
Line 111: Line 124:
 
**[[Soft-core Lennard-Jones model]]
 
**[[Soft-core Lennard-Jones model]]
 
**[[Stockmayer potential]]
 
**[[Stockmayer potential]]
**[[Two center Lennard-Jones model]]
+
*[[Lennard-Jones-Gauss potential]]
 
*[[m-6-8 potential function]]
 
*[[m-6-8 potential function]]
 
*[[Manning and Rosen potential]]
 
*[[Manning and Rosen potential]]
Line 119: Line 132:
 
*[[Rosen and Morse potential]]
 
*[[Rosen and Morse potential]]
 
*[[United-atom model]]
 
*[[United-atom model]]
 +
*[[SALR potential]]
 
*[[Single site anisotropic soft-core potential]]
 
*[[Single site anisotropic soft-core potential]]
 
*[[Snub hexagonal model]]
 
*[[Snub hexagonal model]]
*[[Soft-core square well model]]
 
*[[Soft sphere potential]]
 
 
*[[Soft sphere attractive Yukawa model]]
 
*[[Soft sphere attractive Yukawa model]]
 
*[[Tietz potential]]
 
*[[Tietz potential]]
 +
*[[Uhlenbeck-Ford model]]
 
*[[Wei potential]]
 
*[[Wei potential]]
 
*[[Yoshida and Kamakura model]]
 
*[[Yoshida and Kamakura model]]
 
====Multi-site models====
 
====Multi-site models====
 +
*[[Chiral tetramer model]]
 +
*[[Flexible Lennard-Jones chains]]
 
*[[Rigid linear Lennard-Jones chains]]
 
*[[Rigid linear Lennard-Jones chains]]
 +
*[[Two center Lennard-Jones model]]
 +
*[[Two center Lennard-Jones plus point dipole model]]
 +
*[[Two center Lennard-Jones plus point quadrupole model]]
  
 
==Patchy models==
 
==Patchy models==
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**[[Modulated patchy Lennard-Jones model]]
 
**[[Modulated patchy Lennard-Jones model]]
 
**[[Smith and Nezbeda associated fluid model]]
 
**[[Smith and Nezbeda associated fluid model]]
 +
**[[Russo-Tartaglia-Sciortino model]]
 +
 
==Charged or polar models==
 
==Charged or polar models==
 
*[[Coulomb's law]]
 
*[[Coulomb's law]]
Line 149: Line 169:
 
*[[Restricted primitive model]]
 
*[[Restricted primitive model]]
 
*[[Shell model]]
 
*[[Shell model]]
 +
*[[Soft primitive model]]
 
*[[Stockmayer potential]]
 
*[[Stockmayer potential]]
 +
*[[Ultrasoft restricted primitive model]]
  
 
==Three-body and many-body potentials==
 
==Three-body and many-body potentials==

Latest revision as of 12:04, 17 September 2018

Idealised models usually consist of a simple intermolecular pair potential, whose purpose is often to study underlying physical phenomena, such as generalised phase diagrams and the study of phase transitions. It is entirely possible that a number of the models bear little or no resemblance to real molecular fluids.

Lattice models[edit]

'Hard' models[edit]

Multi-site models[edit]

Piecewise continuous models[edit]

Multi-site models[edit]

'Soft' models[edit]

Multi-site models[edit]

Patchy models[edit]

Charged or polar models[edit]

Three-body and many-body potentials[edit]

Metals[edit]