# Difference between revisions of "Idealised models"

Carl McBride (talk | contribs) m (→'Soft' models: Added an internal link) |
Carl McBride (talk | contribs) 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]] ( | + | **[[Self-avoiding walk model]] (N=0) |

− | **[[Ising Models]] ( | + | **[[Ising Models]] (N=1) |

− | **[[XY model]] ( | + | **[[XY model]] (N=2) |

− | **[[Heisenberg model]] ( | + | **[[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 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 42: | Line 49: | ||

**[[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 63: | Line 73: | ||

*[[Hemmer and Stell model]] | *[[Hemmer and Stell model]] | ||

*[[Hertzian sphere model]] | *[[Hertzian sphere model]] | ||

+ | *[[modified Lennard-Jones model]] | ||

*[[Penetrable sphere model]] | *[[Penetrable sphere model]] | ||

*[[Penetrable square well model]] | *[[Penetrable square well model]] | ||

Line 68: | Line 79: | ||

*[[Ramp model]] (also known as the '''Jagla model''') | *[[Ramp model]] (also known as the '''Jagla model''') | ||

*[[Square well model]] | *[[Square well model]] | ||

+ | **[[2-dimensional square well model]] | ||

*[[Square well lines potential]] | *[[Square well lines potential]] | ||

*[[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 76: | Line 89: | ||

*[[Sticky hard sphere model]] | *[[Sticky hard sphere model]] | ||

*[[Triangular well model]] | *[[Triangular well model]] | ||

− | *[[ | + | *[[Weeks-Chandler-Andersen reference system model]] |

+ | ====Multi-site models==== | ||

+ | *[[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 84: | Line 102: | ||

*[[Durian foam bubble model]] | *[[Durian foam bubble model]] | ||

*[[Exp-6 potential]] | *[[Exp-6 potential]] | ||

+ | *[[Fermi-Jagla model]] | ||

*[[Flexible molecules|Flexible molecules (intramolecular interactions)]] | *[[Flexible molecules|Flexible molecules (intramolecular interactions)]] | ||

*[[Fomin potential]] | *[[Fomin potential]] | ||

*[[Gaussian overlap model]] (including the Gaussian core model) | *[[Gaussian overlap model]] (including the Gaussian core model) | ||

*[[Gay-Berne model]] | *[[Gay-Berne model]] | ||

− | *[[ | + | **[[Soft-core Gay-Berne model]] |

+ | *[[Generalized exponential model]] | ||

*[[Intermolecular Interactions]] | *[[Intermolecular Interactions]] | ||

*[[Kihara potential]] | *[[Kihara potential]] | ||

Line 96: | Line 116: | ||

**[[Lennard-Jones model in 4-dimensions]] | **[[Lennard-Jones model in 4-dimensions]] | ||

**[[Lennard-Jones sticks]] | **[[Lennard-Jones sticks]] | ||

− | |||

**[[n-6 Lennard-Jones potential]] | **[[n-6 Lennard-Jones potential]] | ||

**[[8-6 Lennard-Jones potential]] | **[[8-6 Lennard-Jones potential]] | ||

Line 105: | Line 124: | ||

**[[Soft-core Lennard-Jones model]] | **[[Soft-core Lennard-Jones model]] | ||

**[[Stockmayer potential]] | **[[Stockmayer potential]] | ||

− | + | *[[Lennard-Jones-Gauss potential]] | |

*[[m-6-8 potential function]] | *[[m-6-8 potential function]] | ||

*[[Manning and Rosen potential]] | *[[Manning and Rosen potential]] | ||

Line 113: | 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 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== | ||

Line 129: | Line 153: | ||

**[[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 143: | 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.

## Contents

## Lattice models[edit]

- Barker-Fock model
- Blume-Emery-Griffiths model (including the Blume-Capel model)
- Bond fluctuation model
- Hard hexagon lattice model
- Hard square lattice model
- Henriques and Barbosa model
- Kagomé-lattice eight-vertex model
- Kratky-Porod model (also known as
*semiflexible worm-like chains*) - Lattice gas
- Lattice hard spheres
- Lebwohl-Lasher model
- Potts model
- Roberts and Debenedetti model
- RP(n-1) model
- N-vector or O(N) model:
- Self-avoiding walk model (N=0)
- Ising Models (N=1)
- XY model (N=2)
- Heisenberg model (N=3)

- Toda lattice
- Triangular lattice ramp model

## 'Hard' models[edit]

- Hard core Lennard-Jones model
- Hard core Yukawa potential
- Hard cube model
- Hard cylinder model
- Hard ellipsoid model
- Hard superball model
- 1-dimensional hard rods
- 2-dimensional hard rods
- 3-dimensional hard rods
- Hard partial spherical surfaces
- Hard pentagon model
- Hard polyhedra model
- Hard rhombic platelets
- Hard right rhombic prisms
- Hard sphere
- Hard disks (in a two dimensional space)
- Hard disks in a three dimensional space (including hard-cut spheres)
- Hard hyperspheres
- Dipolar hard spheres

- Hard spherocylinders
- Hard spheroellipsoids
- Hard tetrahedron model
- Hard triangular prism model
- Parallel hard cubes
- Quantum hard spheres
- Rough hard sphere model
- Sutherland potential
- Widom-Rowlinson model
- Zwanzig model

#### Multi-site models[edit]

- Branched hard sphere chains
- Flexible hard sphere chains (also known as the
*pearl-necklace model*) - Fused hard sphere chains
- Hard dumbbell model
- Rigid fully flexible fused hard sphere model
- Tangent linear hard sphere chains
- Tetrahedral hard sphere model

## Piecewise continuous models[edit]

- Buldyrev and Stanley model
- Harmonic repulsion potential
- Hemmer and Stell model
- Hertzian sphere model
- modified Lennard-Jones model
- Penetrable sphere model
- Penetrable square well model
- Pseudo hard sphere potential
- Ramp model (also known as the
**Jagla model**) - Square well model
- Square well lines potential
- Square well spherocylinders
- Soft-core square well model
- Soft sphere potential
- Square shoulder model
- Square shoulder + square well model
- Sticky hard sphere model
- Triangular well model
- Weeks-Chandler-Andersen reference system model

#### Multi-site models[edit]

## 'Soft' models[edit]

- 3-petal rose potential
- Approximate non-conformal potential
- Born-Huggins-Meyer potential
- Buckingham potential
- Continuous shouldered well model
- Durian foam bubble model
- Exp-6 potential
- Fermi-Jagla model
- Flexible molecules (intramolecular interactions)
- Fomin potential
- Gaussian overlap model (including the Gaussian core model)
- Gay-Berne model
- Generalized exponential model
- Intermolecular Interactions
- Kihara potential
- Lennard-Jones model (3D)
- Lennard-Jones model in 1-dimension (rods)
- Lennard-Jones model in 2-dimensions (disks)
- Lennard-Jones model in 4-dimensions
- Lennard-Jones sticks
- n-6 Lennard-Jones potential
- 8-6 Lennard-Jones potential
- 9-3 Lennard-Jones potential
- 9-6 Lennard-Jones potential
- 200-100 Lennard-Jones potential
- 10-4-3 Lennard-Jones potential
- Soft-core Lennard-Jones model
- Stockmayer potential

- Lennard-Jones-Gauss potential
- m-6-8 potential function
- Manning and Rosen potential
- Mie potential
- Morse potential
- Repulsive shoulder system with attractive well potential
- Rosen and Morse potential
- United-atom model
- SALR potential
- Single site anisotropic soft-core potential
- Snub hexagonal model
- Soft sphere attractive Yukawa model
- Tietz potential
- Uhlenbeck-Ford model
- Wei potential
- Yoshida and Kamakura model

#### Multi-site models[edit]

- Chiral tetramer model
- Flexible 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[edit]

## Charged or polar models[edit]

- Coulomb's law
- Charged hard dumbbells
- Charged hard spherocylinders
- Dipolar hard spheres
- Dipolar Janus particles
- Dipolar square wells
- Quadrupolar square wells
- Drude oscillators
- Keesom potential
- Quadrupolar hard spheres
- Quadrupolar Lennard-Jones model
- Restricted primitive model
- Shell model
- Soft primitive model
- Stockmayer potential
- Ultrasoft restricted primitive model

## Three-body and many-body potentials[edit]

- Many-body interactions - a general discussion page.
- Axilrod-Teller interaction
- Keating potential
- Tersoff potential
- Stillinger-Weber potential