Difference between revisions of "Idealised models"

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m ('Soft' models: changed "dashes")
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]]
Line 29: Line 29:
 
*[[Hard core Yukawa potential]]
 
*[[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 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)
Line 47: Line 51:
 
*[[Hard spheroellipsoids]]
 
*[[Hard spheroellipsoids]]
 
*[[Hard tetrahedron model]]
 
*[[Hard tetrahedron model]]
 +
*[[Hard triangular prism model]]
 
*[[Parallel hard cubes]]
 
*[[Parallel hard cubes]]
 
*[[Quantum hard spheres]]
 
*[[Quantum hard spheres]]
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*[[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 83: 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]]
 
*[[Approximate non-conformal potential]]
 
*[[Born-Huggins-Meyer potential]]
 
*[[Born-Huggins-Meyer potential]]
Line 101: Line 109:
 
**[[Soft-core Gay-Berne model]]
 
**[[Soft-core Gay-Berne model]]
 
*[[Generalized exponential model]]
 
*[[Generalized exponential model]]
*[[Harmonic repulsion potential]]
 
 
*[[Intermolecular Interactions]]
 
*[[Intermolecular Interactions]]
 
*[[Kihara potential]]
 
*[[Kihara potential]]
Line 109: 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 126: 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]]

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]