Idealised models: Difference between revisions
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*[[Henriques and Barbosa model]] | *[[Henriques and Barbosa model]] | ||
*[[Kagomé-lattice eight-vertex model]] | *[[Kagomé-lattice eight-vertex model]] | ||
*[[Kratky-Porod model]] (also known as ''semiflexible worm-like chains'') | |||
*[[Lattice gas]] | *[[Lattice gas]] | ||
*[[Lattice hard spheres]] | *[[Lattice hard spheres]] | ||
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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) | ||
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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]] | ||
*[[Widom-Rowlinson model]] | *[[Widom-Rowlinson model]] | ||
*[[Zwanzig model]] | |||
====Multi-site models==== | ====Multi-site models==== | ||
*[[Branched hard sphere chains]] | *[[Branched hard sphere chains]] | ||
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*[[Fused hard sphere chains]] | *[[Fused hard sphere chains]] | ||
*[[Hard dumbbell model]] | *[[Hard dumbbell model]] | ||
**[[Asymmetric hard dumbbell model]] | |||
*[[Rigid fully flexible fused hard sphere model]] | *[[Rigid fully flexible fused hard sphere model]] | ||
*[[Tangent linear hard sphere chains]] | *[[Tangent linear hard sphere chains]] | ||
| Line 60: | 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]] | ||
*[[Pseudo hard sphere potential]] | |||
*[[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]] | ||
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*[[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]] | ||
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*[[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]] | ||
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**[[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]] | ||
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*[[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== | ||
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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]] | ||
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*[[Charged hard spherocylinders]] | *[[Charged hard spherocylinders]] | ||
*[[Dipolar hard spheres]] | *[[Dipolar hard spheres]] | ||
*[[Dipolar Janus particles]] | |||
*[[Dipolar square wells]] | *[[Dipolar square wells]] | ||
*[[Dipolar square wells | Quadrupolar square wells]] | *[[Dipolar square wells | Quadrupolar square wells]] | ||
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*[[Keesom potential]] | *[[Keesom potential]] | ||
*[[Quadrupolar hard spheres]] | *[[Quadrupolar hard spheres]] | ||
*[[Quadrupolar Lennard-Jones model]] | |||
*[[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 11:04, 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]
- 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