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Model in statistical mechanics generalizing the Ising model
The model is named after Renfrey Potts, who described the model near the end of his 1951 Ph.D. thesis. The model was related to the "planar Potts" or
Potts_model
Computational model of cells and tissues
computational biology, a Cellular Potts model (CPM, also known as the Glazier-Graner-Hogeweg model) is a computational model of cells and tissues. It is used
Cellular_Potts_model
Clustering and community detection algorithm
)\delta (c_{i},c_{j})} Typically Potts models such as RB or CPM include a resolution parameter in their calculation. Potts models are introduced as a response
Leiden_algorithm
Spin model on a planar lattice
The chiral Potts model is a spin model on a planar lattice in statistical mechanics studied by Helen Au-Yang Perk and Jacques Perk, among others. It may
Chiral_Potts_model
Science that understands human crowds
Simulations done on the Potts model both show Axelrod's model of cultural dissemination agrees with the Potts model as an Ising-class model. In modern use "social
Social_physics
Type of random graph
etc. the random cluster model is a random graph that generalizes and unifies the Ising model, Potts model, and percolation model. It is used to study random
Random_cluster_model
Two dimensional conformal field theory
three-state Potts model has a central charge of c = 4 / 5 {\displaystyle c=4/5} , and thus belongs to the discrete family of unitary minimal models with central
Critical three-state Potts model
Critical_three-state_Potts_model
Algebraic encoding of graph connectivity
Jones polynomial from knot theory and the partition functions of the Potts model from statistical physics. It is also the source of several central computational
Tutte_polynomial
Conformal field theory on a 2D spacetime
-state Potts model or critical random cluster model is a conformal field theory that generalizes and unifies the critical Ising model, Potts model, and
Two-dimensional conformal field theory
Two-dimensional_conformal_field_theory
Quantum field theory enjoying conformal symmetry
q {\displaystyle q} . The critical Potts model may be constructed as the continuum limit of the Potts model on d-dimensional hypercubic lattice. In
Conformal_field_theory
Physical model defined on a lattice
field theory. Ising model ANNNI model Potts model Chiral Potts model XY model Classical Heisenberg model n-vector model Vertex model Toda lattice cellular
Lattice_model_(physics)
Representation of a type of random process
In statistics, an autoregressive (AR) model is a modelled representation of a type of random process. It can be used to describe time-varying processes
Autoregressive_model
Topics referred to by the same term
same artist Potts model, model of interacting spins on a crystalline lattice Cellular Potts model, lattice-based computational modeling method to simulate
Potts
alphabet is 2, the model reduces to the Ising model. Since it is also reminiscent of the model of the same name, it is often called Potts model. Even knowing
Direct_coupling_analysis
Mathematical model of ferromagnetism in statistical mechanics
determine the critical temperatures of planar Potts model using percolation arguments (which includes the Ising model as a special case). While the laws of chemical
Ising_model
Lattice model of statistical mechanics
Quantum Heisenberg model Quantum rotor model Classical Heisenberg model Coulomb gas Goldstone boson Ising model Potts model n-vector model Kosterlitz–Thouless
Classical_XY_model
Cellular automaton with probabilistic rules
cellular automata and the cellular Potts model in particular when it is implemented in parallel. The Galves–Löcherbach model is an example of a generalized
Stochastic_cellular_automaton
been devised. A classical variational method for step detection is the Potts model. It is given by the non-convex optimization problem u ∗ = arg min u
Step_detection
Biology software
and modeling methodologies including the Cellular Potts model (CPM) or Glazier-Graner-Hogeweg model (GGH) (originally developed by James A. Glazier, François
CompuCell3D
Symmetry in statistical physics
triangular lattice, labyrinth, lattices with twisted boundaries, chiral Potts model, and many others. One of the consequences of Kramers–Wannier duality
Kramers–Wannier_duality
Statistical model in quantum mechanics of magnetic materials
The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions
Quantum_Heisenberg_model
Function in algebraic graph theory
Tutte polynomial by Hassler Whitney and W. T. Tutte, linking it to the Potts model of statistical physics. George David Birkhoff introduced the chromatic
Chromatic_polynomial
Character in the Marvel Cinematic Universe
named Pepper Potts from the start, Tony Stark addresses her as "Kitty" in one panel, which is thought to be a typo. Heck modeled Potts as Ann B. Davis'
Pepper Potts (Marvel Cinematic Universe)
Pepper_Potts_(Marvel_Cinematic_Universe)
Probabilistic problem-solving algorithm
cellular Potts model, interacting particle systems, McKean–Vlasov processes, kinetic models of gases.[citation needed] Other examples include modeling phenomena
Monte_Carlo_method
algorithm), is an algorithm for Monte Carlo simulation of the Ising model and Potts model in which the unit to be flipped is not a single spin (as in the
Wolff_algorithm
Mathematical model of magnetism
q-state quantum Potts model and the Z q {\displaystyle Z_{q}} quantum clock model are generalisations of the transverse field Ising model to lattice systems
Transverse-field_Ising_model
solve the n-vector model and certain generalizations are developed in the article on the Potts model. The Hamiltonian of the n-vector model is also the same
N-vector_model
Australian physicist (1940–2025)
solved models, in particular vertex models such as the six-vertex model and eight-vertex model, and the chiral Potts model and hard hexagon model. A recurring
Rodney_Baxter
was designed for the Ising and Potts models, and it was later generalized to other systems as well, such as the XY model by Wolff algorithm and particles
Swendsen–Wang_algorithm
Partitioning a digital image into segments
binary variant of the Potts model, i.e., if the range of u {\displaystyle u} is restricted to two values, is often called Chan-Vese model. An important generalization
Image_segmentation
Type of 2D conformal field theory
conditions in the antiferromagnetic Potts model and the S L ( 2 , R ) / U ( 1 ) {\displaystyle SL(2,\mathbb {R} )/U(1)} sigma model", arXiv:1906.07565
Wess–Zumino–Witten_model
Concept in statistical physics
Heisenberg model and certain generalizations is developed in the article on the Potts model. In the continuum limit the Heisenberg model (2) gives the
Classical_Heisenberg_model
American scientist (born 1962)
Gary Grest and Dr. David Srolovitz of Exxon Research applying the Potts Model to model the dynamics of foam coarsening. His work on foams led to extensive
James_A._Glazier
model in the limit as N → ∞ {\displaystyle N\rightarrow \infty } . It is also a special case of the chiral Potts model and the Kashiwara–Miwa model.
ZN_model
Australian mathematician (1925–2005)
Renfrey Burnard (Ren) Potts AO (1925–2005) was an Australian mathematician and is notable for the Potts model and his achievements in: operations research
Renfrey_Potts
American environmentalist
| Jody Potts-Joseph". Raven Clan Kennels | Jody Potts-Joseph. Retrieved 2025-09-03. Lealos, Shawn (2025-02-10). "'Life Below Zero' Jody Potts Wins Impressive
Jody_Potts-Joseph
Technique to make a model more generalizable and transferable
boosted trees). In explicit regularization, independent of the problem or model, there is always a data term, that corresponds to a likelihood of the measurement
Regularization_(mathematics)
Surname list
Campion Potts (1923–2016), British modern linguist Ebinabo Potts-Johnson (born 1988), Nigerian beauty pageant contestant and model Edward Potts (disambiguation)
Potts_(surname)
Field theory of a point particle confined to move on a fixed manifold
Heisenberg model. For n = 2 {\displaystyle n=2} , this is the continuum limit of the classical XY model. See also the n-vector model and the Potts model for
Sigma_model
American actress, singer and model (born 1982)
West (pronounced /ˈkaɪlər/ KY-lər; née Potts; born April 10, 1982) is an American actress, singer, and model. She is best known for her roles as Janey
Chyler_Leigh
Dutch biophysicist
selection pressures. Extending the Cellular Potts model (CPM) to study morphogenesis and development she modeled the complete life cycle of Dictyostelium
Paulien_Hogeweg
Branch of discrete mathematics
physics. Examples include an exact solution of the Ising model, and a connection between the Potts model on one hand, and the chromatic and Tutte polynomials
Combinatorics
American physicist and academic
every lattice site that can point in q directions, to a Potts lattice gas, in which there are Potts spins only on a fraction of the lattice sites. In doing
Michael_Schick_(physicist)
Topics referred to by the same term
National Public Radio member organization Carboxypeptidase M Cellular Potts model, a computer simulation of cellular structures Central pontine myelinolysis
CPM
Stochastic volatility model used in derivatives markets
In mathematical finance, the SABR model is a stochastic volatility model, which attempts to capture the volatility smile in derivatives markets. The name
SABR_volatility_model
American physicist
field theory, and has been a co-discoverer of the integrable chiral Potts model. He has also worked extensively in quantum field theory and more recently
Barry_M._McCoy
Mathematical invariant of a knot or link
into an algebra which originally arose while studying certain models, e.g. the Potts model, in statistical mechanics. Let a link L be given. A theorem of
Jones_polynomial
Mathematical model used to explain magnetism
Quantum Heisenberg model Hubbard model J1 J2 model Kuramoto model Magnetism Majumdar–Ghosh model Potts model t-J model Quantum rotor model Spin Spin stiffness
Spin_model
Mathematical model
simulation tool, using a combination of phase-field and Monte Carlo Potts models. OpenPhase is an open source software for the simulation of microstructure
Phase-field_model
Collection of models with the same renormalization group flow limit
Richard J.; Kim, Seung-Yeon (1997). "Critical Exponents of the Four-State Potts Model". Journal of Physics A: Mathematical and General. 30 (24): 8785–8786
Universality_class
Poinsot Polchinski's paradox – Joseph Polchinski Potts model (a.k.a. Ashkin–Teller model) – Renfrey B. Potts, Julius Ashkin, and Edward Teller Pourbaix diagram
Scientific phenomena named after people
Scientific_phenomena_named_after_people
Quantum lattice model
to the quantum three-state Potts model. When N = 4 {\displaystyle N=4} , the model is again equivalent to the Ising model. When N > 4 {\displaystyle N>4}
Quantum_clock_model
Theorem of dynamical systems
statistical lattice models Ising model in one- and two-dimensions Square ice model Eight-vertex model Hard hexagon model Chiral Potts model Exactly solvable
Liouville–Arnold_theorem
Family of solved 2D conformal field theories
3-state Potts model at criticality, ( p , q ) = ( 7 , 6 ) {\displaystyle (p,q)=(7,6)} : tricritical 3-state Potts model. The Kac tables of these models, together
Minimal_model_(physics)
Concept in statistics
Dirichlet process Gaussian random field Gibbs measure Hopfield model Ising model Potts model Boolean network Markov random field Percolation Pitman–Yor process
Gaussian_random_field
Model of mesons in the massless quark limit
In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the
Chiral_model
Property of certain dynamical systems
are examples. 8-vertex model Ice-type model of Lieb Gaudin model Ising model in 1- and 2-dimensions ZN model (or clock model) in 1- and 2-dimensions
Integrable_system
Phase transition in the two-dimensional (2-D) XY model
theory Goldstone boson Composite fermion Lambda transition Ising model Potts model Topological defect Quantum vortex Superfluid film Hexatic phase Kosterlitz
Berezinskii–Kosterlitz–Thouless transition
Berezinskii–Kosterlitz–Thouless_transition
Name list
victories during World War I Renfrey Burnard Potts (1925–2005), Australian mathematician notable for the Potts model John Burnard West FRCP (born 1928), respiratory
Burnard
Conformal field theory of the 2D Ising model critical point
same cluster. The Ising model can then be viewed as the case q = 2 {\displaystyle q=2} of the q {\displaystyle q} -state Potts model, whose parameter q {\displaystyle
Two-dimensional critical Ising model
Two-dimensional_critical_Ising_model
American model and activist
the Native Village of Eagle in Eagle Village, Alaska, on her mother Jody Potts-Joseph's side. Her biological father is Nathan Chasing Horse (Sicangu-Oglala
Quannah_Chasinghorse
Measure of network community structure
(2007). "Limited resolution in complex network community detection with Potts model approach". European Physical Journal B. 56 (1): 41–45. arXiv:cond-mat/0610370
Modularity_(networks)
sine-Gordon model supersymmetric sinh-Gordon model conformal minimal models critical Ising model tricritical Ising model 3-state Potts model various perturbations
List_of_integrable_models
Nonlinear partial differential equation
Kontorova (1939) in their study of crystal dislocations known as the Frenkel–Kontorova model. This equation attracted a lot of attention in the 1970s due to the presence
Sine-Gordon_equation
Marvel Comics fictional character
depict Potts using a blue Rescue armor based on the one from the film Avengers: Endgame. Deirdre Kaye of Scary Mommy called Pepper Potts a "role model" and
Pepper_Potts
Solution to a stochastic differential equation
paths. Diffusion processes are stochastic in nature and hence are used to model many real-life stochastic systems. Brownian motion, reflected Brownian motion
Diffusion_process
Mathematical theory on behavior of connected clusters in a random graph
the Fortuin–Kasteleyn random cluster model, which has many connections with the Ising model and other Potts models. Bernoulli (bond) percolation on complete
Percolation_theory
Integrable classical system
physics, the Garnier integrable system, also known as the classical Gaudin model is a classical mechanical system discovered by René Garnier in 1917, and
Garnier_integrable_system
Topics referred to by the same term
2008), French actor Cellular Potts model (also known as the Glazier and Graner model), a lattice-based computational modeling method to simulate the collective
Graner
Threshold of percolation theory models
correlated percolation, such as percolation clusters related to Ising and Potts models of ferromagnets, in which the bonds are put down by the Fortuin–Kasteleyn
Percolation_threshold
Features that do not change if length or energy scales are multiplied by a common factor
dimensions. Examples include the 2d critical Ising model and the more general 2d critical Potts model. Relating other 2d CFTs to SLE is an active area of
Scale_invariance
Subfield of materials science
science include cellular automata for solidification and grain growth, Potts model approaches for grain evolution and other Monte Carlo techniques, as well
Computational materials science
Computational_materials_science
French mathematician
circumstances, with a focus on Potts models. Duminil-Copin is researching conformal invariance in dependent percolation models in two dimensions. He said
Hugo_Duminil-Copin
Australian model and actor (1972–2019)
17 February 2019. Hoyer, Melissa (7 January 2019). "Model Annalise Braakensiek found dead in Potts Point apartment". The Daily Telegraph. Sydney. Retrieved
Annalise_Braakensiek
Modeling biology
on-lattice models such as cellular automata and cellular potts model and off-lattice models such as center-based models, vertex-based models, immersed
Agent-based_model_in_biology
Gauge theory providing unifying formalism for integrable systems
lattice models such as the six-vertex model of Lieb and the Heisenberg spin chain and integrable field theories such as principal chiral models, symmetric
Four-dimensional Chern–Simons theory
Four-dimensional_Chern–Simons_theory
Mathematical parameter in percolation theory
016117. PMID 15697668. Diehl, H. W.; P. M.Lam (1989). "Semi-infinite Potts model and percolation at surfaces". Z. Phys. B. 74 (3): 395–401. Bibcode:1989ZPhyB
Percolation critical exponents
Percolation_critical_exponents
Algebra used in 2D conformal field theories and string theory
mechanics systems at criticality, e.g., the Ising model, the tri-critical Ising model, the three-state Potts model, etc. By work of Weiqang Wang concerning fusion
Vertex_operator_algebra
Type of integrable system
spectral curves. (The Garnier system is the classical limit of the Gaudin model. In turn, the Schlesinger equations are the classical limit of the Knizhnik–Zamolodchikov
Hitchin_system
Mathematical models representing biological cells
can be divided into on- and off-lattice models. On-lattice models such as cellular automata or cellular potts restrict the spatial arrangement of the
Cell-based_models
Pittsburgh (1967–1991) Renfrey Potts University of Adelaide Queen's 1948 Australia Applied mathematician, defined the Potts model Eric Prabhakar University
List_of_Rhodes_Scholars
American racing driver
Speedway". ARCA Racing. January 29, 2025. "Greg Potts". The Third Turn. Retrieved January 29, 2025. "Greg Potts – 2023 ARCA Menards Series West Results". Racing-Reference
Greg_Potts
Associative algebra generalizing the Virasoro algebra
SU(N)_{1}}{SU(N)_{k+1}}}} . For example, the two-dimensional critical three-state Potts model has central charge c 5 , 6 ( 2 ) = c 4 , 5 ( 3 ) = 4 5 {\displaystyle
W-algebra
Australian model (born 1986)
Nicolas Potts, her long-term boyfriend. She has participated in Tamarama music videos, such as "Everything To Me" (alongside fellow Australian model Miranda
Jessica_Hart_(model)
Family of single engine American light aircraft, first flown in 1945
Airlife Publishing. pp. 75–77. ISBN 1-85310-577-5. Pelletier 1995, p. 89. Potts, Mike (July 2007). "Beech Bonanza: Celebrating 60 years of continuous production
Beechcraft_Bonanza
British computer scientist
Martin and M. Paterson, Improved mixing bounds for the anti-ferromagnetic Potts Model on Z2, LMS J. Comput. Math. 9 (2006) 1–20. L.A. Goldberg, R. Martin and
Mike_Paterson
Method for solving certain nonlinear partial differential equations
statistical lattice models Ising model in one- and two-dimensions Square ice model Eight-vertex model Hard hexagon model Chiral Potts model Exactly solvable
Inverse_scattering_transform
The chiral Potts curve is an algebraic curve defined over the complex numbers that occurs in the study of the chiral Potts model of statistical mechanics
Chiral_Potts_curve
Dirichlet process Gaussian random field Gibbs measure Hopfield model Ising model Potts model Boolean network Markov random field Percolation Pitman–Yor process
Continuous-time stochastic process
Continuous-time_stochastic_process
Mathematical model of waves on a shallow water surface
is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical
Korteweg–De_Vries_equation
Nigerian model
Ebinabo Potts-Johnson (born 1988) is a Nigerian model and beauty pageant titleholder who was crowned Most Beautiful Girl in Nigeria Universe 2007 and
Ebinabo_Potts-Johnson
Chinese mathematician (born 1968)
the cluster sampling algorithm (Swendsen-Wang) in physics from Ising/Potts models to arbitrary probabilities. This advancement in the field made the split-merge
Song-Chun_Zhu
Mathematical model for neuron networks
The Galves–Löcherbach (GL) model is a mathematical model for a network of neurons with intrinsic stochasticity. In the most general definition, a GL network
Galves–Löcherbach_model
American linguist and cognitive scientist
Christopher Potts (commonly known as Chris Potts) is an American linguist and cognitive scientist. He is Professor and Chair of the Department of Linguistics
Christopher_Potts
British materials scientist and engineer
Rohrer, Acta Materialia, 99, 63-68 (2015) “Abnormal Grain Growth in the Potts Model Incorporating Grain Boundary Complexions that Increase the Mobility of
Anthony_Rollett
Chinese-American physicist and mathematician (1932–2020)
models. In: Domb, Green (Hrsg.): Phase transitions and critical phenomena. Band 1. Academic Press, 1972, S. 331–490 (Vertex-Modelle) The Potts Model.
Fa-Yueh_Wu
Light twin-turboprop transport aircraft family
of a line of twin-turboprop aircraft produced by Beechcraft. The Model 200 and Model 300 series were originally marketed as the "Super King Air" family;
Beechcraft_Super_King_Air
American actress (born 1949)
Archived from the original on February 4, 2010. Retrieved January 17, 2012. Potts 2011, p. 180. Peck, Tom (July 2, 2010). "Meryl Streep takes on her toughest
Meryl_Streep
1103/PhysRevLett.58.86. PMID 10034599. Suzuki, Masuo (1967-04-01). "Solution of Potts Model for Phase Transition". Progress of Theoretical Physics. 37 (4): 770–772
Replica_cluster_move
1968 musical fantasy film by Ken Hughes
without wings. Dick Van Dyke as Caractacus Potts Sally Ann Howes as Truly Scrumptious Lionel Jeffries as Grandpa Potts Gert Fröbe as Baron Bomburst Anna Quayle
Chitty_Chitty_Bang_Bang
POTTS MODEL
POTTS MODEL
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Lord of Poets; Lord Ganesha
Girl/Female
Biblical
The posts of a door, splendor, beauty.
Surname or Lastname
English
English : patronymic from the personal name Gott 1.Possibly an Americanized spelling of German Götz (see Goetz).
Girl/Female
Greek
Favorite name with poets.
Boy/Male
Tamil
Lord of poets, Lord Ganesh, Small poem
Surname or Lastname
English
English : patronymic from Bott.Americanized spelling of German Botz.
Surname or Lastname
English (Kent)
English (Kent) : variant of Pettis.
Surname or Lastname
English
English : variant of Pitt.Americanized spelling of German Pitz.
Boy/Male
Indian, Sanskrit
Moon of Poets
Boy/Male
Indian, Sanskrit
Lord of Poets
Boy/Male
Indian, Sanskrit
Lord of Poets
Surname or Lastname
English
English : metronymic from Mott 2.
Girl/Female
Tamil
Lord of poets, Lord Ganesh, Small poem
Surname or Lastname
English and Scottish
English and Scottish : patronymic from Pott 1, particularly common in northeastern England.
Boy/Male
Hindu
Lord of poets, Lord Ganesh, Small poem
Boy/Male
Indian, Tamil
King of Poets
Boy/Male
Tamil
King of poets, Name of Lord Ganesh
Girl/Female
Hindu
Lord of poets, Lord Ganesh, Small poem
Surname or Lastname
English
English : from a medieval personal name, a short form of Philpott.English : topographic name for someone who lived by a depression in the ground, from Middle English pot ‘drinking or storage vessel’ used in this transferred sense, or a habitational name from one of the minor places deriving their name from this word, in the sense ‘pit’, ‘hole’.English and North German (Lower Rhine-Westphalia) : metonymic occupational name for a potter, from Middle English, Middle Low German pot ‘pot’. See also Potter.North German : topographic name for someone living on a low-lying plot, from Low German dialect pÅt ‘puddle’.
Surname or Lastname
English
English : patronymic or metronymic from Lott 1.Possibly an altered spelling of German Lotz.
POTTS MODEL
POTTS MODEL
Boy/Male
Egyptian
Apis.
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : variant spelling of Timmons.
Boy/Male
Indian
Who is every ones friend, Merciful, Kind
Boy/Male
Indian, Sanskrit
Messenger of the Gods
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Indian, Sanskrit
Virtuous; Divine; To be Pure; Flawless; Happiest
Boy/Male
Muslim
Young bird. Sprout.
Boy/Male
Muslim
Blessed
Girl/Female
Celebrity, Gujarati, Hindu, Indian, Malayalam, Marathi, Oriya, Sanskrit, Sindhi, Tamil, Telugu
Minor Deity; Goddess
Boy/Male
Hindu, Indian, Tamil
Small / Little Pearl
POTTS MODEL
POTTS MODEL
POTTS MODEL
POTTS MODEL
POTTS MODEL
n.
One who posts, or travels expeditiously; a courier.
v. t.
To place or inclose in pots
n.
A size of paper. See Pott.
n. pl.
See Bots.
v. t.
To preserve seasoned in pots.
n.
One who cleans pots; a scullion.
n.
One who posts bills; a billposter.
n.
The kinkajou.
v. i.
To shoot pouts.
n.
One who pots meats or other eatables.
n.
The clay of which such pots or cases are made.
n.
One who, or that which, pouts.
n.
A nocturnal mammal (Perodictius potto) of the Lemur family, found in West Africa. It has rudimentary forefingers. Called also aposoro, and bush dog.
n.
A size of paper. See under Paper.
v. t.
An inclosure, or pen, made with posts and stakes.
a.
Having no ports.
n.
A kind of clay for making melting pots.