Idealised models: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
m (→‎'Hard' models: Added anb internal link)
 
(23 intermediate revisions by the same user not shown)
Line 17: Line 17:
*[[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 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 46: 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]]
*[[Rough hard sphere model]]
*[[Rough hard sphere model]]
*[[Sutherland potential]]
*[[Sutherland potential]]
Line 76: 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 81: 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 97: Line 107:
*[[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]]
*[[Generalized exponential model]]
*[[Harmonic repulsion potential]]
*[[Intermolecular Interactions]]
*[[Intermolecular Interactions]]
*[[Kihara potential]]
*[[Kihara potential]]
Line 106: 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 123: 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]]
*[[Flexible Lennard-Jones chains]]
*[[Rigid linear Lennard-Jones chains]]
*[[Rigid linear Lennard-Jones chains]]
*[[Two center Lennard-Jones model]]
*[[Two center Lennard-Jones model]]
*[[Two center Lennard-Jones plus point dipole model]]
*[[Two center Lennard-Jones plus point dipole model]]
*[[Two center Lennard-Jones plus point quadrupole model]]


==Patchy models==
==Patchy models==
Line 158: Line 169:
*[[Restricted primitive model]]
*[[Restricted primitive model]]
*[[Shell model]]
*[[Shell model]]
*[[Soft primitive model]]
*[[Stockmayer potential]]
*[[Stockmayer potential]]
*[[Ultrasoft restricted primitive model]]
*[[Ultrasoft restricted primitive model]]

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]