Idealised models: Difference between revisions

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'''Idealised models''' usually consist of a simple [[Intermolecular pair potential|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 [[Realistic models | real molecular fluids]].
==Lattice models==
==Lattice models==
*[[Barker-Fock model]]
*[[Barker-Fock model]]
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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]] (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]]
====Recommended reading====
* Rodney J. Baxter  "Exactly Solved Models in Statistical Mechanics", Academic Press (1982)  ISBN 0120831821  ([http://tpsrv.anu.edu.au/Members/baxter/book/Exactly.pdf freely available pdf of book])


=='Hard' models==
=='Hard' models==
*[[Hard core Yukawa]]
*[[Hard core Lennard-Jones model]]
*[[Hard core Yukawa potential]]
*[[Hard cube model]]
*[[Hard cylinder model]]
*[[Hard ellipsoid model]]
*[[Hard ellipsoid model]]
**[[Hard ellipse model]]
**[[Hard ellipse 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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*[[Hard spherocylinders]]
*[[Hard spherocylinders]]
**[[Charged hard spherocylinders]]
**[[Charged hard spherocylinders]]
**[[Oblate hard spherocylinders]]
*[[Hard spheroellipsoids]]
*[[Hard tetrahedron model]]
*[[Hard triangular prism model]]
*[[Parallel hard cubes]]
*[[Parallel hard cubes]]
*[[Quantum hard spheres]]
*[[Rough hard sphere model]]
*[[Sutherland potential]]
*[[Sutherland potential]]
*[[Widom-Rowlinson model]]
*[[Widom-Rowlinson model]]
*[[Zwanzig model]]
====Multi-site models====
====Multi-site models====
*[[Hard dumbbell model]]
*[[Branched hard sphere chains]]
*[[Branched hard sphere chains]]
*[[Flexible hard sphere chains]] (also known as the  ''pearl-necklace model'')
*[[Flexible hard sphere chains]] (also known as the  ''pearl-necklace model'')
*[[Fused hard sphere chains]]
*[[Fused hard sphere chains]]
*[[Hard dumbbell model]]
**[[Asymmetric hard dumbbell model]]
*[[Rigid fully flexible fused hard sphere model]]
*[[Tangent linear hard sphere chains]]
*[[Tangent linear hard sphere chains]]
*[[Tetrahedral hard sphere model]]


==Piecewise continuous models==
==Piecewise continuous models==
*[[Buldyrev and Stanley model]]
*[[Buldyrev and Stanley model]]
*[[Harmonic repulsion potential]]
*[[Hemmer and Stell model]]
*[[Hemmer and Stell model]]
*[[Hertzian sphere model]]
*[[Hertzian sphere model]]
*[[modified Lennard-Jones 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 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]]
**[[Double square well model]]
**[[Double square well 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]]
*[[Continuous shouldered well model]]
*[[Continuous shouldered well model]]
*[[Durian foam bubble model]]
*[[Durian foam bubble model]]
*[[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]]
*Lennard-Jones model:
*[[Lennard-Jones model | Lennard-Jones model (3D)]]
**[[Lennard-Jones model in 1-dimension]] (rods)
**[[Lennard-Jones model in 1-dimension]] (rods)
**[[Lennard-Jones disks | Lennard-Jones model in 2-dimensions]] (disks)
**[[Lennard-Jones disks | Lennard-Jones model in 2-dimensions]] (disks)
**[[Lennard-Jones model | Lennard-Jones model in 3-dimensions]] ('standard' model)
**[[Lennard-Jones model in 4-dimensions]]  
**[[Lennard-Jones model in 4-dimensions]]  
**[[Lennard-Jones sticks]]
**[[Lennard-Jones sticks]]
**[[n-6 Lennard-Jones potential]]
**[[8-6 Lennard-Jones potential]]
**[[9-3 Lennard-Jones potential]]
**[[9-3 Lennard-Jones potential]]
**[[9-6 Lennard-Jones potential]]
**[[200-100 Lennard-Jones potential]]
**[[10-4-3 Lennard-Jones potential]]
**[[10-4-3 Lennard-Jones potential]]
**[[Soft-core Lennard-Jones model]]
**[[Stockmayer potential]]
**[[Stockmayer potential]]
*[[Lennard-Jones-Gauss potential]]
*[[m-6-8 potential function]]
*[[Manning and Rosen potential]]
*[[Mie potential]]
*[[Mie potential]]
*[[Morse potential]]
*[[Morse potential]]
*[[Patchy particles]]
*[[Repulsive shoulder system with attractive well 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]]
*[[Soft sphere potential]]
*[[Snub hexagonal model]]
*[[Soft sphere attractive Yukawa model]]
*[[Tietz potential]]
*[[Uhlenbeck-Ford model]]
*[[Wei potential]]
*[[Yoshida and Kamakura model]]
====Multi-site models====
*[[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==
*[[Patchy particles]]
**[[Kern and Frenkel patchy model]]
**[[Modulated patchy Lennard-Jones model]]
**[[Smith and Nezbeda associated fluid model]]
**[[Russo-Tartaglia-Sciortino model]]


==Charged or polar models==
==Charged or polar models==
*[[Coulomb's law]]
*[[Charged hard dumbbells]]
*[[Charged hard dumbbells]]
*[[Charged hard spherocylinders]]
*[[Charged hard spherocylinders]]
*[[Dipolar hard spheres]]
*[[Dipolar hard spheres]]
*[[Dipolar Janus particles]]
*[[Dipolar square wells]]
*[[Dipolar square wells | Quadrupolar square wells]]
*[[Drude oscillators]]
*[[Keesom potential]]
*[[Keesom potential]]
*[[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 potentials==
==Three-body and many-body potentials==
*[[Many-body interactions]] - a general discussion page.
*[[Many-body interactions]] - a general discussion page.
*[[Axilrod-Teller interaction]]
*[[Axilrod-Teller interaction]]
 
*[[Keating potential]]
*[[Tersoff potential]]
*[[Stillinger-Weber potential]]
== Metals ==
== Metals ==
*[[Dzugutov potential]]
*[[Embedded atom model]]
*[[Embedded atom model]]
*[[Finnis-Sinclair]]
*[[Finnis-Sinclair]]
*[[Gupta potential]]
*[[Gupta potential]]
*[[Sutton-Chen]]
*[[Sutton-Chen]]
*[[Z1 and Z2 potentials]]
[[category:models]]
[[category:models]]
[[category:Computer simulation techniques]]
[[category:Computer simulation techniques]]

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]

'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]